Free Printable Multiplying and Dividing Fractions

1.

Solve: Make sure to simplify
⁵/₁₂ x ⁸/₁₅

a)

⁴⁰/₁₈₀

b)

⁸/₃₆

c)

²/₉

d)

⁴/₁₈

2.

Solve: 2⅗ x 9½

a)

18³/₁₀

b)

24½

c)

24 ⁷/₁₀

d)

23⁷/₁₀

3.

Student Council bought Mrs. Donnelly two dozen (24) roses. 1/4 of them were white roses. How many white roses were there?

a)

12

b)

48

c)

6

d)

1/48

4.

Solve the following problem.

What is 4 divided by 1/5?

a)

1/20

b)

1/24

c)

20

d)

24

5.

What is 1/5 divided by 5?

a)

1/25

b)

1/15

c)

25

d)

15

6.

There is ½ of a pizza left. Marcos ate ¼ of that amount. How much did Marcos eat?

a)

⅛

b)

⅓

c)

2

d)

⅞

7.

4/16 x 2/5

a)

1/3

b)

1/10

c)

8/21

d)

1/4

8.

Simplify: 8/24

a)

1/4

b)

2/5

c)

1/6

d)

1/3

9.

Simplify: 16/30

a)

4/7

b)

8/15

c)

1/8

d)

2/7

10.

What is 1/3 of 12?

a)

2

b)

3

c)

4

d)

5

11.

2/3 x 4/5

a)

6/8

b)

2/4

c)

8/15

d)

5/15

12.

1/3 ÷ 4

a)

1 1/3

b)

1/12

c)

12

d)

3/4

13.

Change the mixed number to an improper fraction

a)

29/8

b)

24/8

c)

16/6

d)

55/8

14.

A carpenter needs 1/2 of box of caulk to paste 4 wooden cupboards. How much caulk would be required to paste 1 wooden cupboard?

a)

1/8

b)

8

c)

1/4

15.

Find the product.

a)

2/14

b)

1/49

c)

2/7

d)

1/14

16.

Find the product.

a)

3/50

b)

30/5

c)

6

d)

1 1/5

17.

George has 1/3 pan of brownies. He eats 1/4 of them. What fraction did George eat?

a)

1/7

b)

1/4

c)

1/3

d)

1/12

18.

$\div$ Mrs. Simon has 3 cookies for 9 students. What is the division expression?

a)

3 x 9

b)

9 divided by 3

c)

3/9

d)

9/3

19.

$\div$ What is 40 / 10 as a division expression?

a)

4/1

b)

4

c)

40 divided by 10

d)

10 divided by 40

20.

What is 8/12 as a division expression?

a)

2/3

b)

8 + 12

c)

8 divided by 12

d)

12 divided by 8

21.

What is 16 divided by 1/4?

a)

1/64

b)

4

c)

64

d)

1/16

22.

Simplify
$\frac{11}{13}\cdot\frac{1}{2}$

a)

$\frac{11}{13}$

b)

$\frac{11}{15}$

c)

$\frac{1}{26}$

d)

$\frac{11}{26}$

23.

Write your answer as a mixed number when necessary. $3\ \frac{1}{2\ }\cdot1\ \frac{1}{6}$

a)

$3\ \frac{1}{12}$

b)

$4\ \frac{1}{2}$

c)

$4\ \frac{1}{12}$

d)

$3\ \frac{1}{3}$

24.

Write your answer as a mixed number when necessary. $4\ \frac{1}{2}\cdot3\ \frac{11}{13}$

a)

$17\ \frac{4}{13}$

b)

$12\ \frac{11}{26}$

c)

$7\ \frac{11}{26}$

d)

$\frac{39}{13}$

25.

Multiply

a)

6

b)

4 / 45

c)

20

d)

7 /45

26.

2 ³/₄ × 12 =

a)

33

b)

24 ³/₄

c)

24 ¹/₃

d)

120

27.

Eli spent 3/4 of an hour studying each night. He studied for 5 nights. How many hours did he study?

a)

5/4

b)

3 3/4

c)

1 5/4

d)

3 1/4

28.

Alexandra made a rectangular quilt that measured 3 1⁄2 feet in length by 2 1⁄2 feet in width.

To find the area, multiply the length and width. What is the area?

a)

8 and 3/4 square feet

b)

8 and 5⁄6 square feet

c)

8 and 10⁄12 square feet

29.

Which of the following questions could be answered using the expression 3 divided by 1/3?

a)

How many miles will Kniah walk is she walks 1/3 mile each day for 9 days?

b)

How many 1/3 cup serving can be made from a 3 cup bag of granola?

c)

How much of a pie will each person get if 3 people share 1/3 of a pie?

d)

How much granola is left if 1/3 cup is taken from a 3 cup bag?

30.

There are 2 cups of chocolate chips in a bag. If the serving is 1/3 of a cup, how many servings are there in a bag?

a)

1/6 servings

b)

6 servings

31.

Which equation matches the model?

a)

1/4 ÷ 3

b)

3 ÷ 1/4

32.

$\frac{2}{10}\times\frac{1}{3}=$

a)

$\frac{1}{15}$

b)

$\frac{3}{13}$

c)

$\frac{6}{10}$

d)

$\frac{3}{5}$

33.

$\frac{2}{10}\times15=$

a)

$30$

b)

$3$

c)

$\frac{1}{5}$

d)

$150$

34.

$8\div\frac{1}{3}=$

a)

$12$

b)

$\frac{1}{11}$

c)

$24$

d)

$11$

35.

Landon has 1/3 pan of brownies. He eats 1/4 of them. What fraction did Landon eat?

a)

2/7

b)

1/4

c)

1/3

d)

1/12

36.

If Ryan Reynolds ate 1/3 of the pizza, and there were twelve slices. How many slices did he eat?

a)

2

b)

3

c)

4

d)

5

37.

Cinderella spent all day cleaning the castle, 1/4 of the day was spent cleaning the kitchen. She spent 1/3 of that time washing dishes. What fraction of the day did she spend washing dishes?

a)

3/4

b)

1/7

c)

1/12

d)

1/6

38.

Sponge Bob drives his boat to school in 6 2/5 minutes. If it takes Patrick 5 times as long to get to school, how long does it take Patrick to get to school?

a)

32/5 Minutes

b)

30 2/5 Minutes

c)

32 Minutes

d)

160/5 Minutes

39.

1b.) Change the Mixed Number into an Improper Fraction.
$8\frac{4}{5}$

a)

$\frac{44}{5}$

b)

$\frac{112}{2}$

c)

1 $\frac{1}{40}$

d)

$\frac{40}{5}$

40.

1a.) Change the Mixed Number into an Improper Fraction.
$3\ \frac{1}{2}$

a)

$\frac{21}{4}$

b)

$\frac{2}{3}$

c)

$\frac{7}{2}$

d)

$\frac{9}{2}$

41.

2a.) Change the Improper Fraction to a Mixed Number.
$\ \ \frac{13}{4}$

a)

2

b)

$1\frac{2}{3}$

c)

$1\frac{13}{15}$

d)

$3\frac{1}{4}$

42.

2b.) Change the Improper Fraction to a Mixed Number. $\frac{5}{2}$

a)

$2\frac{3}{4}$

b)

$2\frac{1}{2}$

c)

$8\frac{4}{5}$

d)

$2\frac{3}{8}$

43.

There are 150 8th grade students at Alton Memorial Jr High. Of those students, 2/5 are in choir, 2/4 are in band and the rest are in other electives. How many students are in other electives?

a)

128 students

b)

15 students

c)

35 students

d)

50 students

44.

Which expression is correct for this problem?

a)

18 x ⅚

b)

18 ÷ ⅚

c)

⅚ ÷ 18

45.

Which expression is correct?

a)

3 x ⅕

b)

3 ÷ ⅕

c)

⅕ ÷ 3

46.

Which expression is correct?

a)

½ ÷ 7

b)

½ x 7

c)

7 ÷ ½

47.

You have 7 donuts to equally split between you and your 3 friends; how many donuts will each person get?

a)

2 donuts each

b)

7/4 of a donut each

c)

7/3 of a donut each

d)

4/7 of a donut each

48.

If 3 friends want to equally split ½ a pound of chocolate, how much chocolate will each friend get?

a)

1/6 of a pound each

b)

6 pounds each

c)

1/5 of a pound each

d)

2/3 of a pound each

49.

Evaluate...

Write your answer as a mixed number in the simplest form...

a)

5 ²/₅

b)

6 ¹/₅

c)

5 ³/₅

d)

6 ²/₅

50.

Evaluate...

Write your answer as a mixed number in the simplest form...

a)

1 ⁵/₉

b)

1 ⁶/₉

c)

¹⁴/₉

d)

¹⁵/₉

51.

Evaluate...

Write your answer as a mixed number in the simplest form...

a)

2 ¹/₁₀

b)

2 ²/₁₀

c)

²¹/₁₀

d)

²²/₁₀

52.

Evaluate...

Write your answer as a mixed number in the simplest form...

a)

6 ³/₇

b)

6 ⁴/₇

c)

⁴⁵/₇

d)

⁵⁴/₇

53.

A rectangle has a length of 1/2 foot and a width of 3/5 foot. What is the area of the rectangle?

a)

1/10

b)

2/10

c)

3/10

d)

4/10

Multiplying and Dividing Fractions

Total questions: 53

Worksheet time: 3hrs 42mins

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