SOLUTION: The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by ten, the simplified result is 9/10. Find the original fraction. (Do

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by ten, the simplified result is 9/10. Find the original fraction. (Do      Log On


   

Question 1059310: The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by ten, the simplified result is 9/10. Find the original fraction. (Do NOT simplify.)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The described unknown fraction, x%2F%28x%2B2%29;

Second part of description:
%28x%2B10%29%2F%28x%2B2%2B10%29=9%2F10


%28x%2B10%29%2F%28x%2B12%29=9%2F10

10%28x%2B10%29=9%28x%2B12%29

10x%2B100=9x%2B108

x=8

Original Fraction is highlight%288%2F%288%2B2%29%29;
and why would you not simplify?
8%2F%288%2B2%29
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highlight%288%2F10%29-----this far, still just as good, but.....
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4%2F5---------because the other parts of the description will not work;

%284%2B10%29%2F%285%2B10%29=14%2F15%3C%3E9%2F10-------interesting!!

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by ten, the simplified result is 9/10. Find the original fraction. (Do NOT simplify.) 
The original fraction is: highlight_green%288%2F10%29