SOLUTION: if the numerator of a fraction is decreased by 1,its value become 1/3.if the denominator of it is increased by 3,the value becomes 1/3.what is the fraction?

Algebra ->  Finance -> SOLUTION: if the numerator of a fraction is decreased by 1,its value become 1/3.if the denominator of it is increased by 3,the value becomes 1/3.what is the fraction?      Log On


   

Question 1034306: if the numerator of a fraction is decreased by 1,its value become 1/3.if the denominator of it is increased by 3,the value becomes 1/3.what is the fraction?
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if the numerator of a fraction is decreased by 1,its value become 1/3.if the denominator of it is increased by 3,the value becomes 1/3.what is the fraction?
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Let the fraction be a/b
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Equations:
(a-1)/b = 1/3
a/(b+3) = 1/3
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Rearrange:
3a -3 = b
3a = b + 3
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Rearrange for elimination:
3a - b = 3
3a - b = 3
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b = 3a-3
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Answer:: The fraction is a/(3(a-1)) where a is any number except 1.
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
if the numerator of a fraction is decreased by 1,its value become 1/3.if the denominator of it is increased by 3,the value becomes 1/3.what is the fraction?
The fraction is any numerator-integer (N) except 1, and a denominator that is equal to 3N – 3.