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Worksheets

Fractions

Total questions: 96

Worksheet time: 6hrs 28mins

Name
Class
Date
1.
Reduce the following fraction:
16/20 =
a)
8/10
b)
4/5
c)
1/2
d)
16/20
2.
Reduce the following fraction:
36/44
a)
9/11
b)
6/7
c)
4/9
d)
18/22
3.
Reduce the following fraction:
25/55
a)
2.5/5.5
b)
1/3
c)
5/11
d)
3/5
4.
Change the following mixed number into an improper fraction:
3   4/5 =
a)
19/5
b)
12/5
c)
it already is an improper fraction
d)
32/5
5.
Change the following mixed number into an improper fraction:
5  7/8
a)
20/8
b)
5/2
c)
47/8
d)
it already is an improper fraction
6.
Change the following improper fraction into a mixed number:
34/3
a)
12  1/3
b)
11  1/3
c)
10  1/3
d)
it already is a mixed number
7.
Reduce the following fraction:
75/81
a)
25/27
b)
4/5
c)
26/27
d)
it cannot be reduced any further
8.
Please solve the addition problem and then simplify:
3/4 + 3/4
a)
1  1/2
b)
6/4
c)
3/2
d)
1  2/4
9.
What fraction of the rectangle is NOT shaded in?
a)
1/4
b)
1/3
c)
2/4
d)
3/4
10.
The number on the top of a fraction is called what?
a)
numerator
b)
denominator
11.
True or False: You need common denominators when multiplying fractions. 
a)
True
b)
False
12.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
13.
If you color in 2 more slices what is the fraction?
a)
3/8
b)
6/8
c)
5/8
d)
5/9
14.
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. 
15.
a)

5 1/2

b)

1 1/6

c)

5 5/14

d)

4 1 9/24

16.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
17.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
18.
a)
3/20
b)
1/1
c)
3/9
d)
1/9
19.
8/9 - 1/3 = 
a)
7/6
b)
5/9
c)
2/3
d)
8/27
20.
What is the difference of 7/8 - 1/3?
a)
6/5
b)
8/11
c)
6/8
d)
13/24
21.
3 x 1/2=
a)
2/3
b)
7/2
c)
3/2
d)
3/6
22.

1/8 x 2/3 = ? Find the product. Then, simplify.

a)

2/24

b)

3/24

c)

1/12

d)

3/16

23.

5/6 x 2/3 = ? Find the product. Then, simplify.

a)

10/18

b)

5/9

c)

10/6

d)

15/12

24.
a)
8  1/35
b)
8  12/35
c)
9
d)
8  4/15
25.
a)
4
b)
4  7/10
c)
5  1/2
d)
5  7/10
26.
a)
15  3/4
b)
12  3/20
c)
15
d)
12  19/20
27.
a)
7  1/2
b)
30/49
c)
6  1/2
d)
6  1/14
28.
12 x ⅓ =
a)
4
b)
36
c)
⅞
d)
1/36
29.
5 x ¼ =
a)
⅚
b)
1 ¼
c)
¾
d)
20
30.
2 3/4 × 12 =
a)
33
b)
24 3/4
c)
24 1/3
d)
120
31.
3⁄4 ÷ 1⁄2 =
a)
3⁄2
b)
6⁄8
c)
3⁄8
d)
1⁄2
32.
2⁄5 ÷ 2⁄5 =
a)
4⁄10
b)
2⁄5
c)
1
d)
5
33.
3⁄7 ÷ 2⁄5 =
a)
6⁄35
b)
15⁄14
c)
14⁄15
d)
1⁄7
34.
3⁄4 ÷ 41⁄2 =
a)
27⁄8
b)
36⁄6
c)
1⁄6
d)
6
35.

2⁄3 × 3⁄8 =

a)

6⁄8

b)

9⁄16

c)

6⁄24

d)

6⁄21

36.
18/45 simplifies to...
a)
6/15
b)
5/8
c)
2/5
d)
1/4
37.
Divide these fractions
a)
8 / 2
b)
54 / 4
c)
9 / 2
d)
9 / 24
38.
I have an 20 pound bag of dog food. If it is 2/3 full right now, how much dog food is in the bag?
a)
13  1/3 pounds
b)
30 pounds
c)
19  1/3 pounds
d)
12  2/3 pounds
39.
What is the least common denominator for 6/7 and 1/2?
a)
12
b)
14
c)
7
d)
6
40.
What is the reciprocal of 2/3?
a)
2/3
b)
1/4
c)
3/2
d)
4/6
41.
What is the reciprocal of 6?
a)
6
b)
12/6
c)
1/6
d)
.6
42.
What is the reciprocal of      2   1/4?
a)
9/4
b)
4/9
c)
2    2/8
d)
18/8
43.
What is the reciprocal of       1    2/3?
a)
5/3
b)
1  4/6
c)
6/8
d)
3/5
44.
Solve. 
1/4x = 6
a)
24
b)
1/24
c)
-24
d)
10
45.
Solve.
2/5x = 4
a)
1/10
b)
-10
c)
10
d)
-1/10
46.
c + 11/20 = 3/4
a)
4/20
b)
2/5
c)
1/5
d)
4/21
47.
x + 11/2  = 53/4
a)
x = 4 1/4
b)
x = 4 5/4
c)
x = 4 2/2
d)
x = 5
48.
x - 5/6  = 10
a)
x = 10 5/6
b)
x = 9 1/6
c)
x = 9 5/6
49.
y + 7/16 = 19/32
a)
1/16
b)
- 1/16
c)
- 5/32
d)
5/32
50.
m + 5 1/4 = 14
a)
9 1/4
b)
9 3/4
c)
8 1/4
d)
8 3/4
51.
a)
x=  9   1/3
b)
x = 21/4
c)
x = 5    1/4
d)
None of the above
52.
a)
c = 18/10
b)
c = 9/20
c)
c = 1   4/5
d)
none of the above
53.
Solve 2/3 n = 45
a)
n = 15
b)
n = 67.5
c)
n = 30
d)
n = 50
54.
(2/9)x = 12
a)
x=108
b)
x=8/3
c)
x=-108
d)
x=54
55.
a)
7
b)
-16
c)
4
d)
-15
56.
a)
-14/9
b)
-9/14
c)
-21/6
d)
6/21
57.
Solve this problem:
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?
a)
1 and 6/7
b)
5 and 11/16
c)
5
d)
1 and 1/2
58.
Snow fell in Monroe twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Monroe on that day?
a)
1/8
b)
3/10
c)
5/8
d)
7/8
59.
A recipe needs 3/4 cup of sugar. If the recipe is doubled, how much sugar is needed?
a)
1
b)
1 1/2
c)
1  3/4 
d)
2
60.
Nancy had 1 1/2 boxes of bubble gum. Each box had 1/2 grape flavor and 1/2 strawberry flavor. How much of the gum was grape flavored?
a)
1/2
b)
3/4
c)
1 box
d)
2 box
61.
Five friends shared 1  1/2 pounds of fudge equally. How much did each friend get?
a)
add
b)
divide
c)
subtract
d)
multiply
62.
Rachel had 1/8 bag of popcorn. Ethan had 2/3 bag of popcorn. How much popcorn did they have altogether? What operation will you use to answer the question?
a)
add
b)
subtract
c)
multiply
d)
divide
63.
Kelly has 2 1/2 feet of fabric, she needs 1/4 of a foot to make each ribbon.  How many ribbons can she make?
a)
5
b)
⅝
c)
10
d)
12
64.
A section of Benji's is a rectangle that measures 5 1/2 yards by 8 yards.  How many square yards does Benji have to mow?
a)
40 ½
b)
35
c)
11/16
d)
44
65.
Tyson read for 2/3 hour today. He read for 3/5 hour yesterday. How many hours did Tyson read in all?
a)
5/8 hours
b)
1 4/15 hours
c)
1 11/15 hours
d)
2 4/15 hours
66.
3.  Mitchell has a small bag with twelve M&Ms in it.  Five of the M&Ms are yellow. Two are green. One is orange. Four are brown.  What fraction of the M&Ms are brown?
a)
5/12
b)
2/12
c)
1/12
d)
4/12
67.

5/7 + (-9/7)

a)

-4/7

b)

-7/4

c)

4/7

d)

-7/4

68.

-13/8 + 7/8

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

69.

11/6 - (-7/6)

a)

-3

b)

1/3

c)

-1/3

d)

3

70.

-5/8 - (-15/8)

a)

5/4

b)

-5/4

c)

4/5

d)

-4/5

71.

-7/4 - 3/4

a)

5/2

b)

2/5

c)

-5/2

d)

-2/5

72.

5/7 - 9/7

a)

4/7

b)

-4/7

c)

7/4

d)

-7/4

73.

-5/3 + 3/4

a)

-11/12

b)

11/12

c)

12/11

d)

-12/11

74.

2/5 + (-4/3)

a)

15/14

b)

-14/15

c)

-15/14

d)

14/15

75.

-5/6 - 1/2

a)

4/3

b)

-3/4

c)

3/4

d)

-4/3

76.

1/2 - 4/7

a)

-14

b)

-1/14

c)

14

d)

1/14

77.

-13/7 - (-3/4)

a)

31/28

b)

28/31

c)

-31/28

d)

28/31

78.

 −123 × 45-1\frac{2}{3}\ \times\ \frac{4}{5}  
Simplify the expression.

a)

 −113-1\frac{1}{3}  

b)

 1131\frac{1}{3}  

c)

 −2112-2\frac{1}{12}  

d)

 21122\frac{1}{12}  

79.

Simplify the expression
 −1314 × (−6)-\frac{13}{14}\ \times\ \left(-6\right)  

a)

 5475\frac{4}{7}  

b)

 −547-5\frac{4}{7}  

c)

 1384\frac{13}{84}  

d)

 −1384-\frac{13}{84}  

80.

Simplify the expression
 556 × (−235)5\frac{5}{6}\ \times\ \left(-2\frac{3}{5}\right)  

a)

 −1516-15\frac{1}{6}  

b)

 151615\frac{1}{6}  

c)

 219782\frac{19}{78}  

d)

 −2 1978-2\ \frac{19}{78}  

81.

Simplify the expression
 −4 × (−9 13)-4\ \times\ \left(-9\ \frac{1}{3}\right)  

a)

 37 1337\ \frac{1}{3}  

b)

 −37 13-37\ \frac{1}{3}  

c)

 −3112-\frac{3}{112}  

d)

 −37-\frac{3}{7}  

82.

Simplify the expression.
 67 ÷ 1412\frac{6}{7}\ \div\ \frac{14}{12}  

a)

 3649\frac{36}{49}  

b)

 −3649-\frac{36}{49}  

c)

1

d)

 1271\frac{2}{7}  

83.

Simplify the expression:
 −15 ÷ 1011-15\ \div\ \frac{10}{11}  

a)

 −16 12-16\ \frac{1}{2}  

b)

 16 1216\ \frac{1}{2}  

c)

 −13 711-13\ \frac{7}{11}  

d)

 13 71113\ \frac{7}{11}  

84.

 −514 ÷ −1 37-\frac{5}{14}\ \div\ -1\ \frac{3}{7}  

a)

 −14-\frac{1}{4}  

b)

 14\frac{1}{4}  

c)

 −2549-\frac{25}{49}  

d)

 2549\frac{25}{49}  

85.

Simplify the expression:
 −1 13 ÷(−2 34)-1\ \frac{1}{3}\ \div\left(-2\ \frac{3}{4}\right)  

a)

 1633\frac{16}{33}  

b)

 −1633-\frac{16}{33}  

c)

 3 233\ \frac{2}{3}  

d)

 −3 23-3\ \frac{2}{3}  

86.

Simplify the expression:
 −12×(−18) ÷ 34-\frac{1}{2}\times\left(-\frac{1}{8}\right)\ \div\ \frac{3}{4}  

a)

 − 112-\ \frac{1}{12}  

b)

 112\frac{1}{12}  

c)

 18\frac{1}{8}  

d)

 −18-\frac{1}{8}  

87.

Simplify the expression:
 −810 ÷ (−12) ÷ (−23) -\frac{8}{10}\ \div\ \left(-\frac{1}{2}\right)\ \div\ \left(-\frac{2}{3}\right)\   

a)

 −2 25-2\ \frac{2}{5}  

b)

 2 252\ \frac{2}{5}  

c)

 1516\frac{15}{16}  

d)

 −1 115-1\ \frac{1}{15}  

88.

Simplify the expression
 1 15 + (−2 25) ÷ (−35) 1\ \frac{1}{5}\ +\ \left(-2\ \frac{2}{5}\right)\ \div\ \left(-\frac{3}{5}\right)\   

a)

2

b)

1

c)

 5 155\ \frac{1}{5}  

d)

 2 16252\ \frac{16}{25}  

89.
Evaluate the expression. Write the answer in simplest form. 
4/5 + 2/5 ÷ 4
a)
2/5
b)
6/5
c)
9/10
d)
2
90.
Evaluate the expression. Write the answer in simplest form. 
3/8 ÷ 3/4 - 1/6
a)
1/8
b)
1/6
c)
1/4
d)
1/3
91.
Evaluate the expression. Write the answer in simplest form. 
8/9 ÷ 2 ÷ 8
a)
1/18
b)
8/18
c)
2  1/18
d)
6
92.
Evaluate the expression. Write the answer in simplest form. 
1  1/2 ÷  1/6 - 7/8
a)
1  7/8
b)
5   5/6
c)
8  1/8
d)
9
93.
Evaluate the expression. Write the answer in simplest form. 
2/3 - 1  4/7 ÷ 4  5/7
a)
1/3
b)
2/3
c)
1   1/3
d)
3   4/7
94.
What is the first step in solving this problem:
-2 ⋅ (3 + 8 ÷ 4)2
a)
multiplication
b)
addition
c)
division
d)
subtraction
95.
Simplify the following:
-2 ⋅ (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
96.
Simplify the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75