SOLUTION: The numerator of a fraction is 15 less than twive its denominator. If the numerator is increased by 5 and the denominator is increased by 7, the new fraction will be equal to 2/3.

Algebra ->  Rational-functions -> SOLUTION: The numerator of a fraction is 15 less than twive its denominator. If the numerator is increased by 5 and the denominator is increased by 7, the new fraction will be equal to 2/3.       Log On


   

Question 1089113: The numerator of a fraction is 15 less than twive its denominator. If the numerator is increased by 5 and the denominator is increased by 7, the new fraction will be equal to 2/3. What is the original fraction?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Fraction n%2Fd


n=2d-15
-
%282d-15%2B5%29%2F%28d%2B7%29=2%2F3


%282d-10%29%2F%28d%2B7%29=2%2F3
%28d-5%29%2F%28d%2B7%29=1%2F3
3%28d-5%29=d%2B7
3d-15=d%2B7
2d=7%2B15
2d=22
d=11

Original Fraction n%2Fd=highlight%287%2F11%29