SOLUTION: the denominator of a fraction is 6 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/7. Wh

Algebra ->  Finance -> SOLUTION: the denominator of a fraction is 6 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/7. Wh      Log On


   

Question 1108518: the denominator of a fraction is 6 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/7. What is the original fraction?
Found 2 solutions by josgarithmetic, addingup:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Fd the fraction

d%2F%28d%2B6%29 the same fraction


%28d-3%29%2F%28d%2B6%2B3%29=1%2F7



STEPS

%28d-3%29%2F%28d%2B9%29=1%2F7

7%28d-3%29=d%2B9
7d-21=d%2B9
6d=30
d=5


ORIGINAL FRACTION
5%2F11

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x/(x+6)
(x-3)/(x+3) = 1/7
7(x-3) = x+3
7x-21 = x+3
6x = 24
x = 4