SOLUTION: The denominator of a fraction is 9 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 1/4. Wh

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Question 392125: The denominator of a fraction is 9 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 1/4. What is the original fraction?
Answer by mananth(16946) About Me  (Show Source):
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The denominator of a fraction is 9 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 1/4. What is the original fraction?
...
numerator =x
denominator = x+9
...
fraction = x%2F%28x%2B9%29
...
%28x-3%29%2F%28x%2B12%29=1%2F4
cross multiply
4(x-3)=(x+12)
4x-12=x+12
add 12
4x=x+12+12
4x=x+24
add -x
4x-x=24
3x=24
/3
x=8 the numerator
x+9= 17 the denominator
..
The fraction is +8%2F17
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m.ananth@hotmail.ca