The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.

Let's put it into perspective.

x / (x+5)

If increase by 3:

(x+3) / (x+8) = 3/4

Cross multiply.

4 (x+3) = 3 (x+8)

4x+12 = 3x+24

Solve algebraically.

4x-3x = 24-12

x = 12

Therefore, original fraction is:

12/17