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representing fractions and mixed numbers

Total questions: 129

Worksheet time: 11hrs 38mins

Name
Class
Date
1.

Write the improper fraction as a mixed number

23/5

a)

4 3/5

b)

4 5/3

c)

5 3/4

d)

4 3/4

2.

To add or subtract fractions, which condition must be met?

a)

The numerators must be the same.

b)

The fractions must both be equal

c)

The denominators must be the same

d)

You have to flip the second fraction

3.
What is equivalent to ¾?
a)
7/12
b)
15/20
c)
12/20
d)
1  1/4
4.
What is the mixed number in simplest form for 78/12?
a)
6  6/12
b)
6  1/2
c)
5  18/12
d)
7  1/2
5.
All of the following are equivalent fractions except...
a)
4/6
b)
1/2
c)
2/4
d)
4/8
6.
1/2 + 1/3
a)
1/6
b)
1/5
c)
2/5
d)
5/6
7.
1/3 + 2/5
a)
4/15
b)
4/8
c)
11/15
d)
2/8
8.
2/3 + 1/9
a)
14/18
b)
3/12
c)
3/27
d)
2/27
9.
What is the correct answer?
a)
7/3
b)
7/6
c)
9/6
d)
7/7
10.
What is the first step in solving this problem? 
⅘ + ½ =
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. 
11.
What is the least common denominator you could use to subtract 1/3 and 1/4?
a)
3
b)
4
c)
24
d)
12
12.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
13.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
14.

What is the Least Common Denominator(LCD) of 2/3 + 1/2?

a)

2

b)

3

c)

6

d)

12

15.
What is the Least Common Denominator of 1/5 + 2/10
a)
5
b)
10
c)
50
d)
15
16.
Sally ran 1/3 of a mile and swam 5/6 of a mile. In simplest form, how much farther did she swim than she ran?
a)
1/2
b)
5/18
c)
4/3
d)
3/6
17.
A plumber is fitting a water pipe that is 3/4 foot long on to a water pipe that is 2/12 foot long. How long will the finished pipe be?
a)
11/12 foot
b)
8/16 foot
c)
2/12 foot
d)
1 foot
18.
Convert the mixed fraction to a improper fraction.
a)
27 /7
b)
21 /7
c)
31 /7
d)
41/7
19.
A contractor was paving a driveway. He mixed 4/7 ton of sand and 1/3 ton of concrete. How much did the mixture weigh?
a)
1/4 ton
b)
2/5 ton
c)
5/7 ton
d)
19/21 ton
20.
Convert the mixed fraction to a improper fraction.
a)
22 /9
b)
20/9
c)
31 / 9
d)
4/6
21.
15/7= 
a)
1 3/7 
b)
2 1/7
c)
1/7 
d)
3 3/7 
22.
While making desserts for a bake sale, Lyla used 7/10 of a scoop of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did Lyla use?
a)
1 1/2
b)
2/3
c)
1/5 
d)
3/4
23.
Daniel watched a beetle and a spider on the sidewalk. The beetle crawled 1/2 of a yard and the spider crawled 1/6 of a yard. How much farther did the beetle crawl than the spider?
a)
1/4
b)
1/3
c)
1/2
d)
2/3
24.
At the neighborhood block party, Cora served 1/2 of a gallon of hot chocolate and 1/10 of a gallon of apple cider. How much hot chocolate and apple cider did Cora serve?
a)
3/5
b)
2/5
c)
2/11
d)
1/6
25.
Robert made a fruit salad with 11/12 of a pound of melon and 1/6 of a pound of berries. How many pounds of fruit did Robert use in all?
a)
1 1/12
b)
3/4
c)
2/3
d)
1 1/2
26.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
27.
6  1/4  -  2  3/4 
a)
3   1/2
b)
3  3/4
c)
4  1/2
d)
4   1/4
28.
10  3/4
-7  1/4
________
a)
3  1/4
b)
4  1/2
c)
3  1/2
d)
18
29.
7  3/7
- 2  8/21
___________
a)
5  1/21
b)
5  5/21
c)
9  11/21
d)
6  2/3
30.
9  5/9
- 6  5/6
________
a)
3  13/18
b)
3  10/18
c)
2  13/18
d)
2  1/2
31.
a)
4/5
b)
4/10
c)
2/5
d)
5
32.

What is the sum of the following equation:

2/8 + 4/8 =

a)

6/16

b)

2/8

c)

6/8

d)

2/16

33.
What is the sum of the following equation in lowest terms:
2/12 + 3/12 =
a)
1/2
b)
5/12
c)
6/12
d)
5/24
34.

What is 2/8 + 3/8 = ?

a)
b)
c)
35.

4/6 - 1/6 = ?

a)

5/6

b)

1/12

c)

3/6

d)

5/12

36.

Kayla had 1/6 of the cake and Jim had 3/6 of the cake. How much cake did they take in total?

a)

6/6

b)

2/6

c)

1/2

d)

4/6

37.
Simplify the fraction to lowest terms:
4/12
a)
2/6
b)
1/3
c)
1/6
d)
1/4
38.
  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
39.

Solve and SIMPLIFY:

2/8 + 4/8

a)

3/4

b)

6/8

c)

6/16

d)

3/8

40.
What is 1/8 + 5/8?
a)
1
b)
6/16 or 3/8
c)
6/8 or 3/4
d)
2/4 or 1/2
41.
What is 15/16 - 12/16?
a)
1/3
b)
4/16 or 1/4
c)
3/16
d)
2/16 or 1/8
42.
2/5  +1/5 + 1/5=
a)
3/15
b)
4/5
c)
2/5
d)
4/15
43.

Kayla has 3/9 of a pizza and Lille gave her 2/9 of a pizza. How much pizza does Kayla have now?

a)

5

b)

5/9

c)

1/9

d)

6/9

44.
11/16 - 3/16
a)
1/2
b)
1/4
c)
1/8
d)
1/16
45.
If you ran 3  1/4 laps in the gym and walked another 4  2/4 laps, how many laps did you go all together? 
a)
8  1/4 laps
b)
7  1/2 laps
c)
7  3/4 laps
d)
none of the above
46.

Caroline collected 3 ¼ bags of bottles to take to the recycling center.

⅓ of the bags are glass bottles

⅔ of the bags are plastic bottles


The recycling center only accepts plastic bottles. How many bags will the recycling center accept?

a)

1 ⅞

b)

1 ⅙

c)

2 ⅙

d)

3 ½

47.

Mina has ½ of a bag of popcorn. She eats half of her popcorn. How much popcorn does Mina have left?

a)

⅛ of a bag

b)

¼ of a bag

c)

½ of a bag

d)

1 bag

48.

Two-thirds of the students in Carl’s class are boys. Three-eighths of the boys are 10 years old. What fraction of the students in Carl’s class are 10 year-old boys?

a)

3/14

b)

1/4

c)

1/3

d)

3/8

49.

Find the reciprocal of ⅛

a)

8

b)

1/8

c)

16

d)

64

50.

The soccer team served sports drinks after the game. 5/8 of the bottles had orange drink. 2/3 as many had grape drink. What fraction of the bottles had grape drink?

a)

7/12

b)

5/16

c)

15/16

d)

5/12

51.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
52.
Sergio has 3/4 lb of peanuts. He divides them into 1/16-lb snack bags. How many bags does he fill?
a)
4
b)
12
c)
13
d)
20
53.
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.
54.
Mrs. Appler used ½ gallon of olive oil to make 8 identical batches of salad dressing.  How many gallons of olive oil did she use in each batch? 
a)
32 gallons
b)
16 gallons
c)
1/16 gallons
d)
1/8 gallons
55.
Mrs. Silverstein bought 3 cakes for a birthday party.  She cuts each cake into quarters (1/4) and plans to serve each guest one quarter of a cake.  How many guests can she serve with all of her cakes?
a)
1/12
b)
12
c)
20
d)
36
56.
Sandra had 1/4 of a roll of ribbon. If she makes 3 bows how much ribbon did she use on each roll?
a)
12/1 
b)
3/4
c)
1/12
d)
1/6
57.

What is the reciprocal of 5?

a)

5

b)

1/5

c)

1/15

d)

25

58.

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

59.

The Parks and Rec Dept is building a hiking trail that is 1 ¾ miles long. If they put signs every ¼ of a mile, how many signs will they need?

a)

3

b)

4

c)

6

d)

7

60.

1⅔ ÷ ⅕ =

a)

8⅓

b)

⅓

c)

1⅜

d)

5

61.

Multiplying a number by its reciprocal will always result in a product of 1. What number must be multiplied by 2⅕ to create a product of 1?

a)

11/5

b)

5/11

c)

2/5

d)

15

62.

3⅛ ⋅ ⅖ =

a)

1¼

b)

7 ⅜

c)

5

d)

⅖

63.

What is the reciprocal of 6⅔ ?

a)

20/3

b)

3/20

c)

8/1

d)

1/8

64.

A flipped fraction is called a _________.

a)

sum

b)

reciprocal

c)

improper fraction

d)

mixed number

65.

Write the fraction in simplest form: 24/72

a)

⅓

b)

⅛

c)

4

d)

12/36

66.

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

a)

4/1

b)

4

c)

40  divided by 10

d)

10 divided by 40

67.

÷\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

68.

What is 8/12 as a division expression?

a)

2/3

b)

8 + 12

c)

8 divided by 12

d)

12 divided by 8

69.

What is 2/2 x 3/2

a)

6/4

b)

5/4

c)

3

d)

5

70.

What is the product of 4/5 x 3/10?

a)

4

b)

7/15

c)

7/50

d)

12/50

71.

Madison uses 2/3 cups of flour to make her cookies. She made 3 batches. How much flour did she use?

a)

2/9

b)

6/3

c)

6/9

d)

3/6

72.

Which expression will result in a smaller answer?

a)

1/3 x 6/2

b)

1/3 x 5/4

c)

1/3 x 3/3

d)

1/3 x 2/3

73.

Which expression will result in a larger answer?

a)

7/8 x 1/2

b)

7/8 x 6/5

c)

7/8 x 3/3

d)

7/8 x 2/3

74.

Which is NOT true about the product of 100 and 1/2?

a)

The product will be greater than 100.

b)

The product will be 50

c)

The product will be less than 100.

d)

The product is 1/2 of 100.

75.

1 1/2 x 2 is the same as . . . (select all that apply)

a)

1 1/2 + 1 1/2

b)

1 1/2 x 1 1/2

c)

3 1/2

d)

3

76.

What is 1/2 of 3/4?

a)

2/3

b)

3/8

c)

3

d)

4/6

77.

What is 16 divided by 1/4?

a)

1/64

b)

4

c)

64

d)

1/16

78.

15 divided by 1/3 is the same as . . .

a)

15 - 3

b)

15 + 3

c)

15 divided by 3

d)

15 x 3

79.

5 divided by 1/6

a)

30

b)

35

c)

1/30

d)

1/35

80.

1/4 divided by 6 ?

a)

16

b)

24

c)

1/24

d)

6/4

81.
Find the product. 
a)
2/14
b)
1/49
c)
2/7
d)
1/14
82.
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
83.
Find the product.
a)
3/50
b)
30/5
c)
6
d)
1  1/5
84.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
85.
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.
86.
Change 5  3/4 into an improper fraction
a)
23/4
b)
4/23
c)
20/4
d)
5 4/3
87.
What is the recriprocal of 4/5
a)
4/5
b)
5/4
c)
5/1
d)
1/5
88.
What is the recriprocal of 5
a)
5/1
b)
1/5
89.
What is another name of flip?
a)
Flip
b)
Reciprocal
90.
3 ÷ 1/2
a)
1/6
b)
1 1/3 
c)
3
d)
6
91.
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 
92.
1/4 of 12 bottles of water
a)
4 bottles
b)
3 bottles
c)
2 bottles
d)
10 bottles
93.
Which of the following is equal to 14?
a)
1/14
b)
7/2
c)
14/1
d)
28/3
94.
Simplify: 16/30
a)
4/7
b)
8/15
c)
1/8
d)
2/7
95.
4/16 x 2/5
a)
1/3
b)
1/10
c)
8/21
d)
1/4
96.
Multiply.
a)
23/3
b)
5 3/12
c)
7 2/3
d)
92/12
97.

Determine the Volume of the rectangular Prism:

l = 10

w = 5

h = 2

a)

50

b)

10

c)

100

d)

25

98.

Determine the volume of the prism:

l = 2

w = 4

h = 3

a)

24

b)

12

c)

8

d)

6

99.

Determine the volume of the prism:

l = 4

w = 4

h = 4

a)

16

b)

32

c)

64

d)

8

100.

Determine the volume of the prism:

l = 4

w = 1

h = 2

a)

16

b)

2

c)

4

d)

8

101.

Determine the volume of the prism:

l = 4

w = 7

h = 2

a)

28

b)

56

c)

14

d)

112

102.

Determine the volume of the prism:

l = 5

w = 6

h = 9

a)

135

b)

270

c)

54

d)

30

103.

Determine the volume of the prism:

l = 10

w = 1

h = 4

a)

20

b)

10

c)

40

d)

4

104.

Determine the volume of the prism:

l = 2

w = 3

h = 10

a)

30

b)

6

c)

20

d)

60

105.

Determine the volume of the prism:

l = 10

w = 6

h = 7

a)

60

b)

42

c)

420

d)

70

106.

Determine the volume of the prism:

l = 5

w = 3

h = 2

a)

6

b)

30

c)

15

d)

10

107.

Determine the missing side of the prism:

Volume = 189

length = 9

width = ?

height = 7

a)

21

b)

27

c)

3

d)

63

108.

Determine the volume of the rectangular prism:

l = 6

w = 3

h = 5

a)

18

b)

15

c)

30

d)

90

109.

What is the formula for Volume

a)

V = L X W X H

b)

V = B X H

c)

V = (B X H)/2

d)

Both 1 & 2

110.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
111.
What is the volume of this rectangular prism?
a)
27 cubic units
b)
18 cubic units
c)
9 cubic units
d)
3 cubic units
112.
What is the volume of this rectangular prism?
a)
6 cubic units
b)
16 cubic units
c)
12 cubic units
d)
10 cubic units
113.
Which formula can be used to find the volume of a rectangular prism?
a)
length x width
b)
length x width x height
c)
height x length
d)
length + width + height
114.
Joy wants to create a box with a volume of 8 cubic units. Which dimensions would work?
a)
length: 8 units
width: 8 units
height: 8 units
b)
length: 2 units
width 4 units
height: 3 units
c)
length: 4 units
width: 2 units
height: 2 units
d)
length: 2 units
width: 4 units
height: 1 unit
115.
What is the volume of this rectangular prism?
a)
60 cubic centimeters
b)
15 cubic centimeters
c)
20 cubic centimeters
d)
6 cubic centimeters
116.
What shape is this?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
117.
Calculate the Volume
a)
84 cm3
b)
420 cm3
c)
60 cm3
d)
144 cm3
118.
The fish tank in the library is 3 feet long, 5 feet wide, and 4 feet deep.  What is the volume of the fish tank?
a)
15 cu ft
b)
20 cu ft
c)
60 cu ft
d)
15 cu ft
119.
Quinton wants to build a toy box with a volume of 16 cubic feet.  What could the dimensions be?
a)
2 x 3 x 4
b)
2 x 2 x 2
c)
2 x 3 x 3
d)
2 x 4 x 2
120.
Harry's snake lives in a tank that is 3 feet long, 3 feet wide and 4 feet tall.  What is the volume of the tank?
a)
36 cu ft.
b)
18 cu ft.
c)
10 cu ft.
d)
24 cu ft.
121.
A rectangular prism measures 3 cm long, 6 cm high and 5 cm wide.  What is the volume of the rectangular prism?
a)
30 cu cm
b)
60 cu cm
c)
90 cu cm
d)
120 cu cm
122.

Name the geometric solid

a)

cylinder

b)

cube

c)

rectangular prism

d)

pyramid

123.

Name the geometric solid

a)

cylinder

b)

cube

c)

cone

d)

pyramid

124.

Name the geometric solid

a)

cylinder

b)

cube

c)

cone

d)

pyramid

125.

Name the geometric solid

a)

cylinder

b)

cube

c)

rectangular prism

d)

pyramid

126.

What is the total volume of the figure?

a)

12 units3

b)

16 units3

c)

32 units3

d)

25 units3

127.
Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
128.
What is the volume of this prism?
a)
2 cubic in
b)
12 cubic in
c)
13 cubic in
129.
What is the volume of this prism?
a)
7 cubic units
b)
4 cubic units
c)
6 cubic units
d)
It's impossible to find

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