The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

Name Date

WORKSHEET 2.2: SIMPLIFYING FRACTIONS

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To simplify a fraction, divide the numerator and denominator by the greatest common factor

(GCF). When a fraction is simplified, the GCF of the numerator and denominator is 1.

EXAMPLE

Simplify

90

120

.

The GCF of 90 and 120 is 30.

90 ÷ 30

120 ÷ 30

=

3

4

Because the GCF of 3 and 4 is 1, the fraction is simplified.

DIRECTIONS: Simplify.

1. 
   

12

24

2. −

15

21

3. −

28

35

4. 
   

23

115

5. 
   

18

39

6. 
   

42

63

7. 
   

48

66

8. −

20

64

9. −

25

40

10. 
    

70

92

11. −

105

245

12. 
    

64

80

CHALLENGE:Sam simplified

105

120

by using 15 as the GCF. In your opinion, is

there an easier way to simplify this fraction? Explain your answer.

51

Copyright

©

2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.