﻿ GreeneMath.com - Simplifying Fractions Test
Simplifying Fractions Test

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 GCD for two numbers

•Demonstrate the ability to simplify a fraction

Simplifying Fractions Test:

#1:

Instructions: Simplify each fraction.

a)

 39 45

b)

 32 144

c)

 105 -105

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#2:

Instructions: Simplify each fraction.

a)

 77 126

b)

 -361 152

c)

 80 130

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#3:

Instructions: Simplify each fraction.

a)

 119 49

b)

 9 -57

c)

 45 -100

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#4:

Instructions: Simplify each fraction.

a)

 154 209

b)

 13 19

c)

 80 32

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#5:

Instructions: Simplify each fraction.

a)

 -220 176

b)

 84 96

c)

 -28 119

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Written Solutions:

#1:

Solution:

a)

 13 15

b)

 2 9

c) -1

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#2:

Solution:

a)

 11 18

b)

 -19 8

c)

 8 13

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#3:

Solution:

a)

 17 7

b)

 -3 19

c)

 -9 20

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#4:

Solution:

a)

 14 19

b)

 13 19

c)

 5 2

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#5:

Solution:

a)

 -5 4

b)

 7 8

c)

 -4 17

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