Free Printable Understanding Fractions and Operations

1.

7/9 - 4/9 (Simplest Form)

a)

11

b)

3/9

c)

1/3

d)

11/9

2.

In the fraction 3/4, what is the denominator?

a)

4

b)

3

c)

1

d)

2

3.

In the fraction 1/2, the number 1 is:

a)

The numerator

b)

The denominator

c)

The donator

d)

The nominator

4.

How do you add two fractions with like denominators?

a)

Add the denominators; keep the numerators the same

b)

Add the numerators and add the denominators

c)

Add the numerators to the denominators

d)

Add the numerators and keep the like denominators

5.

4/8 + 2/8 =

a)

1/4

b)

8/8

c)

3/4

d)

8/16

6.

When subtracting fractions that don't have like denominators, what is the first step?

a)

Find their least common denominator

b)

Convert them to decimals

c)

Find their greatest common factor

d)

Subtract the numerators

7.

4/8 + 1/3 =

a)

5/11

b)

4/8

c)

13/24

d)

4/11

8.

What must you have to add and subtract fractions?

a)

Common numerators

b)

Different numerators

c)

Different denominators

d)

Common denominators

9.

a)

5 1/2

b)

1 1/6

c)

5 5/14

d)

4 19/24

10.

a)

1/6

b)

1

c)

1/0

d)

1/12

11.

3/5 + 1/5 =

a)

3/5

b)

4/5

c)

4/10

d)

2/5

12.

a)

4/5

b)

4/10

c)

2/5

d)

5

13.

What is the sum of these fractions?

a)

4/5

b)

3/20

c)

17/20

d)

4/20

14.

a)

8/8

b)

13/18

c)

3/8

15.

5/6 - 1/3

a)

1/2

b)

2/3

c)

4/6

d)

4/3

16.

2/4 is the same as ____

a)

3/4

b)

1

c)

1/4

d)

1/2

17.

3/9 + 4/9 =

a)

7/18

b)

7/9

c)

12/9

d)

12/81

18.

What is the least common denominator of 1/9 and 2/3?

a)

6

b)

3

c)

9

d)

21

19.

What is the least common denominator of 1/2 and 3/7?

a)

2

b)

14

c)

7

d)

28

20.

2/7 + 3/7 =

a)

4/7

b)

5/7

c)

5/14

21.

$\frac{3}{5}+\frac{3}{10}$

a)

$\frac{9}{12}$

b)

$\frac{9}{10}$

c)

$\frac{3}{5}$

d)

$\frac{6}{10}$

22.

$\frac{5}{12}+\frac{1}{3}$

a)

$\frac{6}{12}$

b)

$\frac{9}{12}$

c)

$\frac{6}{15}$

d)

$\frac{3}{14}$

23.

$\frac{1}{3}+\frac{1}{9}$

a)

$\frac{4}{9}$

b)

$\frac{9}{12}$

c)

$\frac{6}{9}$

d)

$\frac{3}{12}$

24.

$\frac{2}{3}+\frac{2}{9}$

a)

$\frac{4}{9}$

b)

$\frac{8}{9}$

c)

$\frac{4}{12}$

d)

$\frac{4}{18}$

25.

$\frac{1}{6}+\frac{1}{12}$

a)

$\frac{3}{12}$

b)

$\frac{3}{8}$

c)

$\frac{2}{12}$

d)

$\frac{1}{3}$

26.

$\frac{1}{4}+\frac{3}{8}$

a)

$\frac{4}{8}$

b)

$\frac{1}{2}$

c)

$\frac{5}{8}$

d)

1

27.

$\frac{7}{18}+\frac{1}{3}$

a)

$\frac{8}{18}$

b)

$\frac{13}{18}$

c)

$\frac{8}{21}$

d)

$\frac{2}{6}$

28.

Is this a correct answer?

a)

Yes, the student correctly added.

b)

No, you cannot add unlike denominators

c)

No, 5 + 7 is not 12

d)

No, 2 + 3 is not 5

29.

What is the first step in solving this problem? $\frac{4}{5}+\frac{1}{2}=$

a)

Add the top parts of the fraction

b)

Rewrite the fractions in the simplest form.

c)

Find a common denominator.

d)

Make each fraction into an improper faction.

30.

$\frac{2}{4}$ is the same as ____

a)

$\frac{3}{4}$

b)

1

c)

$\frac{1}{4}$

d)

$\frac{1}{2}$

31.

Add these Fractions

a)

$\frac{2}{4}$

b)

$\frac{3}{4}$

c)

$\frac{4}{8}$

d)

1

32.

The number on the top of a fraction is called what?

a)

numerator

b)

denominator

c)

fractionator

d)

equivalent

33.

What do you need to have when adding unlike fractions?

a)

common denominator

b)

common numerator

c)

common numerator and denominator

34.

$\frac{50}{100}+\frac{25}{100}=$

a)

$\frac{100}{75}$

b)

$\frac{100}{100}$

c)

$\frac{75}{100}$

d)

$\frac{52}{100}$

35.

A construction company is digging a pit to build the foundation of a house. At the end of the first day, the company had hauled away 1/6 of a truckload of dirt. On the second day, they hauled away 2/6 of a truckload. How many truckloads did they haul away in all?

a)

$\frac{1}{4}$ truckload

b)

$\frac{1}{2}$ truckload

c)

$\frac{3}{4}$ truckload

d)

$\frac{1}{3}$ truckload

36.

$\frac{8}{10}+\frac{3}{5}$

a)

$\frac{11}{15}$

b)

$1\ \frac{1}{5}$

c)

$\frac{14}{15}$

d)

$1\ \frac{4}{10}$

37.

$\frac{5}{12}+\frac{1}{3}$

a)

$\frac{6}{12}$

b)

$\frac{8}{12}$

c)

$\frac{6}{15}$

d)

$\frac{3}{4}$

38.

$\frac{5}{6}+\frac{1}{12}=$

a)

$\frac{6}{18}$

b)

$\frac{5}{60}$

c)

$\frac{11}{12}$

d)

$\frac{10}{12}$

39.

$\frac{1}{9}+\frac{2}{27}$

a)

$\frac{3}{27}$

b)

$\frac{5}{27}$

c)

$\frac{3}{27}$

d)

$\frac{3}{36}$

40.

Find the sum. $\frac{1}{2}+\frac{2}{5}$

a)

$\frac{3}{7}$

b)

$\frac{3}{10}$

c)

$\frac{9}{10}$

d)

$1\ \frac{1}{10}$

41.

8/9 - 1/3 =

a)

7/6

b)

5/9

c)

2/3

d)

8/27

42.

4/5 - 1/20 =

a)

0

b)

20/15

c)

3/15

d)

15/20

43.

What is 9/10 - 3/4?

a)

5/7

b)

3/20

c)

3/8

d)

9/10

44.

$\frac{8}{9}-\frac{5}{6}$

a)

$\frac{1}{18}$

b)

$\frac{3}{3}$

c)

$\frac{3}{18}$

d)

$\frac{1}{54}$

45.

$\frac{3}{5}-\frac{2}{6}$

a)

0

b)

$\frac{1}{3}$

c)

$\frac{1}{30}$

d)

$\frac{4}{15}$

46.

7/8 - 1/6 =

a)

17/24

b)

15/18

c)

12/24

47.

a)

1/12

b)

1

c)

2/35

d)

23/25

48.

3/4 - 2/10

a)

11/20

b)

9/10

c)

11/24

d)

9/4

49.

3/5 - 5/10

a)

1/10

b)

8/5

c)

1/5

d)

8/0

50.

8/10 - 1/5

a)

5/3

b)

3/5

c)

9/13

51.

a)

1/5

b)

1 1/3

c)

1 1/5

d)

1 3/5

52.

a)

5/6

b)

1

c)

1 1/6

d)

8/6

53.

a)

6/9

b)

10/9

c)

2/3

d)

1 1/9

54.

a)

1/12

b)

1

c)

2/35

d)

23/25

55.

a)

- 3/56

b)

18/56

c)

- 4/15

d)

29/56

56.

1/2 + 1/4 =

a)

3/4

b)

2/4

c)

3/6

57.

19/20 - 3/10 =

a)

15/20

b)

22/20

c)

13/20

58.

8/15 - 1/5 =

a)

1/10

b)

1/3

c)

7/15

59.

3/5 - 3/10 =

a)

3/10

b)

4/10

c)

5/10

60.

7/16 + 3/8 =

a)

8/16

b)

10/16

c)

13/16

61.

8/9 - 5/6 =

a)

4/18

b)

1/18

c)

3/18

62.

4/9 - 1/12 =

a)

13/36

b)

15/36

c)

16/36

63.

1/18 + 5/6 =

a)

5/9

b)

6/9

c)

8/9

64.

7/15 - 1/5 =

a)

5/6

b)

4/15

c)

3/5

65.

a)

1

b)

3/6

c)

1/2

d)

2

66.

3/8 + 2/4 =

a)

5/12

b)

5/8

c)

7/8

d)

6/8

67.

2/6 + 1/2 =

a)

5/6

b)

3/6

c)

4/6

d)

3/8

68.

5/6 + 1/12 =

a)

6/18

b)

5/60

c)

11/12

d)

10/12

69.

1/9 + 2/27 =

a)

3/27

b)

5/27

c)

3/27

d)

3/36

70.

a)

13/15

b)

1 7/12

c)

1

d)

9/15

71.

Multiply:

3/4 x 1/2 =

a)

3/8

b)

4/6

c)

1/3

d)

4/8

72.

Multiplication: 4/5 x 2/4 =

a)

6/9

b)

8/15

c)

8/20

d)

8/25

73.

2/3 x 1/3 =

a)

2/6

b)

3/6

c)

2/9

d)

3/9

74.

6/9 x 2/3

a)

12/27

b)

12/18

c)

12/12

d)

8/24

75.

6 x 1/2

a)

6/12

b)

7/12

c)

6/2

d)

7/2

76.

3/8 x 3/5

a)

6/13

b)

6/40

c)

9/40

d)

9/35

77.

5 x2/3

a)

2/15

b)

10/4

c)

10/3

d)

10/15

78.

4 x 1/8

a)

4/8

b)

5/8

c)

4/16

d)

5/16

79.

3 x 3/9

a)

6/9

b)

9/9

c)

5/10

d)

6/10

80.

7 x 4/5

a)

21/5

b)

11/5

c)

18/5

d)

28/5

81.

$\frac{2}{5\ }has\ a\ reciprocal\ of:$

a)

-2/5

b)

5/2

c)

22/5

d)

1

82.

$What\ is\ the\ reciprocal\ of\ \frac{4}{3}$

a)

-4/3

b)

4

c)

3/4

d)

3

83.

When I use the "Keep Change Flip Method" to divide fractions,

a)

I use the reciprocal of both fractions (first and second)

b)

I use the reciprocal of the first fraction

c)

I use the reciprocal of the second fraction

84.

$\frac{3}{4}\div\frac{8}{7}$

a)

21/32

b)

32/2

c)

24/28

d)

28/24

85.

$The\ fraction\ \frac{12}{9\ }\ is:$

a)

Simplified

b)

Not simplified

86.

$The\ fraction\ \frac{8}{5\ }\ is:$

a)

Proper

b)

Improper

87.

$The\ fraction\ \frac{4}{11}is:$

a)

Proper

b)

Improper

88.

The improper fraction $\frac{12}{5}$ Is equal to the mixed number:

a)

$\frac{2}{5}$

b)

$2\ \frac{2}{5}$

c)

$5\ \frac{2}{2}$

89.

$\frac{11}{5}\div\frac{13}{10}$

a)

$\frac{13}{22}$

b)

$\frac{22}{13}$

90.

$3\ \frac{3}{4}\div\frac{5}{8}$

a)

$\frac{1}{6}$

b)

$6$

c)

$\frac{75}{32}$

91.

$What\ is\ the\ reciprocal\ of\ \frac{4}{3}?$

a)

-4/3

b)

4

c)

3/4

d)

3

92.

Beth had 3 and 1/4 cups of milk. She used 1 and 3/4 cups of the milk to bake a cake. How many cups of milk does Beth have left?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

93.

A recipe for muffins calls for 3/4 cup of flour. Carlito is making 6 batches of muffins. How much flour does he need?
What operation do you do to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

94.

Solve this problem:
A recipe for muffins calls for 3/4 cup of flour. Carlito is making 6 batches of muffins. How much flour does he need?

a)

6 and 3/4

b)

5 and 1/4

c)

4 and 1/2

d)

8

95.

Two-thirds of the students in a class are wearing blue jeans. Two-sixths of the students who are wearing blue jeans are also wearing red shirts. What fraction of the students in the class are wearing blue jeans and red shirts?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

96.

There were 12 children at a party. Of those 12 children 3/4 of them had an apple. How many children had an apple?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

97.

Solve this problem:
There were 12 children at a party. Of those 12 children 3/4 of them had an apple. How many children had an apple?

a)

16

b)

11 and 1/4

c)

12 and 3/4

d)

9

98.

Mr. Richie’s and Mrs. Madison’s 5th grade classes each have the same number of students. During lunch, 5/8 of Mr. Richie’s class and 3/5 of Mrs. Madison’s class purchased a school lunch. How much more of Mr. Richie’s class bought a school lunch?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

99.

Penny raked 3/5 of her yard on Saturday and 1/3 of her yard on Sunday. How much of her yard did she rake?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

100.

Solve this problem:
Penny raked 3/5 of her yard on Saturday and 1/3 of her yard on Sunday. How much of her yard did she rake?

a)

1/5

b)

4/15

c)

14/15

d)

1 and 4/5

101.

A dog's food bowl holds 2 cups of dog food. Pete uses a scoop that holds 1/3 of a cup of dog food. How many scoops will it take for Pete to fill the dog bowl?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

102.

Solve this problem:
A dog's food bowl holds 2 cups of dog food. Pete uses a scoop that holds 1/3 of a cup of dog food. How many scoops will it take for Pete to fill the dog bowl?

a)

6

b)

2/3

c)

1 and 2/3

d)

2 and 1/3

103.

Solve this problem:
Diana practices the piano for 3 hours each week. She practices 1/2 hour on each of the days she practices. How many days does Diana practice each week?

a)

1 and 1/2

b)

6

c)

3 and 1/2

d)

2 and 1/2

104.

Solve this problem:
Mario is making brownies. Four-fifths of the brownies have walnuts on them. One-half of the brownies with walnuts also have peanut butter in them. What fraction of the brownies have walnuts and peanut butter?

a)

1 and 3/5

b)

3/10

c)

1 and 3/10

d)

2/5

105.

Solve this problem:
A farmer mows 1/5 of an acre each day. If his property has 3 acres, how many days will it take to mow it all?

a)

15

b)

2 and 4/5

c)

3 and 1/5

d)

3/5

Understanding Fractions and Operations

Total questions: 105

Worksheet time: 53hrs 30mins

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