Grade 4 - Progress in Mathematics

Fractions: Lowest Terms

8-7

The terms of a fraction are its numerator

and its denominator. A fraction is

in lowest terms, or simplest form, when

its numerator and denominator have

no common factor other than 1.

^25 
is in lowest terms. 
 160 
is notin lowest terms.

Factors of 2: 1 , 2 Factors of 6: 1 , 2 , 3, 6

Factors of 5: 1 , 5 Factors of 10: 1 , 2 , 5, 10

Common factor of 2 and 5: 1 Common factors of 6 and 10: 1 , 2

To rename a fraction as an equivalent fraction

in lowest terms or simplest form, divide

the numerator and the denominator by their

greatest common factor.

Write 
 1

6

0 
in lowest terms.

. 160 .
^22 
^35

So 
 1

6

0 
in lowest terms is 

3

5 
.

Complete to find the simplest form of each fraction.

1. 
   ^48 
   44 
   ??
   2.
   ^39 
   33 
   ??
   3.
   ^68 
   22 
   ??
   


2. 
   : 180 :
   ^22 
   ??
   5.
   : 192 :
   3 ?
   ??
   6.
   ^1241 
   ?^7 
   ??
   


3. 
   ^1205 
   ??
   ? 5
   8.
   ^1422 
   ??
   ? 7
   9. 
   2
   ?

16 ?

24 ?

Factors of 6: 1, 2 , 3, 6

Factors of 10: 1, 2 , 5, 10

Factors of 3: 1 , 6

Factors of 5: 1 , 5

Think

The GCF of 6 and 10 is 2.

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