SOLUTION: The denominator of a fraction exceeds the numerator by 4. When 3 added to both the numerator and the denominator, the fraction becomes 4/5, find the fraction.

Algebra ->  Equations -> SOLUTION: The denominator of a fraction exceeds the numerator by 4. When 3 added to both the numerator and the denominator, the fraction becomes 4/5, find the fraction.      Log On


   

Question 783315: The denominator of a fraction exceeds the numerator by 4. When 3 added to both the numerator and the denominator, the fraction becomes 4/5, find the fraction.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B3%29%2F%28%28x%2B4%29%2B3%29=4%2F5
%28x%2B3%29%2F%28x%2B7%29=4%2F5
5%28x%2B3%29=4%28x%2B7%29
5x%2B15=4x%2B28
x=13

The fraction is 13%2F17.