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Simplifying Fractions Test
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 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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