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Division of Mixed Numbers - Printable Mathematics Worksheets - Wayground

Division of Mixed Numbers

21 questions

6th - 6th Grade

Mathematics

Division of Mixed Numbers is a Grade 6 mathematics worksheet that gives students focused practice finding quotients, simplifying fractional answers, and expressing results as mixed numbers when appropriate. Its 21 questions include 19 multiple-choice items, one multiple-select item, and one fill-in-the-blank item. Students also identify equivalent forms, solve division expressions involving mixed numbers, and apply division to a packet-counting word problem. This worksheet supports independent practice, review, or a quick formative assessment after instruction on dividing mixed numbers. The varied item types help teachers check both procedural accuracy and students’ ability to recognize simplified and equivalent answers. It is a free printable worksheet with a complete answer key, making it easy to use for classwork, homework, intervention, or answer review.

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Worksheets

Division of Mixed Numbers

Total questions: 21

Name
Class
Date
1.

Find the quotient.

Write your answer as a mixed number.

Simplify your answer as much as possible.

a)

1 7/8

b)

3 2/6

c)

3 1/3

d)

2 1/8

2.

Find the quotient.

Write your answer as a mixed number.

Simplify your answer as much as possible.

a)

2 2/3

b)

4 7/12

c)

44/15

d)

2 13/15

3.

Find the quotient.

Write your answer as a mixed number.

Simplify your answer as much as possible.

a)

17/28

b)

1 34/56

c)

30/56

d)

15/28

4.

Simplify your answer as much as possible.

a)

27/40

b)

90/12

c)

28/40

d)

12/14

5.

Simplify your answer as much as possible

Write your answer as a mixed number

a)

3 2/7

b)

3 2/14

c)

3 1/7

d)

44/14

6.

Simplify your answer as much as possible

Write your answer as a mixed number

a)

1 19/20

b)

1 18/20

c)

39/20

d)

1 9/10

7.

Simplify your answer as much as possible

a)

22/27

b)

44/54

c)

11/12

d)

99/24

8.

7 12 ÷ 4 = ?7\ \frac{1}{2}\ \div\ 4\ =\ ?  

a)

158\frac{15}{8}  

b)

603\frac{60}{3}  

c)

1 781\ \frac{7}{8}  

d)

128\frac{1}{28}  

9.



(a)  

10.

210×134\frac{2}{10}\times1\frac{3}{4}  

a)

520\frac{5}{20}  

b)

1720\frac{17}{20}  

c)

720\frac{7}{20}  

d)

37\frac{3}{7}  

11.

18×115\frac{1}{8}\times1\frac{1}{5}  

a)

217\frac{2}{17}  

b)

317\frac{3}{17}  

c)

220\frac{2}{20}  

d)

320\frac{3}{20}  

12.

56×213\frac{5}{6}\times2\frac{1}{3}  

a)

1517\frac{15}{17}  

b)

1617\frac{16}{17}  

c)

  117181\frac{17}{18}  

d)

1318\frac{13}{18}  

13.

434 ÷ 1124\frac{3}{4}\ \div\ 1\frac{1}{2}  

a)

4384\frac{3}{8}  

b)

857\frac{8}{57}  

c)

16161\frac{6}{16}  

d)

32123\frac{2}{12}  

14.

Which is equivalent to the problem shown?

a)
b)
c)
d)
15.

Find the quotient.

a)

4 3/4

b)

1 3/4

c)

6 11/16

d)

2 11/12

16.

Divide. (Simplify if necessary)

2 ¼ ÷ 4 ⅕ =

a)
11/26
b)
⅝
c)
⅞
d)
15/28
17.

Divide. (Simplify if necessary)

3 ⅜ ÷ 1 ¼

a)

2 7/10

b)

3 7/12

c)

1 6/7

d)

2 8/9

18.
a)
3  2/7
b)
4  4/7
c)
57/9
d)
5  1/2
19.

Angel will pack 240 kilograms of sugar into packets of 34\frac{3}{4}  kilogram. How many packets can she make out of 240 kilograms of sugar?

a)

320 packets

b)

420 packets

c)

520 packets

20.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

7 7/8

b)

6 7/8

c)

6 5/8

d)

8 5/8

21.
Multiply.  Be sure to simplify your answer when possible.
a)
18 4/14
b)
23
c)
18 2/7
d)
322/14
Answer Key

Division of Mixed Numbers

Total questions: 21

1.
a)

1 7/8

2.
a)

2 2/3

3.
d)

15/28

4.
a)

27/40

5.
c)

3 1/7

6.
a)

1 19/20

7.
a)

22/27

8.
a)

158\frac{15}{8}  

, c)

1 781\ \frac{7}{8}  

9.
3 1/3
10.
c)

720\frac{7}{20}  

11.
d)

320\frac{3}{20}  

12.
c)

  117181\frac{17}{18}  

13.
d)

32123\frac{2}{12}  

14.
c)
15.
d)

2 11/12

16.
d) 15/28
17.
a)

2 7/10

18.
b) 4  4/7
19.
a)

320 packets

20.
a)

7 7/8

21.
b) 23

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FAQs

What does this Division of Mixed Numbers worksheet cover?

This Grade 6 worksheet focuses on dividing mixed numbers and fractions, simplifying each quotient, and writing answers as mixed numbers when required. Its 21 items use multiple choice, multiple select, and fill-in-the-blank formats, including equivalent-form questions and a packet-counting application problem. Completing the set builds accuracy with quotient calculation, answer representation, and fraction simplification.

How can I use this worksheet to teach dividing mixed numbers?

Model one division expression by converting mixed numbers to improper fractions, multiplying by the reciprocal, and simplifying the result before deciding whether a mixed-number form is required. Then have students explain why an answer such as an unsimplified fraction or improper fraction may not match the requested form. Use the worksheet’s equivalent-form and packet-counting items afterward to connect the procedure to representation and application.

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

Watch for students using the divisor without taking its reciprocal, performing multiplication incorrectly after converting mixed numbers, or stopping before reducing the quotient. The answer choices also make it possible to spot students who select an equivalent but unsimplified fraction, leave an improper fraction when a mixed number is requested, or misread the packet-counting division problem.

How do I assign and grade this worksheet?

This Division of Mixed Numbers worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 21 questions. Assign the digital version for online practice, or print copies for written work and grade student submissions by scanning them with the Wayground for Teachers app.

How can I differentiate this mixed-number division worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the fraction expressions, answer choices, and fill-in response have more room to read and complete. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the directions and word problem.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across 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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