SOLUTION: if 1 is subtracted from the numerator of a fraction the resulting fraction is 1/3. If 2 is subtracted from the denominator, the resulting fraction is 1/2. find the original fractio

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: if 1 is subtracted from the numerator of a fraction the resulting fraction is 1/3. If 2 is subtracted from the denominator, the resulting fraction is 1/2. find the original fractio      Log On


   

Question 1084139: if 1 is subtracted from the numerator of a fraction the resulting fraction is 1/3. If 2 is subtracted from the denominator, the resulting fraction is 1/2. find the original fraction
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The fraction n%2Fd

system%28%28n-1%29%2Fd=1%2F3%2Cn%2F%28d-2%29=1%2F2%29

highlight%285%2F12%29



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STEPS

3%28n-1%29=d
3n-3=d
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2n=d-2
2n=%283n-3%29-2
2n=3n-3-2
0=n-5
n=5, numerator
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d=3n-3
d=3%2A5-3
d=15-3
d=12, denominator