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Fraction Divided by Fraction Word Problem - Printable Mathematics Worksheets - Wayground

Fraction Divided by Fraction Word Problem

13 questions

6th Grade

Mathematics

This Grade 6 mathematics worksheet builds fluency with dividing fractions by fractions in real-world situations. Students interpret quantities such as 5/6 divided by 1/6, choose the expression that represents a sharing or measurement situation, calculate fractional quotients, and simplify answers to lowest terms. Contexts include string, food servings, recipes, cookie batches, sandwich portions, sales, and songs, helping students connect fraction division to meaningful quantities and units. The worksheet contains 13 questions: 12 multiple-choice items and 1 fill-in-the-blank item. It is designed for guided practice, independent work, or a quick assessment of whether students can select the correct operation, solve fraction-based word problems, and judge whether a quotient answers the question. This free printable worksheet includes a complete answer key for efficient review and grading.

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Fraction Divided by Fraction Word Problem

Total questions: 13

Name
Class
Date
1.
Question Image
a)

10

b)

12

c)

14

d)

16

2.
Question Image
a)

8

b)

8 3/4

c)

11

d)

12

3.
Question Image
a)

1 1/4

b)

2 1/4

c)

4 1/2

d)

5 1/2

4.
Question Image



(a)  

5.

Which story problem could be used with the equation 5/6 ÷ 1/6 = 5

a)

Jill has 5/6 of a yard of string. She is making bracelets that are 1/6 of a yard long. How many bracelets can Jill make?

b)

Rick has 5/6 of his homework done. If he completes another 1/6 of his homework, how much homework has he completed?

c)

Melanie rode her bike 5/6 of a mile. Then, she turned around and rode back 1/6 of a mile. How many miles does Melanie have left to ride back to where she started?

d)

A recipe calls for 5/6 of a cup of flour. How much flour would be needed to make 1/6 of the recipe?

6.

Sergio has 15/4 cups of frozen yogurt. Does Sergio have enough frozen yogurt for each of his 8 friends to get 1/2 of a cup serving?

a)

Yes, 15/4 ÷ 2 = 15; he has enough for 8 friends to get 1/2 of a cup serving.

b)

Yes, 15/4 ÷ 1/2 = 15; he has enough for 8 friends to get 1/2 of a cup serving.

c)

No, 15/4 ÷ 2 = 15/2; he does not have enough for 8 friends to get 1/2 of a cup serving.

d)

No, 15/4 ÷ 1/2 = 15/2; he does not have enough for 8 friends to get 1/2 of a cup serving.

7.

Select the correct expression: 
Katherine has 6 cups of sugar. Each batch of cookies needs 3/4 cups of sugar. How many batches of cookies can Katherine make? 

a)

6 x 3/4

b)

6 ÷ 3/4

c)

3/4 ÷ 6

d)

3/4 x 6

8.
What is the quotient of these fractions in lowest terms?

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

9.
Question Image
a)

3

b)

4

c)

5

d)

6

10.
Question Image
a)

5/16

b)

20

c)

1/20

d)

3 1/5

11.

SUBWAY sells sandwiches that are one-fifth of a foot long. If you were to cut the sandwich into 3 equal pieces, what fraction of a foot would each piece be?

a)

1/15

b)

1/5

c)

15

d)

5

12.

A store had 3 and one-fifth boxes of video games. How many days would it take to sell the games if each day they sold one-fifth of a box?

a)

15

b)

16/5

c)

1/5

d)

16

13.

Tim has 32 songs on his ipod. Three-eighths of those songs are by Bob Marley.  How many Bob Marley songs does Tim have on his ipod?

a)

12 songs

b)

15 songs

c)

9 songs

d)

18 songs

WaygroundAnswer Key

Fraction Divided by Fraction Word Problem

Total questions: 13

1.
c)

14

2.
c)

11

3.
c)

4 1/2

4.
14
5.
a)

Jill has 5/6 of a yard of string. She is making bracelets that are 1/6 of a yard long. How many bracelets can Jill make?

6.
d)

No, 15/4 ÷ 1/2 = 15/2; he does not have enough for 8 friends to get 1/2 of a cup serving.

7.
b)

6 ÷ 3/4

8.
c)

3/5

9.
b)

4

10.
b)

20

11.
a)

1/15

12.
d)

16

13.
a)

12 songs

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FAQs

What does this worksheet cover?

This Grade 6 worksheet focuses on solving word problems that involve dividing fractions by fractions, such as determining how many 1/6-yard bracelets can be made from 5/6 yard of string. Its 12 multiple-choice questions and 1 fill-in-the-blank item ask students to identify the correct division expression, calculate quotients, simplify fractions to lowest terms, and interpret answers in context.

How can I use this worksheet to teach dividing fractions in word problems?

Begin by having students identify the total amount and the size of each group or portion in contexts such as cookie batches, servings, and sandwich pieces. Before calculating, ask students to explain why the situation calls for division and to select the matching expression, such as 6 ÷ 3/4. Then use the answer choices to discuss whether the quotient is reasonable and whether it answers the question with the correct unit.

What mistakes should I watch for when students complete this fraction-division worksheet?

Students may divide by the denominator alone instead of dividing by the entire fraction, as in treating 1/2 as 2, or choose multiplication when a measurement situation requires division. They may also select a story that does not match the given equation, fail to simplify a quotient such as 6/10 to 3/5, or report a numerical answer without checking what it represents in the context.

How do I assign and grade this fraction word-problem worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can use the same fraction-division practice for paper-based or online work. It includes a complete answer key for the 12 multiple-choice questions and 1 fill-in-the-blank item. For printable submissions, you can scan student work with the Wayground for Teachers app to help grade responses efficiently.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the fraction word problems, answer choices, and fill-in-the-blank response easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options better support students working through the fraction-division contexts.

Where can I find more worksheets like this on Wayground?

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

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