The denominator of a fraction is four more than the numerator. If both the numerator and denominator are increased by 6, the simplified result is 7/9. Find the original fraction.

Answer 1

(x+6)/(x+10) = 7/9

7(x+10) = 9(x+6)

7x + 70 = 9x + 54

70 = 2x + 54

16 = 2x

x=8

8/12 is the original fraction

adding 6: 14/18 = 7/9 <-- YES!!!

the original fraction is 8/12 = 2/3