SOLUTION: The numerator of the fraction is 4 less than its denominator. If the numerator and the denominator are decreased by 3, the resulting fraction is 5/6. What is the original fraction?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The numerator of the fraction is 4 less than its denominator. If the numerator and the denominator are decreased by 3, the resulting fraction is 5/6. What is the original fraction?      Log On


   

Question 1180097: The numerator of the fraction is 4 less than its denominator. If the numerator and the denominator are decreased by 3, the resulting fraction is 5/6. What is the original fraction?

Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!




let the original fraction be a%2Fb
if the numerator of the fraction is 4 less than its denominator, we have
a=b-4
=>the original fraction be %28b-4%29%2Fb
if the numerator and the denominator are decreased by 3, the resulting fraction is 5%2F6,
%28b-4-3%29%2F%28b-3%29=5%2F6
%28b-7%29%2F%28b-3%29=5%2F6...cross multiply
6%28b-7%29=5%28b-3%29
6b-42=5b-15
6b-5b=42-15
b=27
go to
a=b-4 substitute b
a=27-4
a=23


the original fraction is 23%2F27


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%28d-4%29%2Fd, the fraction
-
%28d-7%29%2F%28d-3%29=5%2F6, the second sentence
6%28d-7%29=5%28d-3%29
6d-42=5d-15
d=42-15
highlight_green%28d=27%29
The fraction is highlight%2823%2F27%29.