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Fractions
Math
Middle School Math

 

Name _____________________________
Date ___________________
Fractions
Fill in the missing number.
1.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.
2.  
5

25
  =  
1
3.  
15

6
  =  


114

Write each fraction in simplest form.
4.  
3

6
5.  
11

88
6.  
10

40
7.  
18

36

Compare. Write <, >, or =.
8.  
20

25
    
506

19
9.  
10

30
    
2

6
10.  
7

9
    
6

11
11.  
2

26
    
13

29
12.  
4

10
    
3

12
13.  
2

13
    
16

17

Complete.
14.  
Place
1

2
 on the number line.
Make another fraction smaller than
1

2
.
Place the fraction you made on the number line also. Describe how you decided where to put the fractions.
15.   Explain how to expand the fraction 1/2 into a fraction with 20 as a denominator.

 

Key #2
Order the fractions from least to greatest.
16.  
6

19
  ,  
8

13
  ,  
11

18
17.  
9

17
  ,  
3

10
  ,  
2

12
18.  
2

3
  ,  
6

8
  ,  
1

4
19.  
3

11
  ,  
1

2
  ,  
11

14
20.  
4

15
  ,  
4

6
  ,  
3

9
21.  
2

5
  ,  
5

7
  ,  
7

16

Write each improper fraction as a mixed number in simplest form.
22.  
21

5
23.  
13

2
24.  
70

19
25.  
77

15
26.  
17

9
27.  
49

17
28.  
39

8
29.  
63

12

Write each mixed number as an improper fraction in simplest form.
30.  
3
2

5
31.  
2
8

12
32.  
5
1

2
33.  
4
6

11
34.  
1
11

16
35.  
6
1

3
36.  
6
8

9
37.  
5
14

18

Fill in the missing number.
38.  
5

3
  =  1


3
39.  
7

  =  3
1

2
40.  
30

7
  =  4
2
41.  
17

6
  =  
5

6

 

Key #2
Add or subtract. Write the answer in simplest form.
42.  
16
7

9
  -  9
2

9
43.  
7
1

13
  +  19
44.  
16

24
  +  
5

24

Multiply. Write the answer in simplest form.
45.  
18    
1

13
46.  
6    
5

17
47.  
19    
7

12

Multiply. Write the answer in simplest form.
48.  
3

6
    
1

2
49.  
2

11
    
10

12
50.  
8

14
    
7

17

Divide. Write the answer in simplest form.
51.  
8

11
  ÷  
14

18
52.  
5

8
  ÷  
9

12
53.  
7

17
  ÷  
2

16

 

Key #2
Divide. Write the answer in simplest form.
54.  
1  ÷  
2

10
55.  
9
13

16
  ÷  
8

12
56.  
4
2

5
  ÷  8

Add or subtract. Write the answer in simplest form.
57.  
18  -  
3

15
58.  
15  +  
7

16
59.  
11  +  
9

10

Add or subtract. Write the answer in simplest form.
60.  
3

4
  -  
4

15
61.  
2

5
  -  
1

3
62.  
5

7
  -  
4

9

Add or subtract. Write the answer in simplest form.
63.  
1
7

10
  -  
1

2
64.  
6
14

19
  -  
2

5
65.  
3
7

9
  -  2
6

8

 

Key #2
Solve. Write the answer in simplest form.
66.  
1

2
  +  w  =  
7

6
67.  
15  -  a  =  14
2

5

Solve. Write the answer in simplest form.
68.  
8
6

7
s  =  63
27

35
69.  
9m  =  9

Complete.
70.   Although playing chess doesn't intrigue John, he agreed to play a few games with Nicholas. Nicholas has a real knack for the game and easily defeated John every time they played. The first game lasted half of an hour. The second game took half of an hour and the third game was over in one and three-fourths hours. How long did it take Nicholas to defeat John all three times?
71.   The clasp on Victoria's purse was broken. She decided to go downtown to have it repaired. She told her mother that she would be back in two and two-fifths hours. As she began her descent of the stairs she looked at her watch. It was 10:46 a.m. What time should she be back at home?

Complete.
72.   Give values for a, b, c, and d to create your own division problem.
a

b
  ÷  
10

c
  =  
d

4
73.   You should know that to convert any fraction into a decimal number you can divide the numerator by the denominator. Are there any fractions where this is not strictly necessary, because you can do the conversion easily in your mind rather than perform the division?

 

Answer Key

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Fractions
Math
Middle School Math