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Math Help - Applications Using Equations with Fractions

  1. #1
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    Applications Using Equations with Fractions

    So this sounds easy but I just dont even know where to start.

    What number can be added tom both the numerator and denominator of 16/37 to produce 5/8?Let x be the number in question. What fraction is produced when x is added to both the numerator and the denominator of 16/37.
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  2. #2
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    If we let x be the number that we add to both the numerator and the denominator, i.e. \frac{16 + x}{37 + x}, this should be produce \frac{5}{8}.

    In other words, we force the two fractions to be equal and whatever value we get for x after solving the equation must be the number.

    So we want to solve: \frac{16 + x}{37 + x} = \frac{5}{8}

    Start off by cross multiplying to get: 128 + 8x = 185 + 5x

    Can you continue on?
    Last edited by o_O; August 2nd 2009 at 12:35 PM. Reason: Smile typo
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  3. #3
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    ohh ok. but if your cross multiplying, isnt 5x37=185?
    ok so then solving the answer would be 19 right?
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    Whoops, it was a typo. I was merely .. uh.. testing you

    To see if you're correct, plug in x = 19 to your original equation. Does your fraction reduce to \frac{5}{8} ?
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  5. #5
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    yes!thank you
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