SOLUTION: The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are decreased by seven, the simplified result is 1/3 Find the original fracti

Algebra ->  Rational-functions -> SOLUTION: The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are decreased by seven, the simplified result is 1/3 Find the original fracti      Log On


   

Question 1113385: The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are decreased by seven, the simplified result is 1/3 Find the original fraction. (Do NOT simplify.)
Found 2 solutions by Alan3354, math_helper:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

19/43
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Check:
(19-7)/(2*19+5-7) = (12/36) which simplifies to 1/3.
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The workout:
Original fraction is +N%2F%282N%2B5%29+
+%28N-7%29%2F%282N%2B5-7%29+=+1%2F3+
++3N-21+=+2N-2+
++N+=+19+