Equivalent Fractions by Multiplying and Dividing Method

Proper Fraction	Improper Fraction	Like Fractions	Unlike Fractions	Decimal Fraction
Mixed Fraction	Equivalent Fractions

There are two ways of finding an Equivalent Fraction of a given fraction :- Method 1 : By Multiplying Method 2 : By Dividing Method 1 : By Multiplying : Equivalent Fraction is obtained by multiplying both numerator and denominator of the given fraction by the same number. for example 2 5 = 2 x 2 5 x 2 = 4 10 2 5 = 2 x 3 5 x 3 = 6 15 2 5 = 2 x 4 5 x 4 = 8 20 so Equivalent Fraction of 2 5 are 4 10 , 6 15 , 8 15 Method 2 : By Dividing : Equivalent Fraction is obtained by dividing both numerator and denominator of the given fraction by the same number. for example 24 36 = 24 ÷ 2 36 ÷ 2 = 12 18 24 36 = 24 ÷ 3 36 ÷ 3 = 8 12 24 36 = 24 ÷ 4 36 ÷ 4 = 6 9 so Equivalent Fraction of 24 36 are 12 18 , 8 12 , 6 9 How to check that two fractions are equivalent ? Two fractions are said to be equivalent when the cross-multiplication, i.e numerator of one fraction is multiplied with denominator of other fraction, gives equal result. Let's cross check the below two fractions and find whether both of these are equivalent 2 5 = 4 10 cross multiply both the fractions, and we get : 2 × 10 = 4 × 5 20 = 20 Since, L.H.S = R.H.S So, we can say that both the fractions are equivalent. Study More Solved Questions / Examples Find equivalent fraction of the following A) 4 9 with denominator 27 B) 36 16 with denominator 8 C) 4 5 with denominator 24 D) 100 26 with denominator 50 Find the missing equivalent fraction A) 12 20 =    5 = 6 10 = 30   B) 24 18 =    3 = 8