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Multiplying and Dividing Fractions - Printable Mathematics Worksheets grade 5 - Wayground

Multiplying and Dividing Fractions

13 questions

5th - 5th Grade

Mathematics

Multiplying and Dividing Fractions is a Grade 5 mathematics worksheet that helps students apply fraction operations in visual models, numerical comparisons, and real-world situations. Students work with multiplication and division involving whole numbers, fractions, and mixed numbers, including equal-sharing problems, finding fractional amounts, and interpreting quantities greater than or less than a whole. The worksheet includes 13 questions: 8 multiple-choice, 3 open-ended, 1 fill-in-the-blank, and 1 multiple-select item. Students must explain their reasoning on problems such as sharing candy bars, finding servings from a fractional amount, and calculating repeated fractional quantities. Multiple-choice and multiple-select questions also require students to use benchmarks and equations to evaluate products and determine whether answers make sense. This free printable worksheet is designed for Grade 5 math practice, independent work, review, or assessment, and it includes a complete answer key for checking student solutions.

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Multiplying and Dividing Fractions

Total questions: 13

Name
Class
Date
1.

Use the model to answer the following question. What multiplication equation could represent the model shown?

a)

3 x 1/3 = 1/9

b)

3 x 1/3 = 1/3

c)

3 x 1/3 = 3/3

d)

3 x 1/3 = 9/3

2.

Allie has 3 candy bars and wants to split them among his four friends. If each person gets the same amount, what part of the candy bar will each friend get? Show your work.

4 lines
3.

The football coach purchased 10 pizzas for the end of the season party. Altogether, the football team ate 4/5 of the pizzas. How many pizzas did the football team eat?

(a)  

4.

Alex and Jamie each ran laps around the track. Alex completed his run in 16 minutes. Jamie completed his run in 3/4 of the amount of time of Alex's run. What was Jamie's time?

a)

8 minutes

b)

12 minutes

c)

15 1/4 minutes

d)

16 3/4 minutes

5.

Which of the following products are less than 975? Select ALL that apply.

a)

975 x 2/4

b)

975 x 5/4

c)

975 x 5/5

d)

975 x 9/8

e)

975 x 13/19

6.

Lily and Jackson were selling rolls of wrapping paper. Each box held 18 rolls of wrapping paper. Lily sold 5/6 of one box. Jackson sold 1 1/6 boxes. Which sentence best explains the total number of boxes of gift-wrapping paper each one sold?

a)

Lily sold less than 18 rolls of wrapping paper because 18 x 5/6 is less than 18, and Jackson sold less than 18 rolls of wrapping paper because 18 x 1 1/6 is less than 18.

b)

Lily sold more than 18 rolls of wrapping paper because 18 x 5/6 is greater than 18, and Jackson sold less than 18 rolls of wrapping paper because 18 x 1 1/6 is less than 18.

c)

Lily sold less than 18 rolls of wrapping paper because 18 x 5/6 is less than 18, and Jackson sold more than 18 rolls of wrapping paper because 18 x 1 1/6 is greater than 18.

d)

Lily sold more than 18 rolls of wrapping paper because 18 x 5/6 is greater than 18, and Jackson sold more than 18 rolls of wrapping paper because 18 x 1 1/6 is greater than 18.

7.

Rebecca is making hot chocolate for her friends. She has six cups of hot chocolate powder and will need 1/5 cup of powder for each serving. How many servings will Rebecca be able to make? Show your work.

4 lines
8.

There is 1/2 of a cake left. Four friends are going to share the rest of the cake equally. How much of the cake will each friend get?

a)

1/8 cake

b)

1/6 cake

c)

1/4 cake

d)

8 cake

9.

Garrett practices playing the drums for 1/4 hours each day for 4 days a week. How long does Garrett play the drums a week? Justify your thinking.

4 lines
10.

Layla and her 4 friends are putting together a scrapbook. Layla's mom purchased ribbon that was 19 feet long. If each person gets an equal length of ribbon, how long will each piece be?

a)

4/19 feet

b)

5/19 feet

c)

3 4/5 feet

d)

3 3/4 feet

11.

Sarah and Tom are painting a fence. Sarah can paint the fence in 12 hours. Tom can paint the same fence in 3/4 of the time it takes Sarah. How long does it take Tom to paint the fence?

a)

6 hours

b)

9 hours

c)

10 hours

d)

12 hours

12.

A pizza is cut into 8 equal slices. If 3 friends share 1/2 of the pizza equally, how many slices does each friend get?

a)

1 slice

b)

2 slices

c)

3 slices

d)

4 slices

13.

Mike and his 3 friends are sharing a 24-foot long rope equally. How long will each piece of rope be?

a)

6 feet

b)

24 feet

c)

8 feet

d)

12 feet

Answer Key

Multiplying and Dividing Fractions

Total questions: 13

1.
b)

3 x 1/3 = 1/3

2.
n/a
3.
8
4.
b)

12 minutes

5.
a)

975 x 2/4

, e)

975 x 13/19

6.
c)

Lily sold less than 18 rolls of wrapping paper because 18 x 5/6 is less than 18, and Jackson sold more than 18 rolls of wrapping paper because 18 x 1 1/6 is greater than 18.

7.
n/a
8.
c)

1/4 cake

9.
n/a
10.
d)

3 3/4 feet

11.
b)

9 hours

12.
b)

2 slices

13.
c)

8 feet

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FAQs

What does the Multiplying and Dividing Fractions worksheet help Grade 5 students learn?

This worksheet develops students’ ability to multiply and divide whole numbers by fractions and mixed numbers in 13 varied items. Students interpret a visual multiplication model, solve equal-sharing and fractional-amount word problems, compare products with 975, and justify open-ended solutions. The combination of multiple-choice, multiple-select, fill-in-the-blank, and written-response questions checks both computation and understanding of what each operation represents.

How can I use this worksheet to teach multiplying and dividing fractions?

Begin by modeling the first visual equation and connecting it to repeated groups of one-third. Then have students solve the sharing problems with diagrams or equations before moving to contexts involving fractional amounts, such as finding four-fifths of 10 pizzas or the number of servings in six cups divided into one-fifth-cup portions. Use the wrapping-paper and product-comparison items to discuss why multiplying by a fraction less than 1 reduces a quantity, while multiplying by a mixed number greater than 1 increases it.

What mistakes should I watch for on this fraction multiplication and division worksheet?

Watch for students interpreting three groups of one-third as one-ninth instead of one whole, or treating division in equal-sharing problems as multiplication without identifying the number of shares. Students may also overlook that 1 1/6 is greater than 1, select products that are not less than 975, or confuse the number of friends with the total number of people sharing. In open-ended items, check that students show an equation and preserve the units, such as servings, pizzas, hours, or feet.

How do I assign and grade this Multiplying and Dividing Fractions worksheet?

On Wayground, you can assign this worksheet as a printable PDF or use it as a digital quiz. It includes a complete answer key for the multiple-choice, multiple-select, fill-in-the-blank, and open-ended items; printable submissions can also be graded by scanning student work with the Wayground for Teachers app. The printable version can support classrooms that want to reduce screen time while students solve the fraction problems on paper.

How can I differentiate this fraction worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the fraction equations, answer choices, and word problems are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language. These options modify the worksheet file while preserving its mix of visual, selected-response, fill-in, and written-response fraction items.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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