The denominator of a fraction is 3 more than the numerator. If both numerator and denominator are increased by 2, the resulting fraction is 2/3. Find the fraction

Answer 1

n/(n+3) = n/d = original fraction. n= numerator, d= denominator

(n+2)/(n+3+2) = 2/3

(n+2)/(n+5) = 2/3

cross multiply

3n+6 = 2n+10

n = 4

d = 7

the original fraction was 4/7

(4+2)/(7+2) = 6/9 = 2/3