The numerator of a fraction is 4 less than denominator. If 1 is added to both its numerator and denominator, it becomes ½. Find the fraction.

Explanation

Let the denominator be = x
Let the numerator=denominator-4 `=x-4`
therefore
`(x-4+1)/(x-1)=1/2`
`(x-3)/(x+1)=1/2`
`2x-6=x+1`
`2x-x=1+6`
`x=7`
Numerator (N)=denominator-4
`N=x-4`
`=7-4`
`=3`
fraction=`3/7`