Question

The denominator of a fraction is 7 less than 3 times the numerator. If the fraction is equivalent to 2/5, what is the numerator of the fraction?

Answer 1

the numerator of the fraction is 14

Explanation:

Let x be the numerator of the fraction

The denominator of a fraction is 7 less than 3 times the numerator

denominator is 3 times of numerator -7

denominator is 3x-7

numerator by denominator = 2/5

`(x)/(3x-7) =(2)/(5)`

cross multiply it

`5x=2(3x-7)`

`5x=6x-14`

subtract 6x from both sides

`-1x=-14`

divide both sides by -1

x=14

so the numerator of the fraction is 14