Question

What is the common denominator of 2/3 3/4 and 2/5.

Answer 1

Given fractions are 2/3,3/4 and 2/5.

List the multiples of denominators.

Multiples of 3 are 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,..

Multiples of 4 are 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,..

Multiples of 5 are 5,10,15,20,25,30,35,40,45,50,55,60,65,..

Least common denominator of given fractions is 60.

 

 

Answer 2

Write the prime factorization of each denominator.

3 = 1 * 3 = 3¹

4 = 2 * 2 =2²

5 = 1 * 5 = 5¹

Multiply highest power of each factor in the either number.

L.C.D = 2² * 3¹ * 5¹ 

           = 60