The numerator of a rational number is 3 less than the denominator. IF the denominator is increased by 5 and the numerator by 2, we get the rational number 1/2 .. Find the rational number.

Explanation

Let denominator of the given rational number`=x`
Numerator`=x-3`
Rational number`=(x-3)/x`
According to the question:
`(x-3+2)/(x+5)=1/2`
`(x-1)/(x+5)=1/2`
`2(x-1)=(x+5)`
`2x-x=5+2`
`x=7`
`therefore` Rational number`=(x-3)/x=(7-3)/7=4/7`