SOLUTION: The denominator of a fraction is 9 more than the numerator. If the numerator is decrease by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/4. Wha
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Question 391911: The denominator of a fraction is 9 more than the numerator. If the numerator is decrease by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/4. What is the original fraction?
Found 2 solutions by robertb, mananth:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
---> ==> 2n+6 = n+11, after cross-multiplication.
==> n = 5. The original fraction is 5/13.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The denominator of a fraction is 9 more than the numerator. If the numerator is decrease 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 =
...
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
...
m.ananth@hotmail.ca
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