Question 582271
let the fraction be x/y

x=y-4

(x-2)/(y-2) =1/2


cross multiply

2(x-2)= y-2
2x-4 = y-2
2x-y = -2+4
2x-y = 2


the two equations are x-y = -4
2x-y =2

subtract the first equation from the second

2x-y -(x-y) = 2-(-4)

x= 6

y =10

The fraction is 6/10 = 3/5