the denominator of a fraction is 3 more than the numerator. if both the numerator and the denominator are increased by 4, the fraction becomes 4/5. what was the original fraction?

Question

how to get the right answer?

Answer 1

Let x = numerator of the original fraction. Then, x + 3 = denominator of the original fraction.

(x+4) / (x+7) = 4/5

5(x+4) = 4(x+7)

5x + 20 = 4x + 28

x = 8

The original fraction is 8/11.