6th Grade Math Textbook, Progress

Fractions in Simplest Form

6-6

A fraction is in simplest form, or lowest terms, when the

numerator and denominator have no common factor other than 1.

Cass and Arti surveyed 32 classmates to

find out when they did their homework. The

results showed that 20 out of 32 (


2

3

0

2


) of

the students did homework after dinner.

Rename this fraction in simplest form.

To rename a fraction as an equivalent fraction

in simplest form:


 Find the GCF of the factors of 20: 1, 2, 4 , 5, 10, 20

numerator and the factors of 32: 1, 2, 4 , 8, 16, 32

denominator.

GCF of 20 and 32: 4


 Divide the numerator

and the denominator 
^2302 

^2302 
^44 
^58 


by their GCF.

The simplest form of 
^2302 
is 
^58 
.

Write the letter of the GCF of the numerator and the

denominator of each fraction.

0 1. 
^36 
 a. 1 b. 6 c. 3 d. 18

0 2. 
^78 
 a. 7 b. 1 c. 8 d. 14

0 3. 
^1102 
 a. 10 b. 12 c. 2 d. 1

0 4. 
^2455 
 a. 25 b. 9 c. 5 d. 1

0 5. 
 1

8

0

0


 0 a. 20 b. 10 c. 50 d. 2

0 6. 
 1

1

3

1


 2 a. 1 b. 11 c. 132 d. 12

2

3

0

2

^44 
1, so the quotient

is still equal to 
^2302 
.

2.4

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