Question

The numerator of a fraction is 1 less than the denominator. If numerator is decreased by 2 and denominator is increased by 3, the fraction becomes 1/4. Find the fraction.

Answer 1

let the denominator be x 
numerator = x-1

according to problem, 

if, 
                  (x-1-2)/(x+3) = 1/4
                  (x-3)/(x+3) = 1/4
                  4x-12 = x+3
                  3x = 15
                  x = 5
fraction = 4/5