The numerator of a fraction is 4 less than its denominator. If both the numerator and

the denominator of the fraction are increased by 2, then the resulting fraction is equal
to 3/5. What is the fraction?

original fraction:

(x-4)/x

new fraction:
(x-4)/(x+2) = 3/5
5x - 20 = 3x + 6
2x = 26
x = 13

original fraction was 9/13