In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is `2/3`. Find the original fraction.

Explanation

Let the numerator be `x`
Denominator`=2x−2`
The original fraction`=x/(2x-2)`
According to the question:
`(x+3)/(2x-2+3)=2/3`
`3x+9=4x−4+6`
`x=7`
Denominator`=2x-2=2times7-2=12`
`therefore` The original fraction`=x/(2x-2)=7/12`