Question 205932
Let d=denominator & n=numerator
d=n-4
.
n/d original fraction
(n+6)/2d new fraction.
n/d + (n+6)/2d = 3
2n+n+6=6d Multiply each side by 2d (LCM) to eliminate fractions.
3n+6=6d
3n+6=6(n-4) Substitute n-4 for d.
3n+6=6n-24
3n=30
n=10
d=6
.
10/6 original fraction
.
Ed