Free Printable Dividing Mixed Numbers

1.

Convert to a mixed number:

a)

4 2/5

b)

3 9/5

c)

4 4/5

d)

4/5

2.

Convert to an improper fraction: 4 2/5

a)

22/5

b)

20/5

c)

8/5

d)

42/5

3.

Convert to an improper fraction: 3 1/4

a)

13/4

b)

31/4

c)

3/4

d)

12/4

4.

Convert to an improper fraction: 7 1/3

a)

22/3

b)

71/3

c)

21/3

d)

7/3

5.

Convert to an improper fraction: 5 2/3

a)

17/3

b)

52/3

c)

10/3

d)

15/2

6.

Convert to an improper fraction: 11 3/4

a)

47/4

b)

113/4

c)

33/4

d)

44/3

7.

Convert to an improper fraction: 6 2/3

a)

20/3

b)

62/3

c)

12/3

d)

18/2

8.

3 1/4 ÷ 3

a)

1 1/2

b)

3 4/3

c)

6 1/2

d)

2 1/2

9.

Divide. 2 2/3 ÷ 2/5

a)

1 1/15

b)

6 2/3

c)

3/20

d)

7 1/2

10.

Divide. 1 1/5 ÷ 5 1/4

a)

4/5

b)

6 3/10

c)

4 3/8

d)

8/35

11.

Change 5 3/4 into an improper fraction

a)

23/4

b)

4/23

c)

20/4

d)

5 4/3

12.

1 ½ ÷ ½ =

a)

⅓

b)

1 ¼

c)

3

d)

3/4

13.

What is the reciprocal of 2 ?

a)

2/1

b)

1/2

c)

2

d)

none of the above

14.

What is another name of flip?

a)

Flip

b)

Reciprocal

15.

Change 5 3/4 into an improper fraction

a)

23/4

b)

4/23

c)

20/4

d)

5 4/3

16.

Change 2 6/7 to an improper fraction.

a)

15/7

b)

20/7

c)

19/7

d)

44/7

17.

Change 9 1/4 to an improper fraction.

a)

37/4

b)

13/4

c)

14/4

d)

22/4

18.

What is the reciprocal of 5?

a)

5/1

b)

1/5

19.

What is the reciprocal of 2/3?

a)

2/3

b)

1/4

c)

3/2

d)

4/6

20.

What is the reciprocal of 7/8?

a)

1

b)

14/16

c)

8/7

d)

7/8

21.

Mrs. Zimmer's class is making pillow cases. Each pillow case uses 3/4 of a yard of fabric. How many pillow cases can they make out of 12 1/2 yards of fabric?

a)

They can make 18 pillow cases.

b)

They can make 16 pillow cases.

c)

They can make 28 pillow cases.

d)

They can make 6 pillow cases.

22.

3 1/4 ÷ 3

a)

1 1/12

b)

3 4/3

c)

6 1/2

d)

2 1/2

23.

What fraction division problem is being modeled?

a)

3 ÷ ⅓ = 3

b)

⅓ ÷ 3 = 9

c)

3 ÷ ⅓ = 1

d)

3 ÷ ⅓ = 9

24.

Divide $\frac{4}{5}\ \div\ \ \frac{4}{7}$ (Simplify)

a)

2/1

b)

1 2/5

c)

2 2/5

d)

4/57

25.

What is the first step when you divide mixed numbers?

a)

Mulitply

b)

Divide

c)

Keep Change Flip

d)

Change the mixed number to an improper fraction

26.

Convert to an improper fraction.

a)

8/5

b)

11/5

c)

11/2

d)

2/5

27.

This fraction is:

a)

Proper Fraction

b)

Mixed Number

c)

Improper Fraction

d)

Integer

28.

$\frac{3}{4}\div\frac{1}{6}$

a)

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

b)

$3\ \frac{1}{2}$

c)

$\frac{12}{6}$

29.

$1\ \frac{1}{2}$ When you change a mixed number into an improper fraction the first step is to....

a)

multiply the denominator by the whole number

b)

add 10 to all of the numbers

c)

subtract the numerator from the whole number

30.

$\ \frac{25}{3}$ change the improper fraction into a mixed number

a)

$\frac{3}{25}$

b)

$9$

c)

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

31.

1/11÷ 4/3 =

a)

2/11

b)

1/22

c)

3/44

d)

4/33

32.

2/3 ÷ 5/6 =

a)

1 1/4

b)

4/5

c)

1/2

d)

3/4

33.

What is the reciprocal of 3/4?

a)

4/3

b)

3/4

c)

1/4 lb

d)

none of the above

34.

How many $\frac{1}{2}$ cup servings are in a package of cheese that contains $5\ \frac{1}{4}$ cups altogether? Remember that you are dividing $5\frac{1}{4}$ cups by $\frac{1}{2}$ to determine the number of servings in the package.

a)

10 1/2 servings

b)

15 servings

c)

5 1/2 servings

d)

9 servings

35.

In the expression $6\ \frac{2}{3}\div\frac{5}{6}$ , the first step is to rename $6\ \frac{2}{3}$ as an improper fraction. Rename $6\ \frac{2}{3}$ as an improper fraction.

a)

$\frac{15}{3}$

b)

$\frac{20}{3}$

c)

$\frac{3}{20}$

36.

In the expression $\frac{3}{10}\div5\frac{2}{5}$ , the first step is to rename $5\ \frac{2}{5}$ as improper fraction. Rename $5\ \frac{2}{5}$ as an improper fraction.

a)

$\frac{17}{5}$

b)

$\frac{27}{5}$

c)

$\frac{5}{27}$

37.

Write as a mixed number 3/2

a)

1 1/2

b)

1 1/4

c)

1 1/5

d)

1 1/7

38.

Write as a fraction 4 1/2

a)

9/2

b)

9/5

c)

9/3

d)

9/5

39.

Write as a mixed number 22/3

a)

7 1/3

b)

7 1/2

c)

7 1/4

d)

7 1/9

40.

Which of the following is an improper fraction?

a)

2/3

b)

3/2

c)

1 2/3

d)

1/3

41.

Which of the following is a mixed number?

a)

123

b)

12/3

c)

2/3

d)

1 2/3

42.

How many 1/2 cup servings are in a package of cheese that contains 5 1/4 cups altogether?

a)

10 1/2 servings

b)

15 servings

c)

5 1/2 servings

d)

9 servings

43.

6 ÷ ⅓ =

a)

½

b)

18

c)

2

d)

9

44.

.

a)

88/60

b)

48/110

c)

24/55

45.

4 ⅛ ÷ 1 ⅚ =

a)

2 ¼

b)

4 5/48

c)

1 ⅓

d)

4 ¼

46.

Simplify your answer as much as possible...

Write your answer as a mixed number...

a)

1 ⁷/₈

b)

3 ²/₆

c)

3 ¹/₃

d)

2 ¹/₈

47.

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

48.

Moses has $2\ \frac{4}{5}$ pound of peanuts. He wants to separate them into bags that can hold $\frac{1}{10}$ of a pound. How many bags will he need?

a)

27

b)

28

c)

30

d)

29

49.

Bob wants to convert $9\ \frac{3}{8}$ to a fraction greater than 1. What is $9\ \frac{3}{8}$ as an improper fraction?

a)

$\frac{8}{75}$

b)

$\frac{75}{8}$

c)

$\frac{3}{35}$

d)

$\frac{72}{8}$

50.

Ken has a box of trail mix that is $4\ \frac{4}{8}$ lbs. He is dividing it into 8 equal bowls. How much trail mix will be in each bowl? (simplest form)

a)

$\frac{9}{6}$

b)

$\frac{9}{16}$

c)

$\frac{18}{32}$

d)

$\frac{90}{100}$

51.

There are $5\frac{2}{3}$ lb of peanuts in a bag. Luke wants to separate the peanuts into $\frac{1}{6}$ lb bags. How many bags will Luke need?

a)

34

b)

40

c)

41

d)

39

52.

Ken has a box of trail mix that is $4\ \frac{4}{8}$ lbs. He is dividing it into 8 equal bowls. How much trail mix will be in each bowl? (simplest form)

a)

$\frac{9}{6}$

b)

$\frac{9}{16}$

c)

$\frac{18}{32}$

d)

$\frac{90}{100}$

53.

Moses has $2\ \frac{4}{5}$ pound of peanuts. He wants to separate them into bags that can hold $\frac{1}{10}$ of a pound. How many bags will he need?

a)

27

b)

28

c)

30

d)

29

54.

Alex ran $3\frac{6}{8}$ mile from F.P.B.S. to his house. What is this mixed number as an improper fraction?

a)

$\frac{30}{98}$

b)

$\frac{30}{8}$

c)

$\frac{8}{30}$

d)

$\frac{60}{16}$

55.

There are $5\frac{2}{3}$ lb of peanuts in a bag. Luke wants to separate the peanuts into $\frac{1}{6}$ lb bags. How many bags will Luke need?

a)

34

b)

40

c)

41

d)

39

56.

1. Sarah has 3 1/2 yards of fabric. She wants to divide it into pieces that are each 1/2 yard long. How many pieces can she cut?

a)

7

b)

5

c)

8

d)

6

57.

2. A recipe requires 2 3/4 cups of flour. If you want to make only 1/2 of the recipe, how much flour do you need?

a)

1 1/2 cups

b)

2 cups

c)

1 3/8 cups

d)

3 cups

58.

3. A baker made 5 1/2 dozen cookies. If he packs them into boxes of 1 1/4 dozen each, how many boxes can he fill?

a)

5

b)

6

c)

4

d)

3

59.

4. Tom has 4 3/4 liters of juice. He wants to pour it equally into 3 bottles. How much juice will be in each bottle?

a)

2 1/4 liters

b)

1 7/12 liters

c)

3 liters

d)

1 1/2 liters

60.

5. A gardener has 6 1/2 feet of rope. He uses 2 1/2 feet to tie up plants. How much rope does he have left?

a)

5 feet

b)

3 feet

c)

2 feet

d)

4 feet

61.

6. A class of 24 students is going on a field trip. If they are divided into groups of 3, how many groups will there be?

a)

8

b)

10

c)

6

d)

12

62.

7. Emily has 7 1/2 pounds of apples. She wants to share them equally among 5 friends. How many pounds of apples will each friend get?

a)

2 pounds

b)

1 1/2 pounds

c)

3 pounds

d)

1 pound

63.

8. A car can travel 3 1/2 miles on 1 gallon of gas. How many gallons of gas are needed to travel 14 miles?

a)

4 gallons

b)

10 gallons

c)

6 gallons

d)

2 gallons

64.

9. A pizza is cut into 8 equal slices. If you eat 3 1/2 slices, how many slices are left?

a)

6 slices

b)

3 slices

c)

5 slices

d)

4.5 slices

65.

10. A recipe calls for 1 1/2 cups of sugar. If you want to make 3 batches of the recipe, how much sugar do you need in total?

a)

3 cups

b)

5 cups

c)

4 1/2 cups

d)

6 cups

66.

1. Sarah has 3 1/2 yards of fabric. She wants to divide it equally into 4 pieces. How much fabric will each piece have?

a)

3/4 yards

b)

7/8 yards

c)

2 yards

d)

1 yard

67.

2. A recipe requires 2 3/4 cups of flour. If you want to make 3 batches of the recipe, how much flour do you need in total?

a)

8 1/4 cups

b)

4 1/2 cups

c)

6 cups

d)

10 cups

68.

3. Tom has 5 2/3 liters of juice. He wants to pour it into bottles that hold 1 1/4 liters each. How many bottles can he fill?

a)

2

b)

4

c)

5

d)

3

69.

4. A gardener has 4 1/2 bags of soil. If he uses 1 1/2 bags for each flower bed, how many flower beds can he prepare?

a)

5

b)

2

c)

3

d)

4

70.

5. Lisa read 6 1/4 books this month. If she wants to read the same number of books each week, how many books should she read per week over 4 weeks?

a)

1 1/4

b)

2 3/4

c)

1 9/16

d)

3 1/2

71.

6. A baker made 7 1/2 dozen cookies. If he wants to pack them into boxes of 2 1/3 dozen each, how many boxes can he fill?

a)

5

b)

2

c)

3

d)

4

72.

7. A painter has 8 3/4 gallons of paint. If he uses 2 1/2 gallons for each room, how many rooms can he paint?

a)

2

b)

5

c)

4

d)

3

73.

8. A farmer harvested 9 1/2 bushels of apples. If he wants to divide them into bags that hold 3 1/4 bushels each, how many bags will he need?

a)

4

b)

2

c)

3

d)

5

74.

9. Emma has 10 1/2 meters of ribbon. If she cuts it into pieces of 2 1/4 meters each, how many pieces can she cut?

a)

6

b)

5

c)

4

d)

3

75.

10. A teacher has 12 3/4 pounds of clay. If she wants to give each student 1 1/2 pounds, how many students can she provide for?

a)

4

b)

10

c)

6

d)

8

Dividing Mixed Numbers

Total questions: 75

Worksheet time: 5hrs 40mins

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