SOLUTION: please help solve: The denominator of a fraction is 1 more than the numerator. If both the numerator and denominator are decreased by 3, the resulting fraction is equal to 4/5 . F

Algebra ->  Graphs -> SOLUTION: please help solve: The denominator of a fraction is 1 more than the numerator. If both the numerator and denominator are decreased by 3, the resulting fraction is equal to 4/5 . F      Log On


   

Question 1095579: please help solve:
The denominator of a fraction is 1 more than the numerator. If both the numerator and denominator are decreased by 3, the resulting fraction is equal to 4/5 . Find the fraction.
Thank you!
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
n%2F%28n%2B1%29 original fraction


%28n-3%29%2F%28n%2B1-3%29=4%2F5

%28n-3%29%2F%28n-2%29=4%2F5

5%28n-3%29=4%28n-2%29

5n-15=4n-8

n=15-8

n=7


FRACTION originally, highlight%287%2F8%29

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!

If the resulting fraction is 4/5 after 3 is subtracted from both numerator and denominator in the original fraction, then add 3 to the numerator and denominator of the resulting fraction to get back to the original fraction. The original fraction is
%284%2B3%29%2F%285%2B3%29+=+7%2F8