Let the numerator be n; the fraction is:
The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by one; then:
The simplified result is 6/7; then:
Solving for n:
(n + 1) x 7 = (n + 3) x 6
7n + 7 = 6n + 18
7n - 6n = 18 - 7
n = 11
The original fraction is: