Free Printable Division of Fraction and Mixed Numbers

1.

What is the reciprocal of 7 / 9 ?

a)

1 2/9

b)

9/7

c)

1 9/7

2.

What is the reciprocal of 9?

a)

9/1

b)

1/9

c)

9 has no reciprocal

d)

just 9

3.

What is 7/8 ÷ 1/4?

a)

3 1/2

b)

4

c)

4 1/2

d)

5

4.

6 2/3 ÷ 2 4/6 = ?

a)

2 24/48

b)

2 12/24

c)

2 6/12

d)

2 1/2

5.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

6.

a)

3 2/7

b)

4 ⁴/₇

c)

⁵⁷/₉

d)

5 ¹/₂

7.

a)

1 1/4

b)

1

c)

1 1/5

d)

1 2/7

8.

a)

2

b)

4

c)

1

d)

1/8

9.

a)

1/6

b)

2 / 3

c)

7 / 27

d)

1/8

10.

5¹⁄₂÷ ⁴⁄₅=

a)

6⁷⁄₈

b)

10

c)

⁴⁴⁄₁₀

d)

¹¹⁄₄

11.

³⁄₄÷ 4¹⁄₂ =

a)

²⁷⁄₈

b)

³⁶⁄₆

c)

¹⁄₆

d)

6

12.

a)

2 gallons

b)

1/2 gallons

c)

2 1/2 gallons

d)

4 gallons

13.

Brenda has 5/6 of a pie to divide evenly amount 4 people. What fraction of a pie does each person get?

a)

3/10

b)

1/4

c)

5/24

d)

1/6

14.

$\frac{1}{6}\div2$

a)

$\frac{1}{3}$

b)

$\frac{2}{6}$

c)

$\frac{1}{12}$

d)

$12$

e)

$3$

15.

$18\ \div\frac{2}{3}$

a)

$27$

b)

$\frac{1}{12}$

c)

$12$

d)

$\frac{1}{9}$

16.

Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can Valerie cut?

a)

13

b)

6

c)

9

d)

This is not possible.

17.

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

18.

What fraction division problem is being modeled?

a)

⅗ ÷ 10 = 6

b)

3 ÷ 10 = ⅗

c)

⅗ ÷ 1/10 = 6

d)

⅗ ÷ 1/10 = 6/10

19.

Jaileel is starting a new exercise routine. He has a goal of walking 12 miles. If he walks 1/5 mile each day, how many days will it take him to walk a total of 12 miles?

a)

18 days

b)

32 days

c)

40 days

d)

60 days

20.

Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/3 mile. How many students will a team need to complete the race?

a)

1/9

b)

3

c)

12

d)

9

21.

Lauriss picks 6 pounds of apples. She uses 1/2 pound of apples too make 1 container of applesauce. How many containers of applesauce can Elise make with all the apples?

a)

12 containers

b)

6 and 1/2 containers

c)

3 containers

d)

5 and 1/2 containers

22.

Piper used 1/5 meter of ribbon to create a border around a triangle. If each side of the triangle is the same length, how much ribbon did Piper use for each side?
Which equation represents how much ribbon Piper used?

a)

1/3 ÷ 5

b)

5 ÷ 1/5

c)

1/5 ÷ 3

d)

3 ÷ 1/6

23.

JAmya made 5 cups of pancake batter. She uses a scoop measuring 1/3 cup to pour batter onto the skillet to make pancakes. How many pancakes can Amya make?

a)

5 pancakes

b)

1/12 pancakes

c)

1/15 pancakes

d)

15 pancakes

24.

5 ÷ ⅕

a)

⅕

b)

1/25

c)

5

d)

25

25.

Simplify your answer as much as possible...

Write your answer as a mixed number...

a)

2 ¹⁴/₁₅

b)

4 ⁷/₁₂

c)

⁴⁴/₁₅

d)

2 ¹³/₁₅

26.

Simplify your answer as much as possible...

Write your answer as a mixed number...

a)

3 ¹/₇

b)

3 ²/₁₄

c)

⁴⁴/₁₄

d)

3 ²/₇

27.

$\frac{1}{7}\div6$

a)

42

b)

1/42

c)

6/7

d)

1/6

28.

Which equation matches this model?

a)

$\frac{1}{4}\div6$

b)

$6\div\frac{1}{4}$

c)

$\frac{1}{6}\div4$

d)

$4\div\frac{1}{6}$

29.

Which of the following models correctly shows this equation:
$\frac{1}{9}\div3$

a)

b)

c)

d)

30.

Choose the correct division equation represented by the model.

a)

$\frac{3}{5}\div\frac{1}{10}=6$

b)

$\frac{1}{10}\div\frac{3}{5}=6$

c)

$\frac{3}{5}\div6\ =\ \frac{1}{10}$

31.

Choose the correct division equation represented by the model.

a)

$3\div\frac{3}{5}=5$

b)

$\frac{3}{5}\div\ 5\ =\ 3$

c)

$3\div5\ =\frac{3}{5}$

d)

$5\ \div\ \frac{1}{3}=\ \frac{3}{5}$

32.

Piper used 1/5 meter of ribbon to create a border around a triangle. If each side of the triangle is the same length, how much ribbon did Piper use for each side?
Which equation represents how much ribbon Piper used?

a)

1/3 ÷ 5

b)

5 ÷ 1/5

c)

1/5 ÷ 3

d)

3 ÷ 1/6

33.

Mekhi wants to divide one-third of the pancake batter to make 4 mini pancakes. What fraction of a cup of batter will each pancake get?

a)

1/3

b)

1/12

c)

1/4

d)

1/6

34.

A pet store had 9 cats to feed. If they only had one-fourth of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get?

a)

36

b)

1/5

c)

1/32

d)

1/36

Division of Fraction and Mixed Numbers

Total questions: 34

Worksheet time: 2hrs 7mins

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