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