Question

In a certain​ fraction, the denominator is less 7 than the numerator. If 3 is added to both the numerator and​ denominator, the resulting fraction is equal to 15/8

. Find the original fraction.

Answer 1

original fraction =12/5

Explanation:

let x = numerator

therefore

x+3/x-7+3 =15/8

x+3/x-4 =15/8

8(x+3)=15(x-4)

8x+24=15x-60

84=7x

84/7=x

12=x

therefore original fraction = 12/5