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Multiplication and Division of Fraction - Printable Mathematics Worksheets - Wayground

Multiplication and Division of Fraction

20 questions

6th - 6th Grade

Mathematics

Multiplication and Division of Fraction is a Grade 6 mathematics worksheet that builds fluency with fraction operations. Students convert mixed numbers to improper fractions, identify reciprocals, multiply and divide fractions, simplify results, and solve equations involving whole numbers and fractions. The 20-question set includes 19 multiple-choice questions and one multiple-select question, combining computation with practical problems about cupcakes, relay races, candy bars, cakes, and birdseed. This free printable worksheet with an answer key helps teachers check whether students can choose the correct operation, represent a situation with a number sentence, and interpret a fractional quotient in context. It is useful for guided practice, independent work, review, or a quick assessment after instruction on multiplying and dividing fractions. The varied question formats give students repeated practice moving between fraction calculations and real-world applications.

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Multiplication and Division of Fraction

Total questions: 20

Name
Class
Date
1.

 Convert  2232\frac{2}{3}  to improper fraction

a)

21/6

b)

2 2/6

c)

 83\frac{8}{3}  

d)

7/2

2.
What is the recriprocal of 5
a)
5/1
b)
1/5
3.

 310×23\frac{3}{10}\times\frac{2}{3}  

a)

1/5

b)

5/13

c)

6/13

d)

5/30

4.

Simplify  2124\frac{21}{24}  

a)

7/8

b)

5/13

c)

6/13

d)

5/30

5.

 24×12\frac{2}{4}\times\frac{1}{2}  

a)

3/6

b)

3/8

c)

1/4

d)

2/6

6.

A baker has 24 cupcakes.
 14\frac{1}{4}  of them are chocolate.The rest are strawberry.How many are strawberry?

a)

6

b)

8

c)

12

d)

18

7.

Solve 2×672\times\frac{6}{7}  

a)

12

b)

13/7

c)

12/7

d)

13

8.

 410×23\frac{4}{10}\times\frac{2}{3}  =

a)

8/30

b)

5/13

c)

6/13

d)

5/30

9.

35÷56\frac{3}{5}\div\frac{5}{6}

a)

18/25

b)

1/2

c)

5/10

d)

18/10

10.

47÷89\frac{4}{7}\div\frac{8}{9} =

a)

32/63

b)

19/14

c)

36/56

d)

1/2

11.
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
12.
A team of runners is needed to run a 1/4 mile relay race . If each runner must run 1/16 mile.  How many runners do they need to run the race?
a)
4
b)
5
c)
1/64
d)
2
13.
What is the correct number sentence that represents the following problem? 
Mr. Andrews has 6 candy bars in his classroom.  He has 3 students that will share them equally.  How many will each get?
a)
⅓ ÷ 6
b)
6 ÷ 3
c)
3 ÷ 6
d)
6 ÷ ⅓
14.
Mrs. Silverstein bought 3 cakes for a birthday party.  She cuts each cake into quarters (1/4) and plans to serve each guest one quarter of a cake.  How many guests can she serve with all of her cakes?
a)
1/12
b)
12
c)
20
d)
36
15.

Ned had 8 pounds of bird seed. His bird feeders each held 1/3 of a pound of bird seed. How many times could he fill his bird feeder with the birdseed he has?

a)

1/24 times

b)

24 times

c)

8/3 times

d)

32 times

16.

Beth has 6 meters of yarn. She cuts the yarn into 1/3 meter pieces. How many pieces of yarn does beth create?

a)

6/3

b)

1/18

c)

18

d)

1/2

17.

Select all correct answers to 20 * 1/10 .

a)

20

b)

20/10

c)

5

d)

2

18.

The answer to a multiplication problem.

a)

sum

b)

difference

c)

product

d)

factor

19.

To seperate into equal groups.

a)

multiply

b)

add

c)

subtract

d)

divide

20.

A number that is multiplied by another number to find a product.

a)

addend

b)

Minuend

c)

factor

d)

divisor

WaygroundAnswer Key

Multiplication and Division of Fraction

Total questions: 20

1.
c)

 83\frac{8}{3}  

2.
b) 1/5
3.
a)

1/5

4.
a)

7/8

5.
c)

1/4

6.
d)

18

7.
c)

12/7

8.
a)

8/30

9.
a)

18/25

10.
c)

36/56

11.
c) 3/5
12.
a) 4
13.
b) 6 ÷ 3
14.
b) 12
15.
b)

24 times

16.
c)

18

17.
d)

2

, b)

20/10

18.
c)

product

19.
d)

divide

20.
c)

factor

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FAQs

What does this worksheet cover?

This Grade 6 worksheet covers converting mixed numbers to improper fractions, finding reciprocals, multiplying and dividing fractions, simplifying answers, and interpreting fraction operations in word problems. Its 20 items—19 multiple choice and one multiple select—ask students to apply these skills in both numerical expressions and situations such as sharing cakes, filling feeders, and assigning relay distances.

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

Introduce the computation items by reviewing mixed-number conversion, reciprocals, and simplifying before students work through the multiplication and division questions. Then have students explain how the operation matches each context problem—for example, why finding how many one-quarter portions are in three cakes requires division—using the worksheet’s number-sentence items to connect models, equations, and answers.

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

Watch for students keeping a mixed number unchanged when an improper fraction is needed, using the same fraction instead of its reciprocal, or multiplying denominators incorrectly. In the division and word-problem items, students may invert the wrong fraction, choose an operation based on keywords rather than the situation, or fail to simplify a correct result such as a quotient given in an unsimplified form.

How do I assign and grade this worksheet?

Wayground provides this fraction worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 20 questions. Assign the digital quiz for online responses, or print the PDF and grade student work using the key; printable submissions can also be graded by scanning them with the Wayground for Teachers app. The printable format can support schools that are reducing screen time.

How can I differentiate this fraction worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the fraction expressions, answer choices, and word problems easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the multiplication, division, reciprocal, and simplification tasks intact.

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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