Question 656289
Let the fraction be N/D
                    
D= N-7(given)
fraction:N/N-7   ..1
When N+3/D+3 = 15/8
            
 N+3/N-7+3 =15/8
 N+3/N-4 = 15/8
 On cross- multiplication,
 8*(N+3) = 15*(N-4)
 8N+  24 = 15N - 60
 24+60 = 15N -8N
 7N = 84
 N= 84/7
 N= 12
 D= N-7
 D= 12-7= 5
So the original fraction is 12/5