fraction problem solving for grade 5

Fraction Word Problems (Grade 5)

These lessons, with videos, examples and solutions help Grade 5 students learn to solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Related Pages Common Core for Grade 5 More Lessons for Grade 5

For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Common Core: 5.NF.2

Suggested Learning Targets

• I can solve addition and subtraction word problems with fractions.
• I can estimate fractions to make sense of my answer.

Solve Fraction Word Problems with Visual Bar Models

Example: Kayla weighed her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?

Add mixed numbers word problems

Example: While gardening, Jan spend 1 3/4 hours planting and 2 1/8 hours trimming. What was the total hours worked by Jan in her garden?

Solve word problems involving addition of fractions - unlike denominators

Example: Matthew ran 1/6 of a mile then took a break before running another 3/4 of a mile. How far did Matthew run in all?

Subtracting Fractions From Whole Numbers Solve a word problem using bar models.

Example: A craft store has a 9-yard spool of ribbon. In the morning, a customer buys 1/5 yard of ribbon from the spool. In the afternoon, another customer buys 7/10 yard of ribbon from the spool. How much ribbon is left?

Adding and subtracting unlike fractions word problems

• Drew and Maddy were filling the class raised garden bed with soil. Drew shoveled in 1/3 of a cubic yard, and Maddy shoveled in 1/2 of a cubic yard. How much soil did they put into the garden bed altogether?
• Caden invited Owen over to his house. Caden shared his chocolate stash from last Halloween. He still had 4/5 of a pound of chocolate. Caden asked Owen how much chocolate he would like. Owen said that he would like 1/3 of a pound of chocolate. How much chocolate does Caden have left?

Adding and subtracting mixed numbers word problems

• Jaida went gold panning and found 1 1/5 pounds of gold. The next day she found 3 1/4 pound more. How much total gold did Jaida find?
• Jonathan collected 4 1/2 kilograms of filberts. He gave 2 3/4 kilograms to his friend. How many kilograms of filberts does Jonathan have now?

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5th Grade Fractions Worksheets

In 5th Grade Fractions Worksheets we will solve how to compare two fractions, comparing mixed fractions, addition of like fractions, addition of unlike fractions , addition of mixed fractions , word problems on addition of fractions, subtraction of like fractions, subtraction of unlike fractions, word problems on subtraction of fractions, multiplications of fractions, word problems on multiplication of fractions, fraction of fraction, reciprocal of fractions, division of fractions, word problems on division of fractions.

I. Answer the following:

1. The reciprocal of 7\(\frac{1}{8}\) is ………….. .

2. 8 boys shared \(\frac{2}{5}\) of a cake equally. What fraction of the cake did each boy get?

3. Which is greater 5\(\frac{1}{7}\) or 3\(\frac{1}{7}\)?

4. What is the half of 60?

5. Find the difference between the sum and product of 2\(\frac{1}{4}\) and 1\(\frac{4}{5}\).

6. Which is greater \(\frac{23}{25}\) or 1?

7. If \(\frac{17}{19}\) of the cup is filled, then what fraction of the cup is empty?

8. A family eats 1\(\frac{2}{3}\) cakes in a meal. Will 3 cakes be enough for 2 meals?

Operations on Fractions

II. Solve the given:

(i) \(\frac{7}{10}\) + \(\frac{3}{10}\)

(ii) \(\frac{14}{25}\) - \(\frac{9}{25}\)

(iii) \(\frac{5}{7}\) + \(\frac{13}{28}\) + \(\frac{3}{4}\)

(iv) 7 - \(\frac{3}{12}\)

(v) \(\frac{8}{15}\) + \(\frac{19}{30}\) - \(\frac{4}{5}\)

(vi) \(\frac{16}{44}\) ÷ \(\frac{8}{11}\)

(vii) \(\frac{6}{31}\) × \(\frac{62}{18}\)

(viii) \(\frac{24}{50}\) ÷ \(\frac{8}{25}\)

(ix) \(\frac{13}{18}\) ÷ \(\frac{39}{36}\)

Fraction of a Fraction

III. Find the given:

(i) \(\frac{2}{10}\) of 40 mangoes

(ii) \(\frac{3}{15}\) of $75

(iii) \(\frac{3}{4}\) of 20 cups

(iv) \(\frac{3}{7}\) of 1 week

IV. Compare the given fractions and put the right sign <, > or =.

(i) \(\frac{3}{4}\) ……… \(\frac{5}{6}\)

(ii) \(\frac{5}{7}\) ……… \(\frac{15}{21}\)

(i) \(\frac{17}{34}\) ……… \(\frac{8}{32}\)

V. Convert the given fractions in lowest terms:

(i) \(\frac{15}{60}\)

(ii) \(\frac{22}{77}\)

(iii) \(\frac{18}{54}\)

(iv) \(\frac{36}{60}\)

(v) \(\frac{21}{63}\)

VI. Word Problems on Fractions:

1. The cost of comic is $57\(\frac{1}{2}\) and that of color book is $25\(\frac{1}{4}\). Which costs more and by how much?

2. Tom spent \(\frac{3}{5}\) of his money on bag and spent \(\frac{2}{7}\) of his money on stationary. What fraction of money is left with him?

3. Kate has $630. She wants to buy a bag that costs \(\frac{5}{9}\) of the amount she has. What should be the cost of the bag?

4. How many pieces of 2\(\frac{3}{4}\) m each can be cut from a string of 16\(\frac{1}{2}\) m length?

Answers on 5th Grade Fractions Worksheets are given below to check the exact answers of the questions. 

I.   1.  \(\frac{8}{27}\)

2.  \(\frac{1}{20}\)

3.  5\(\frac{1}{7}\)

4.  30

7.  \(\frac{2}{19}\)

8.  No, 3\(\frac{1}{3}\) cakes required

II.  (i) 1

(ii) \(\frac{1}{5}\)

(iii) 1\(\frac{13}{14}\)

(iv) \(\frac{81}{12}\)

(v) \(\frac{11}{30}\)

(vi) \(\frac{1}{2}\)

(vii) \(\frac{2}{3}\)

(viii) \(\frac{3}{2}\)

(ix) \(\frac{2}{3}\)

III.  (i) 8 mangoes

(iii) 15 cups

(iv) 3 days

IV.  (i) \(\frac{3}{4}\) < \(\frac{5}{6}\)

(ii) \(\frac{5}{7}\) = \(\frac{15}{21}\)

(i) \(\frac{17}{34}\) > \(\frac{8}{32}\)

V.  (i) \(\frac{1}{4}\)

(ii) \(\frac{2}{7}\)

(iii) \(\frac{1}{3}\)

(iv) \(\frac{3}{5}\)

(v) \(\frac{1}{3}\)

VI. 1.  Comic cost more, $32\(\frac{1}{4}\)

2.  \(\frac{4}{35}\)

3.  $350

5th Grade Math Problems

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Home / United States / Math Classes / Worksheets / 5th Grade Fraction Worksheets

5th Grade Fraction Worksheets

A fraction represents the number of equal parts that are considered from the total number of equal parts. These fifth gr ade fraction worksheets help the student to strengthen their understanding of the concept of fractions by introducing additional concepts related to fractions. ...Read More Read Less

• Interactive Worksheets

Choose Math Worksheets by Grade

Choose math worksheets by topic, 5th grade fraction worksheets explained:.

A fraction is a part of a whole. It consists of two natural numbers, say a and b, written in an ‘ a b ’ form where the number a represents the number of equal parts that are being counted, and number b represents the number of equal parts that are in a whole. These fraction worksheets for grade 5 consist of the different varieties of questions related to fractions such as equivalent fractions, conversion of fractions and decimals, conversion of improper fractions to mixed numbers, and mixed numbers to improper fractions. The fraction worksheets for grade 5 helps the student to recall and examine the terms and concepts related to fractions in a comprehensive manner.

The fifth grade fraction worksheets consist of questions based on the following topics:

• Equivalent fractions: The fifth grade fraction worksheets consist of questions in which equivalent fractions are calculated as well as two fractions are compared by forming equivalent fractions. These worksheets also improve the multiplication abilities of students.
• Decimal to fraction and the inverse operation: The fifth grade interactive worksheets contain questions in which the conversion of decimals to fractions is tested, and this conversion is done without simplifying the fraction.
• Improper fractions to mixed numbers and the inverse operation: Improper fractions can be written as mixed numbers. Inversely, mixed numbers can also be written as improper fractions. The fraction worksheets for grade 5 contain questions which helps the student to understand the conversion of fractions.
• Simplifying fractions: The numerators and denominators of a fractions may have common factors. Dividing the numerator and denominator with their common factors until no common factor except 1 exists, is called the simplification of fractions. Students simplify fractions to make the calculation easier.

If you feel the need to refresh your understanding of fractions as a concept, click on the following links:

• Introduction of fractions
• https://byjus.com/us/math/introduction-to-fractions/
• Equivalent fractions and their comparison
• https://byjus.com/us/math/equivalent-fractions-and-their-comparison/
• https://byjus.com/us/math/addition-and-subtraction-of-fractions/
• find the sum of fractions by decomposing the fractions
• https://byjus.com/us/math/find-the-sum-of-fractions-by-decomposing-the-fractions/
• Understand multiples of fractions using unit fractions
• https://byjus.com/us/math/understand-multiples-of-fractions-using-unit-fractions/
• Concept of multiplication in whole numbers and fractions
• https://byjus.com/us/math/concept-of-multiplication-in-whole-numbers-and-fractions/
• Fractions, decimals and Percents
• https://byjus.com/us/math/fractions-decimals-and-percentages/
• Addition and subtraction of fractions
• https://byjus.com/us/math/addition-and-subtraction-of-fractions-2/
• Ordering and comparing Percents, decimals and fractions
• https://byjus.com/us/math/ordering-and-comparing-percents,-decimals-and-fractions /
• Percents and Fractions
• https://byjus.com/us/math/percents-and-fractions/
• Operations on fraction using division of mixed fractions
• https://byjus.com/us/math/operations-on-fractions-using-division-of-mixed-fractions/
• Problem solving using fractions
• https://byjus.com/us/math/problem-solving-using-fractions/

Benefits of 5th Grade Fraction Worksheets:

• Fraction problems (Easy): These fifth grade fraction worksheets help the student to recall the methods and strategies of solving problems related to fractions. The process of solving worksheets starts with the student solving basic operations such as finding equivalent fractions, converting decimals to fractions, and converting improper fractions to mixed numbers.     
• Fraction problems (Medium): These printable fraction worksheets for grade 5 enable the student to relate to real life conditions in which fractions are commonly observed. It also helps the student to strengthen their ability to quickly solve problems on fractions.
• Fraction problems (Hard): These online as well as printable free fraction worksheets for fifth grade help students to understand specific types of problems in which there are either two or more than two steps are part of the solution. This prepares students to create strategies to solve such problems. Such worksheets also help the student to improve their problem solving skills for future grades.    

Printable Interactive Worksheet PDFs:

These free printable fraction worksheets for 5th grade act as an excellent resource to boost skills related to solving problems on fractions, and to prepare students for school tests and other aptitude exams. The 5th grade fraction worksheets assist the student to comprehensively understand methods of solving problems, as the questions are descriptive and are supported with visuals in most cases. An important impact is the application of this understanding of fractions to real life. Attempting challenging questions that appear in higher grades is an added advantage. The math fraction worksheets for grade 5 cover addition and subtraction operations and the application of different types of methods to solve problems related to fractions. Interactive fifth grade fraction worksheets are supported by visuals, making learning interesting, in which students can test their knowledge on fractions by applying the most appropriate method to solve problems. Timed worksheets also help the student to enhance  time management skills, especially while solving particular types of questions. The student can also compare the scores and time taken for a worksheet with friends and challenge them as well.

How is the equivalent fraction of another fraction calculated?

An equivalent fraction is calculated by multiplying a specific number with both the numerator and the denominator of a given fraction. An infinite number of equivalent fractions of a fraction can be calculated. 5th Grade worksheets on fractions also contain multiple problems on equivalent fractions.

How are 5th grade fraction worksheets advantageous to students?

When students solve worksheets on their own, it promotes active learning as they feel a sense of accomplishment. It raises the curiosity level about fractions in relation to specific topics, and in turn, enables them to take up more challenging questions. In the fraction worksheets for grade 5 by BYJU’S Math, students also learn the method of applying step-wise solutions that further strengthens their understanding of operations related to fractions.

How can a student simplify fractions?

The numerator and denominator of a fraction may have common factors. Dividing the numerator and denominator with their common factors until no common factor except 1 exists, is called simplification of fractions.

Why are these interactive worksheets necessary for students?

These free online interactive grade 5 fraction worksheets link learning multiple concepts with a fun element. These worksheets follow the common core math structure and assist the student to be completely familiar with the methods and terms used in 5th grade.

What is done to convert mixed numbers into improper fractions?

A mixed number consists of two parts, one is a whole number and the other is a fraction. Multiplying the denominator of the fraction to the whole number and adding the product to the numerator of the fraction gives the numerator of the improper fraction. The denominator of the fraction remains the same as the denominator of the fraction part of the mixed number.

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Fraction word prob.

Fraction word problems

Here you will learn about fraction word problems, including solving math word problems within a real-world context involving adding fractions, subtracting fractions, multiplying fractions, and dividing fractions.

Students will first learn about fraction word problems as part of number and operations—fractions in 4 th grade.

What are fraction word problems?

Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation.

To solve a fraction word problem, you must understand the context of the word problem, what the unknown information is, and what operation is needed to solve it. Fraction word problems may require addition, subtraction, multiplication, or division of fractions.

After determining what operation is needed to solve the problem, you can apply the rules of adding, subtracting, multiplying, or dividing fractions to find the solution.

For example,

Natalie is baking 2 different batches of cookies. One batch needs \cfrac{3}{4} cup of sugar and the other batch needs \cfrac{2}{4} cup of sugar. How much sugar is needed to bake both batches of cookies?

You can follow these steps to solve the problem:

Step-by-step guide: Adding and subtracting fractions

Step-by-step guide: Adding fractions

Step-by-step guide: Subtracting fractions

Step-by-step guide: Multiplying and dividing fractions

Step-by-step guide: Multiplying fractions

Step-by-step guide: Dividing fractions

Common Core State Standards

How does this relate to 4 th grade math to 6 th grade math?

• Grade 4: Number and Operations—Fractions (4.NF.B.3d) Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
• Grade 4: Number and Operations—Fractions (4.NF.B.4c) Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat \cfrac{3}{8} of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
• Grade 5: Number and Operations—Fractions (5.NF.A.2) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result \cfrac{2}{5}+\cfrac{1}{2}=\cfrac{3}{7} by observing that \cfrac{3}{7}<\cfrac{1}{2} .
• Grade 5: Number and Operations—Fractions (5.NF.B.6) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
• Grade 5: Number and Operations—Fractions (5.NF.B.7c) Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share \cfrac{1}{2} \: lb of chocolate equally? How many \cfrac{1}{3} cup servings are in 2 cups of raisins?
• Grade 6: The Number System (6.NS.A.1) Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for \cfrac{2}{3} \div \cfrac{4}{5} and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that \cfrac{2}{3} \div \cfrac{4}{5}=\cfrac{8}{9} because \cfrac{3}{4} of \cfrac{8}{9} is \cfrac{2}{3}. (In general, \cfrac{a}{b} \div \cfrac{c}{d}=\cfrac{a d}{b c} \, ) How much chocolate will each person get if 3 people share \cfrac{1}{2} \: lb of chocolate equally? How many \cfrac{3}{4} cup servings are in \cfrac{2}{3} of a cup of yogurt? How wide is a rectangular strip of land with length \cfrac{3}{4} \: m and area \cfrac{1}{2} \: m^2?

[FREE] Fraction Operations Worksheet (Grade 4 to 6)

Use this quiz to check your grade 4 to 6 students’ understanding of fraction operations. 10+ questions with answers covering a range of 4th to 6th grade fraction operations topics to identify areas of strength and support!

How to solve fraction word problems

In order to solve fraction word problems:

Determine what operation is needed to solve.

Write an equation.

Solve the equation.

State your answer in a sentence.

Fraction word problem examples

Example 1: adding fractions (like denominators).

Julia ate \cfrac{3}{8} of a pizza and her brother ate \cfrac{2}{8} of the same pizza. How much of the pizza did they eat altogether?

The problem states how much pizza Julia ate and how much her brother ate. You need to find how much pizza Julia and her brother ate altogether , which means you need to add.

2 Write an equation.

3 Solve the equation.

To add fractions with like denominators, add the numerators and keep the denominators the same.

4 State your answer in a sentence.

The last step is to go back to the word problem and write a sentence to clearly say what the solution represents in the context of the problem.

Julia and her brother ate \cfrac{5}{8} of the pizza altogether.

Example 2: adding fractions (unlike denominators)

Tim ran \cfrac{5}{6} of a mile in the morning and \cfrac{1}{3} of a mile in the afternoon. How far did Tim run in total?

The problem states how far Tim ran in the morning and how far he ran in the afternoon. You need to find how far Tim ran in total , which means you need to add.

To add fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before adding.

\cfrac{5}{6}+\cfrac{1}{3}= \, ?

The least common multiple of 6 and 3 is 6, so 6 can be the common denominator.

That means \cfrac{1}{3} will need to be changed so that its denominator is 6. To do this, multiply the numerator and the denominator by 2.

\cfrac{1 \times 2}{3 \times 2}=\cfrac{2}{6}

Now you can add the fractions and simplify the answer.

\cfrac{5}{6}+\cfrac{2}{6}=\cfrac{7}{6}=1 \cfrac{1}{6}

Tim ran a total of 1 \cfrac{1}{6} miles.

Example 3: subtracting fractions (like denominators)

Pia walked \cfrac{4}{7} of a mile to the park and \cfrac{3}{7} of a mile back home. How much farther did she walk to the park than back home?

The problem states how far Pia walked to the park and how far she walked home. Since you need to find the difference ( how much farther ) between the two distances, you need to subtract.

To subtract fractions with like denominators, subtract the numerators and keep the denominators the same.

\cfrac{4}{7}-\cfrac{3}{7}=\cfrac{1}{7}

Pia walked \cfrac{1}{7} of a mile farther to the park than back home.

Example 4: subtracting fractions (unlike denominators)

Henry bought \cfrac{7}{8} pound of beef from the grocery store. He used \cfrac{1}{3} of a pound of beef to make a hamburger. How much of the beef does he have left?

The problem states how much beef Henry started with and how much he used. Since you need to find how much he has left , you need to subtract.

To subtract fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before subtracting.

\cfrac{7}{8}-\cfrac{1}{3}= \, ?

The least common multiple of 8 and 3 is 24, so 24 can be the common denominator.

That means both fractions will need to be changed so that their denominator is 24.

To do this, multiply the numerator and the denominator of each fraction by the same number so that it results in a denominator of 24. This will give you an equivalent fraction for each fraction in the problem.

\begin{aligned}&\cfrac{7 \times 3}{8 \times 3}=\cfrac{21}{24} \\\\ &\cfrac{1 \times 8}{3 \times 8}=\cfrac{8}{24} \end{aligned}

Now you can subtract the fractions.

\cfrac{21}{24}-\cfrac{8}{24}=\cfrac{13}{24}

Henry has \cfrac{13}{24} of a pound of beef left.

Example 5: multiplying fractions

Andre has \cfrac{3}{4} of a candy bar left. He gives \cfrac{1}{2} of the remaining bit of the candy bar to his sister. What fraction of the whole candy bar does Andre have left now?

It could be challenging to determine the operation needed for this problem; many students may automatically assume it is subtraction since you need to find how much of the candy bar is left.

However, since you know Andre started with a fraction of the candy bar and you need to find a fraction OF a fraction, you need to multiply.

The difference here is that Andre did NOT give his sister \cfrac{1}{2} of the candy bar, but he gave her \cfrac{1}{2} of \cfrac{3}{4} of a candy bar.

To solve the word problem, you can ask, “What is \cfrac{1}{2} of \cfrac{3}{4}? ” and set up the equation accordingly. Think of the multiplication sign as meaning “of.”

\cfrac{1}{2} \times \cfrac{3}{4}= \, ?

To multiply fractions, multiply the numerators and multiply the denominators.

\cfrac{1}{2} \times \cfrac{3}{4}=\cfrac{3}{8}

Andre gave \cfrac{1}{2} of \cfrac{3}{4} of a candy bar to his sister, which means he has \cfrac{1}{2} of \cfrac{3}{4} left. Therefore, Andre has \cfrac{3}{8} of the whole candy bar left.

Example 6: dividing fractions

Nia has \cfrac{7}{8} cup of trail mix. How many \cfrac{1}{4} cup servings can she make?

The problem states the total amount of trail mix Nia has and asks how many servings can be made from it.

To solve, you need to divide the total amount of trail mix (which is \cfrac{7}{8} cup) by the amount in each serving ( \cfrac{1}{4} cup) to find out how many servings she can make.

To divide fractions, multiply the dividend by the reciprocal of the divisor.

\begin{aligned}& \cfrac{7}{8} \div \cfrac{1}{4}= \, ? \\\\ & \downarrow \downarrow \downarrow \\\\ &\cfrac{7}{8} \times \cfrac{4}{1}=\cfrac{28}{8} \end{aligned}

You can simplify \cfrac{28}{8} to \cfrac{7}{2} and then 3 \cfrac{1}{2}.

Nia can make 3 \cfrac{1}{2} cup servings.

Teaching tips for fraction word problems

• Encourage students to look for key words to help determine the operation needed to solve the problem. For example, subtracting fractions word problems might ask students to find “how much is left” or “how much more” one fraction is than another.
• Provide students with an answer key to word problem worksheets to allow them to obtain immediate feedback on their solutions. Encourage students to attempt the problems independently first, then check their answers against the key to identify any mistakes and learn from them. This helps reinforce problem-solving skills and confidence.
• Be sure to incorporate real-world situations into your math lessons. Doing so allows students to better understand the relevance of fractions in everyday life.
• As students progress and build a strong foundational understanding of one-step fraction word problems, provide them with multi-step word problems that involve more than one operation to solve.
• Take note that students will not divide a fraction by a fraction as shown above until 6 th grade (middle school), but they will divide a unit fraction by a whole number and a whole number by a fraction in 5 th grade (elementary school), where the same mathematical rules apply to solving.
• There are many alternatives you can use in place of printable math worksheets to make practicing fraction word problems more engaging. Some examples are online math games and digital workbooks.

Easy mistakes to make

• Misinterpreting the problem Misreading or misunderstanding the word problem can lead to solving for the wrong quantity or using the wrong operation.
• Not finding common denominators When adding or subtracting fractions with unlike denominators, students may forget to find a common denominator, leading to an incorrect answer.
• Forgetting to simplify Unless a problem specifically says not to simplify, fractional answers should always be written in simplest form.

Related fractions operations lessons

• Fractions operations
• Multiplicative inverse
• Reciprocal math
• Fractions as divisions

Practice fraction word problem questions

1. Malia spent \cfrac{5}{6} of an hour studying for a math test. Then she spent \cfrac{1}{3} of an hour reading. How much longer did she spend studying for her math test than reading?

Malia spent \cfrac{1}{2} of an hour longer studying for her math test than reading.

Malia spent \cfrac{5}{18} of an hour longer studying for her math test than reading.

Malia spent \cfrac{1}{2} of an hour longer reading than studying for her math test.

Malia spent 1 \cfrac{1}{6} of an hour longer studying for her math test than reading.

To find the difference between the amount of time Malia spent studying for her math test than reading, you need to subtract. Since the fractions have unlike denominators, you need to find a common denominator first.

You can use 6 as the common denominator, so \cfrac{1}{3} becomes \cfrac{3}{6}. Then you can subtract.

\cfrac{3}{6} can then be simplified to \cfrac{1}{2}.

Finally, you need to choose the answer that correctly answers the question within the context of the situation. Therefore, the correct answer is “Malia spent \cfrac{1}{2} of an hour longer studying for her math test than reading.”

2. A square garden is \cfrac{3}{4} of a meter wide and \cfrac{8}{9} of a meter long. What is its area?

The area of the garden is 1\cfrac{23}{36} square meters.

The area of the garden is \cfrac{27}{32} square meters.

The area of the garden is \cfrac{2}{3} square meters.

The perimeter of the garden is \cfrac{2}{3} meters.

To find the area of a square, you multiply the length and width. So to solve, you multiply the fractional lengths by mulitplying the numerators and multiplying the denominators.

\cfrac{24}{36} can be simplified to \cfrac{2}{3}. 

Therefore, the correct answer is “The area of the garden is \cfrac{2}{3} square meters.”

3. Zoe ate \cfrac{3}{8} of a small cake. Liam ate \cfrac{1}{8} of the same cake. How much more of the cake did Zoe eat than Liam?

Zoe ate \cfrac{3}{64} more of the cake than Liam.

Zoe ate \cfrac{1}{4} more of the cake than Liam.

Zoe ate \cfrac{1}{8} more of the cake than Liam.

Liam ate \cfrac{1}{4} more of the cake than Zoe.

To find how much more cake Zoe ate than Liam, you subtract. Since the fractions have the same denominator, you subtract the numerators and keep the denominator the same.

\cfrac{2}{8} can be simplified to \cfrac{1}{4}. 

Therefore, the correct answer is “Zoe ate \cfrac{1}{4} more of the cake than Liam.”

4. Lila poured \cfrac{11}{12} cup of pineapple and \cfrac{2}{3} cup of mango juice in a bottle. How many cups of juice did she pour into the bottle altogether?

Lila poured 1 \cfrac{7}{12} cups of juice in the bottle altogether.

Lila poured \cfrac{1}{4} cups of juice in the bottle altogether.

Lila poured \cfrac{11}{18} cups of juice in the bottle altogether.

Lila poured 1 \cfrac{3}{8} cups of juice in the bottle altogether.

To find the total amount of juice that Lila poured into the bottle, you need to add. Since the fractions have unlike denominators, you need to find a common denominator first.

You can use 12 as the common denominator, so \cfrac{2}{3} becomes \cfrac{8}{12}.  Then you can add.

\cfrac{19}{12} can be simplified to 1 \cfrac{7}{12}. 

Therefore, the correct answer is “Lila poured 1 \cfrac{7}{12} cups of juice in the bottle altogether.”

5. Killian used \cfrac{9}{10} of a gallon of paint to paint his living room and \cfrac{7}{10} of a gallon to paint his bedroom. How much paint did Killian use in all?

Killian used \cfrac{2}{10} gallons of paint in all.

Killian used \cfrac{1}{5} gallons of paint in all.

Killian used \cfrac{63}{100} gallons of paint in all.

Killian used 1 \cfrac{3}{5} gallons of paint in all.

To find the total amount of paint Killian used, you add the amount he used for the living room and the amount he used for the kitchen. Since the fractions have the same denominator, you add the numerators and keep the denominators the same.

\cfrac{16}{10} can be simplified to 1 \cfrac{6}{10} and then further simplified to 1 \cfrac{3}{5}.

Therefore, the correct answer is “Killian used 1 \cfrac{3}{5} gallons of paint in all.”

6. Evan pours \cfrac{4}{5} of a liter of orange juice evenly among some cups.

He put \cfrac{1}{10} of a liter into each cup. How many cups did Evan fill?

Evan filled \cfrac{2}{25} cups.

Evan filled 8 cups.

Evan filled \cfrac{9}{10} cups.

Evan filled 7 cups.

To find the number of cups Evan filled, you need to divide the total amount of orange juice by the amount being poured into each cup. To divide fractions, you mulitply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).

\cfrac{40}{5} can be simplifed to 8.

Therefore, the correct answer is “Evan filled 8 cups.”

Fraction word problems FAQs

Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation. Fraction word problems may involve addition, subtraction, multiplication, or division of fractions.

To solve fraction word problems, first you need to determine the operation. Then you can write an equation and solve the equation based on the arithmetic rules for that operation.

Fraction word problems and decimal word problems are similar because they both involve solving math problems within real-world contexts. Both types of problems require understanding the problem, determining the operation needed to solve it (addition, subtraction, multiplication, division), and solving it based on the arithmetic rules for that operation.

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Fractions Worksheets for 5th Graders

5th grade fractions worksheets help children practice dividing shapes into equal parts, dividing or multiplying improper fractions and mixed numbers, etc. By using exciting and printable fraction worksheets, you can help your child practice the concept of fractions in a fun way.

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Fractions Using Models Worksheets

Choose the Correct Fraction Worksheet

This worksheet will help enhance your skills in identifying and selecting the correct fraction using various models.

Identify Mixed Numbers Represented by the Model Worksheet

Assess your math skills by identifying mixed numbers represented by the model in this worksheet.

Choose the Correct Fraction Model Worksheet

Improve your fractions skills with this worksheet on choosing correct fraction models.

Choose the Correct Mixed Number Worksheet

An engaging worksheet to practice identifying and matching mixed numbers with their correct models.

Fractions On A Number Line Worksheets

Identify Missing Improper Fractions on the Number Line Worksheet

A worksheet to master identification of missing improper fractions on a number line.

Identify Missing Fractions on the Number Line Worksheet

Boost your skills with this worksheet on identifying missing fractions on the number line!

Identify the Fractions Marked by the Given Letter on the Number Line Worksheet

Enhance your fraction identification skills with this worksheet on number line fractions.

Round Fractions to the Nearest Whole Number Worksheet

Print this worksheet to practice rounding fractions to the nearest whole number like a math legend!

Compare Fractions Worksheets

Check Fraction Comparison Using Models Worksheet

Enhance your fraction comparison skills with our visually engaging worksheet on visual models.

Compare Unlike Fractions using 1 as Benchmark Worksheet

Learn fractions at the speed of lightning by comparing unlike fractions using 1 as the benchmark.

Circle the Greater Fraction Worksheet

Boost fraction comparison skills with our worksheet using visual models for better understanding.

Compare Unit Fractions on the Number Line Worksheet

Boost fraction comparison skills with this worksheet using number lines for unit fractions.

Order Fractions Worksheets

Check Fraction Order Using Models Worksheet

Enhance your skills in ordering fractions with this interactive worksheet using visual models.

Enter the Correct Symbol Worksheet

Boost your fraction ordering skills with this 'Ordering Fractions' worksheet using visual models.

Circle the Smallest Fraction Worksheet

A worksheet to enhance skills in ordering fractions using visual models by identifying the smallest one.

Circle the Greatest Fraction Worksheet

This worksheet provides exercises on identifying the greatest fraction using visual models.

Equivalent Fractions Worksheets

Choose Equivalent Fraction Models Worksheet

Enhance your skills with our worksheet on identifying equivalent fractions using visual models.

Find Equivalent Fractions using Number Line Worksheet

Improve your fraction skills with this worksheet on finding equivalent fractions using number lines.

Find Equivalent Fractions and Plot Worksheet

Boost your fraction skills with this worksheet, teaching how to find and plot equivalent fractions.

Create Equivalent Fractions by Decomposing Worksheet

Solidify your math skills by practicing to create equivalent fractions by decomposing.

Improper Fractions As Mixed Numbers Worksheets

Use Models to Convert Fractions to Mixed Numbers Worksheet

Make math practice a joyride by using models to convert fractions into mixed numbers.

Converting Fractions to Mixed Numbers Using Models Worksheet

Dive into this printable worksheet by converting fractions into mixed numbers using models.

Complete the Number Bonds Worksheet

Focus on core math skills with this fun worksheet by solving to complete the number bonds.

Number Bonds and Fractions Greater than 1 Worksheet

Learners must practice number bonds and fractions greater than 1 to enhance their math skills.

Fractions Operations Worksheets

Add Mixed Numbers Without Models Worksheet

Put your skills to the test by practicing to add mixed numbers without models.

Subtract Mixed Numbers Without Models Worksheet

Assess your math skills by subtracting mixed numbers without models in this worksheet.

Add Like Fractions using Area Models Worksheet

Reinforce math concepts by practicing to add like fractions using area models.

Subtract Fractions from 1 Worksheet

Solidify your math skills by practicing to subtract fractions from 1.

All Fractions Worksheets

Compare Unlike Fractions Worksheet

Reinforce math concepts by practicing to compare unlike fractions.

Check the Fraction Order Worksheet

This worksheet will test your ability to correctly order fractions without the aid of visual models.

Create Equivalent Fractions using Division Worksheet

Reveal the secrets of math wizardry by practicing to create equivalent fractions using division.

Convert Mixed Numbers Using Models Worksheet

Use this printable worksheet to convert mixed numbers using models to strengthen your math skills.

Fraction Multi-Step Word Problems Worksheet

This downloadable worksheet is designed to practice multi-step word problems on fractions.

Compare Fractions by Finding Common Denominator Worksheet

Become a mathematician by practicing to compare fractions by finding common denominator.

Missing Denominator to Order Fractions Worksheet

This worksheet focuses on finding the missing denominator to properly order fractions.

Equivalent Fractions by Multiplying or Dividing Worksheet

Reinforce math concepts by practicing equivalent fractions by multiplying or dividing.

Convert Mixed Numbers Using Area Models Worksheet

Use this printable worksheet to convert mixed numbers using area models.

Multi-Step Word Problems on Fractions Worksheet

Be on your way to become a mathematician by solving multi-step word problems on fractions.

Find Common Denominator & Compare Unlike Fractions Worksheet

Make math practice a joyride by solving to find common denominator & compare unlike fractions.

Missing Numerator to Order Fractions Worksheet

Enhance your fraction ordering skills with this worksheet on finding missing numerators!

Multiply or Divide to Create Equivalent Fractions Worksheet

In this worksheet, learners will have to multiply or divide to create equivalent fractions.

Convert Mixed Numbers Worksheet

Use this printable worksheet to convert mixed numbers to strengthen your math skills.

Multiplication of Fractions as Repeated Addition Worksheet

Become a mathematician by practicing multiplication of fractions as repeated addition.

Compare Fraction Products Worksheet

Make math practice a joyride by solving problems to compare fraction products.

Order Fractions Using Symbols Worksheet

This worksheet provides exercises on ordering fractions using symbols without the help of visual aids.

Misconceptions around Equivalent Fractions Worksheet

Learn all about fractions by practicing misconceptions around equivalent fractions.

Find Way by Converting Mixed Numbers into Fractions Worksheet

Boost math skills with this worksheet on transforming mixed numbers into fractions.

Fraction Multiplication as Sum of Unit Fractions Worksheet

Print this worksheet to practice fraction multiplication as the sum of unit fractions.

Choose the Fraction of Objects Worksheet

An engaging worksheet on identifying fractions using real-world objects for better understanding.

Mark the Fractions on an Open Number Line Worksheet

This worksheet tests your ability to accurately place fractions on an open number line.

Add Unlike Fractions and Compare Worksheet

This worksheet provides exercises on adding fractions with different denominators and comparing the results.

Rewrite and Order Worksheet

This worksheet helps students refine their skills in rewriting and arranging fractions without the use of visual aids.

Misconceptions on Equivalent Fractions Worksheet

Print this worksheet to practice misconceptions on equivalent fractions like a math legend!

Decompose Fractions to Mixed Numbers Worksheet

In this worksheet, learners will get to decompose fractions to mixed numbers.

Convert and Match Mixed Numbers Worksheet

Improve your understanding of fractions with this engaging worksheet on converting mixed numbers.

Estimate the Sum Using Models Worksheet

Put your skills to the test by practicing to estimate the sum using models.

Choose the Mixed Number Model Worksheet

Master the representation of mixed numbers using models with this engaging worksheet!

Mark the Fractions on the Number Line Worksheet

This worksheet will help students learn to accurately mark fractions on a number line.

The Missing Number in the Benchmark Worksheet

Boost your skills in benchmark fractions with our engaging worksheet on finding the missing number.

The Greatest Like Fraction Worksheet

This worksheet helps students master the skill of ordering like fractions without the use of visual models.

Misconceptions Statements on Equivalent Fractions Worksheet

Reinforce math concepts by practicing the misconception statements on equivalent fractions.

Improper Fractions to Mixed Numbers Worksheet

Enhance your skills with our worksheet on transforming improper fractions into mixed numbers.

Convert Mixed Number into Fraction Worksheet

Master the art of turning mixed numbers into fractions with this engaging worksheet!

Estimating the Sum Using Models Worksheet

Combine math learning with adventure by estimating the sum using models.

Mathematics: A Medley of Numbers

Mathematics is one of the best ways to help children engage in logical reasoning, thereby helping them deal with day-to-day problems efficiently. We all inhabit a mathematically driven world, and learning mathematical concepts properly can make a notable difference.

You can make fractions simple for your 5th grader by making the educational process interactive. Worksheets are a reliable way to gain a thorough knowledge of fractions and their various types. Worksheets are carefully constructed to encourage an in-depth understanding of fractions.

Online Fractions Worksheets

When we talk about fractions for students in 5th grade, the child must be acquainted with the basic concept. Teaching them once about the topic is not enough; as a parent or a guide, you need to keep making them practice fractions from time to time. Thus, downloadable fraction worksheets for 5th graders are a great help when it comes to mastering the concept.

Create Equivalent Fractions using Area Model: Boost your child’s fraction skills by making them solve this worksheet. This worksheet involves solving problems on equivalent fractions by applying the area model as visual assistance.

Create Equivalent Fractions by Decomposing: Helping your child build a strong foundation in fractions is an essential step to make them proficient and confident. This worksheet involves applying concepts of equivalent fractions to find the answer. Everyday practice will help your child gain confidence in the classroom.

Create Equivalent Fractions using Multiplication: This is a challenging worksheet that involves making equivalent fractions using multiplication. A set of problems are provided, and the student needs to find equivalent fractions using multiplication.

Introducing Fractions to 5th Graders

Simply teaching kids that a fraction is a part of a whole number isn’t going to help a lot. A great way to introduce this concept is to give practical examples while explaining fractions. For example: Ask your kid to divide a chocolate bar to understand how fractions work.

In fractions, the pieces are generally the same size, divided into equal parts. The fractions inform us how many pieces of chocolate we have out of all the pieces in the whole chocolate bar. The denominator represents the total equal parts we have, and the numerator represents how many parts we give out. If the chocolate bar has a total of 8 pieces, and you give out 2, then our fraction would be 2/8.

As many teachers know, learning the concept of fractions is not tough. Instead, the various operations like subtraction, division, simplification, etc., make it complicated. SplashLearn provides printable worksheets for topics covering multiplication, estimating products, addition, etc. After practicing through these online worksheets, your child will apply mathematical concepts easily to everyday problems.

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• What is fraction? A fraction is a numerical quantity that is not a whole number. For example, ½ is a fraction of 1 as numerator and 2 as a denominator

Fractions having the same denominator are called like fractions. For example, ½,3/2, 5/2, 7/2, are all like fractions.

• Fractions having different denominators are called, unlike fractions. For example, ½, 2/3, ¾, 4/5, are all unlike fractions
• A fraction whose numerator is less than the denominator is called proper fraction. For example, 8/9, 7/8, 6/7, 5/6 are all proper fractions.
• A fraction whose numerator is greater than the denominator is called improper fraction. For example, 3/2, 4/3, 5/4, 6/5 are all improper fractions.

EXAMPLE 1: Find the fraction of shaded and unshaded part.

EXAMPLE 2: Find the fraction of red balls, green balls and blue balls.

SOLUTION: Total number of balls= 10 Number of red balls= 4

Fraction of red balls= 4/10= 2/5

Fraction of green balls= 5/10= ½

Fraction of blue balls= 1/10

Fraction as a division

• Any fraction can be expressed as a division by writing its numerator as dividend and denominator as divisor

Numerator/Denominator

= Dividend ÷ Divisor

=Dividend/Divisor

EXAMPLE 1: Write 1÷2 as a fraction.

SOLUTION: ½

EXAMPLE 2: Write 2/3 as division.

SOLUTION: 2÷3

To convert a mixed no. into an improper fraction & vice versa

• To convert a mixed number into an improper fraction multiply the quotient with the divisor and add the product with remainder in the numerator. The denominator will contain the divisor.

• To convert an improper fraction into a mixed number, divide the numerator of the fraction by the denominator. Write the quotient as the whole number. The remainder in the numerator and the divisor in the denominator.

Finding and checking equivalent fraction

• To find the equivalent fraction to a given fraction, divide or multiply the numerator or denominator by the same number. (other than zero)

• To check for equivalent fractions, we need two equivalent fraction.

SOLUTION: 2x4=8 3X3=9 8≠9

Hence, the fractions are not equal.

To find a fraction in its lowest term

• A fraction is in its lowest term when the numerator and the denominator don’t have a common factor, except 1.
• There are two methods of finding a fraction in its lowest term. They are: Method 1: Divide the numerator and denominator with their common factor till we are left with only the common factor 1

Method 2: Divide the numerator and denominator of the given fraction with their HCF.

To find the fraction of a number or quantity

• Divide the number by the denominator. Then, multiply the quotient so obtained by the numerator.

EXAMPLE 1: A group has 120 children. 4/5 of them are girls. Find the number of boys.

No. of boys= (120-96) = 24

EXAMPLE 2: Find 1/4 of a year in months.

SOLUTION: A year has 12 months. ¼ X 12 = 3 months [ANS]

To compare unlike fractions

• First find the LCM of the denominators of the given fractions.
• Then convert the unlike fractions into equivalent like fraction with LCM as their common denominator.
• Compare the like fractions.

Convert mixed fractions into improper fractions to compare them.

To add/subtract unlike fractions

• Find the LCM of the denominator of unlike fraction.
• Then convert the unlike fraction into equivalent like fraction with LCM as common denominator.
• Add/subtract the like fraction so obtained.

EXAMPLE 1: Add/subtract ½ and/from 1/6.

SOLUTION: LCM of 2 and 6 is = 2x3=6 2| 2,6 1,3

Reciprocal of a fractional number

• When the product of two fraction is 1, we say that each of the fraction is the reciprocal or multiplicative inverse of the other.

Division of fractions

• Division is repeated subtraction.
• Division by a fraction is same as multiplication by its reciprocal. 0 has no reciprocal. The reciprocal of 1 is 1. 0 divided by any non-zero number = 0

Practice these questions

• LCM of denominators is to be found only while performing addition or subtraction of unlike fractions.
• While multiplying fractions we can change their order, but the product remains the same. (commutative property)
• If a fraction is multiplied by 0, the product is always zero.
• If a fraction is multiplied by 1, the product is the same fraction.
• A fraction is in the lowest term when the only common factor between the numerator and the denominator is 1
• If any of the fraction is a mixed number or a whole number, change it to an improper function and then multiply.

Quiz for Fractions

Your Score: 0 /10

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Real-life problems, working with fractions

Common Core Standards: Grade 5 Number & Operations: Fractions

CCSS.Math.Content.5.NF.B.6

This worksheet originally published in Math Made Easy for 5th Grade by © Dorling Kindersley Limited .

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Our grade 5 math worksheets cover the 4 operations, fractions and decimals at a greater level of difficulty than previous grades. We also introduce variables and expressions into our word problem worksheets .  

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CHALLENGE ZONE 5th Grade Math Problems

Welcome to our 5th Grade Math Problems. Here you will find our range of challenging math problem worksheets which are designed to give children the opportunity to apply their skills and knowledge to solve a range of longer problems.

These problems are also a great way of developing perseverance and getting children to try different approaches in their math.

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5th Grade Math Problems

Here you will find a range of problem solving worksheets.

The 5th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them.

The skills the problems will help to develop include:

• systematic working
• logical thinking
• number fact knowledge
• fraction problems
• trial and improvement strategies
• working backwards
• working systematically
• searching for all possible answers.

At fifth grade, the problems are more advanced with children needing to become more systematic in their approach and experimenting using trial and improvement strategies.

Many of the problems have addition 'What if ...' questions with them to extend learning and get children looking for alternative solutions.

These sheets are great for extending learning for more able mathematicians, or using in a whole class problem solving lesson.

• 5th Grade Math Word Problems
• Bertie's Big Win

Bertie's Big Win is a problem involving both money and fractions which can be worked backwards. The aim of the problem is to work out how much money Bertie started with from the clue that are given.

• PDF version
• Fox vs Rabbit #2

Fox vs Rabbit is an activity involving mathematical modelling of a fox chasing a rabbit. The rabbit has a head-start, but the fox is faster. The aim is to find out when the fox will catch the rabbit, and whether or not the rabbit has time to reach his burrow.

• 1..2..3..4.. Challenge

The 1..2..3..4.. Challengs is a number problem involving using the numbers 1, 2, 3 and 4 along with arithmetic operators to make the numbers from 1 to 20. It is great for practicing PEMDAS and getting children to persevere and develop their mental arithmetic skills.

There are 2 versions of the problem sheet, one with a pre-prepared template for filling in, and a second blank version for children to show their own recording system.

• Blank version
• Frazer's Wall #2

Frazer's Wall #2 is a fraction problem solving activity which involves trying to work out the number of bricks that were laid in each day to find out how long it would take to make a wall. This problem is best solved by using a table or working it out one day at a time.

• Millenary Math

Millenary Math is a time problem involving what the time will be in a thousand years/weeks/hours/minutes, etc. It is a good activity for converting units of time and knowing facts like how many days are in each month. There is no answer sheet, as the activity involves using the current time.

• Sally's Fruit Punch #3

Sally's Fruit Punch is a money and scaling activity. The aim is to use the information to work out how much ingredients are needed. The ingredients then need to be priced to work out a total cost.

• Sally's Fruit Punch #3 UK Version
• Share the Treasure #5

Share the Treasure is a fraction sharing activity where the aim is to work backwards to find out how many bars of treasure the pirates had before they shared them all out. It is a good activity for developing fraction problem solving and working backwards.

• Something Fishy #2

Something Fishy is a money problem which involves working out exactly how many of each fish were bought in order to have spent a fixed amount of money on the fish. It is a good activity for using lists and tables to find all possibilities. It is also great for perseverance!

• Something Fishy #2 UK Version
• The Five Primes

The Five Primes is a number activity involving finding five primes with different totals. It is a good activity for learning prime numbers up to 30, and also for working systematically.

• The Rock Race #3

The Rock Race is a 5th grade math problem which needs some perseverance to complete. The aim of the activity is to try different routes around the 6 rocks to determine which route is the shortest.

• Who Chose Which?

Who Chose Which is a logical number activity where you need to use the clues to work out which numbers each of the salamanders chose.

• Birthday Bonanza

Birthday Bonanza is a logic problem which requires logical thinking to work out who got which present and how old each of them was.

• Number Totals Investigation

Number Totals Investigation is a PEMDAS number task which involves using 3 digits and operations to make the largest or smallest possible total.

Looking for some easier math problems?

We have a range of easier word problems on our 4th grade math problems page.

The problems on this page are at a simpler level than those here.

Many of the problems, e.g. Share the Treasure, The Rock Race, Something Fishy have easier versions on this page.

• 4th Grade Math Problems

Looking for some more fifth grade math word problems?

Here you will find our selection of free 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

All the worksheets help to support Elementary math benchmarks.

• 5th Grade Math Puzzles

Here you will find a range of printable 5th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition facts, including decimals;
• practice their subtraction facts, including decimals;
• practice and apply multiplication and division facts;
• develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 5th grade.

Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

All the free 5th Grade Math Worksheets in this section follow the Elementary Math Benchmarks for Grade 5.

• Math Games 5th Grade

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Unit 6: Multiply fractions

About this unit.

Why have just one way to multiply fractions when you can have four? Learn how to use number lines, the fraction model, the area model, and word problems to multiply fractions like a pro.

Multiplication as scaling

• Multiplication as scaling with fractions (Opens a modal)
• Fraction multiplication as scaling examples (Opens a modal)
• Fraction multiplication as scaling Get 5 of 7 questions to level up!

Multiplying fractions and whole numbers

• Multiplying fractions by whole numbers on a number line (Opens a modal)
• Multiplying unit fractions and whole numbers (Opens a modal)
• Multiplying fractions and whole numbers visually (Opens a modal)
• Multiplying fractions and whole numbers (Opens a modal)
• Multiply fractions and whole numbers visually Get 5 of 7 questions to level up!
• Multiply fractions and whole numbers Get 5 of 7 questions to level up!

Multiplying fractions

• Multiplying 2 fractions: fraction model (Opens a modal)
• Multiplying 2 fractions: number line (Opens a modal)
• Multiplying 2 fractions: 5/6 x 2/3 (Opens a modal)
• Represent fraction multiplication with visuals Get 3 of 4 questions to level up!
• Multiplying fractions with visuals Get 3 of 4 questions to level up!
• Multiplying fractions Get 5 of 7 questions to level up!

Multiplying mixed numbers

• Multiplying mixed numbers (Opens a modal)
• Multiply mixed numbers Get 3 of 4 questions to level up!

Area of rectangles with fraction side lengths

• Finding area with fractional sides 1 (Opens a modal)
• Finding area with fractional sides 2 (Opens a modal)
• Area of rectangles with fraction side lengths Get 3 of 4 questions to level up!

Multiplying fractions word problems

• Multiplying fractions word problem: muffins (Opens a modal)
• Multiplying fractions word problem: laundry (Opens a modal)
• Multiplying fractions word problem: bike (Opens a modal)
• Multiply fractions: FAQ (Opens a modal)
• Multiply fractions word problems Get 3 of 4 questions to level up!

Maths Problems with Answers for Grade 5

Grade 5 maths problems with answers are presented. Also Solutions and explanations are included.

• Three toy cars and 4 toy trains cost $18. Two toy cars and 3 toy trains cost $13. What is the price of one toy car and the price of one toy train if both prices are whole numbers of Dollars? (Hint: Use a table) Solution
• 450 chocolate bars
• 4 hours and 30 minutes
• 11,800 TV sets
• Tom: 22 , Bob: 27
• same time , 12 minutes
• Jim: 5 years , Carla: 10 years , Tomy: 16 years
• 10,080 minutes
• 700 meters squared
• 114 centimeters squared
• one toy car costs $2 and 1 toy train costs $3.

More References and links

Primary Maths (grades 4 and 5) with Free Questions and Problems With Answers Middle School Maths (grades 6,7,8 and 9) with Free Questions and Problems With Answers High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers