About Simplifying Fractions:

When we simplify a fraction (also known as reducing a fraction to its lowest terms) we cancel all common factors between the numerator and denominator. For example, the fraction four-eighths is the same as one-half. We can cancel a common factor of four between numerator and denominator.


Test Objectives
  • Demonstrate the ability to find the prime factorization of a whole number
  • Demonstrate the ability to find the GCF for two numbers
  • Demonstrate the ability to simplify a fraction
Simplifying Fractions Practice Test:

#1:

Instructions: Simplify each fraction.

a)

39
45

b)

 32
144

c)

 105
-105

#2:

Instructions: Simplify each fraction.

a)

 77
126

b)

-361
 152

c)

 80
130

#3:

Instructions: Simplify each fraction.

a)

119
 49

b)

  9
-57

c)

  45
-100

#4:

Instructions: Simplify each fraction.

a)

154
209

b)

13
19

c)

80
32

#5:

Instructions: Simplify each fraction.

a)

-220
 176

b)

84
96

c)

-28
119

Written Solutions:

#1:

Solutions:

a)

13
15

b)

2
9

c) -1


#2:

Solutions:

a)

11
18

b)

-19
  8

c)

 8
13

#3:

Solutions:

a)

17
 7

b)

-3
19

c)

-9
20

#4:

Solutions:

a)

14
19

b)

13
19

c)

5
2

#5:

Solutions:

a)

-5
 4

b)

7
8

c)

-4
17