Equivalent Fractions.

EQUIVALENT FRACTIONS:

The fractions, that has same value but has a different numerator and denominator.

In the above figure, the fractional parts are different but has the same value.  

FORMING EQUIVALENT FRACTIONS:

The Equivalent fraction of the given fraction can be formed either by multiplying or dividing the given fractions.

a) Forming Equivalent Fractions by using Multiplication:

1) 2/3

Solution:

The numerator and denominator of the given fraction: 2/3, doesn’t have common factor.

 To convert into equivalent fraction we need to multiply the given fraction with the same number i.e; 2.

Numerator    = 2 * 2 = 4 * 2  = 8.

Denominator = 3 * 2 = 6 * 2 = 12.

2) 3/7 =

 

3) 2/9 =

 

 

b) To Simplify the Fraction using Division:

The given fraction is simplified by dividing the numerator and denominator with the same common factor.

 

1) Simplify the fraction: 12/30.

Solution:

The numerator and denominator of the given fraction has common factor.

Numerator = 12 ÷ 2    =  6 ÷ 3  = 2.

Denominator = 30 ÷ 2 = 15 ÷ 3 = 5.

 

2) 8/12 =

 

The numerator and denominator of the given fraction has common factor.

Numerator    =  8 ÷ 2  =  4 ÷ 2  =  2.

Denominator = 12 ÷ 2 =  6 ÷ 2  =  3.