The numerator of a fraction is 6 less than the denominator. If 3 is added to the numberator, the fraction is equal to 2/3,

Question

The numerator of a fraction is 6 less than the denominator. If 3 is added to the numberator, the fraction is equal to \(\frac23\), What is the original fraction equal to?

Answer 1

Let the denominator is x

Numerator is x - 6

Fraction is : \(\frac{Numetator}{Denominator}=\frac{x-6}x\)

According to the question:

Therefore denominator is = 9

Numerator is = x - 6 = 9 - 6 = 3

Fraction is = \(\frac 39=\frac13\)