Question

find the equivalent fraction of 5by6 having denominator 64​

Answer 1

Answer:

To find the equivalent fraction of a fraction we need to multiply or divide the numerator and the denominator of a fraction with the same number .

So to find the equivalent fraction of 5/6 we have to multiply or divide both of them - 5 and 6 with the same number .

The denominator of the equivalent fraction has already been given , which is 64 .

Since the new equivalent fraction's denominator is greater than the fraction 5/6 , it is clear we are getting it by multiplying 5/6 with an another fraction .

Let us name the unknown numerator as x .

So to find what number has been multiplied with 6 to get 64 , we can use the cross multiplication method . which means ,

In a fraction 5/6 = x/64

= 5/6 = x/64

= 5 × 64 = 6 × x

= 5 × 64 = 6x

= 320 = 6x

= x = 320 ÷ 6

= x = 53

Hence the value of the unknown numerator is 53 .

Therefore , the equivalent fraction of 5/6 with denominator 64 will be = 53/64 .

Hope you find my answer useful!!!