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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**

  • math -

    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

  • math -

    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.

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