Question

The denominator of a fraction is 2 more than its numerator. If one is added
to both the numerator and their denominator the fraction becomes
3
2 . Find
the fraction.

Answer 1

let the numerator be n therefore denom=n+2
therefore fraction =(n/n+2)
Now.
(n+1/n+3)=3/2
n=......
put this in (n/n+2)
u will get required fraction

Answer 2

let the numerator of the fraction be x

denominator=x+2

fraction=x/x+2

if 1 is added

fraction=x+1/x+3

which is equal to 3/2

x+1/x+3=3/2

2x+2=3x+9

x=-7

x+2=-7+2=-5

fraction=-7/-5=7/5