Question

MathMate attempted to help but did not show how the problem is answered. It only confused the problem. Could someone else please help? Thanks.

The denominator of a fraction is 4 more than the numerator. If both the denominator and the numerator are increased by 1, the resulting fraction equals 1/2. What is the original fraction?

**Need to show all work**

Answer 1

The fraction is x/(x+4), where

(x+1)/(x+5) = 1/2
That can be rewritten
x+5 = 2(x+1)
which reduces to
x = 3

Therefore the fraction is 3/7

Answer 2

I used trial and error to come up with 3/7.

I started with 1/5 and 2/6, which of course doesn't work.