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Math Help - find the value of the fraction..

  1. #1
    rcs
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    find the value of the fraction..

    A given fraction has a value of 3/8. find the value of this fraction, such that when 43 is added to both its numerator and denominator, will result to a new fraction of value 4/9..


    can anybody check my work... please


    do i have to add 3 + 4 / 8 + 4 = 7/12? what will i do with 4/9? thanks
    please do me a favor...
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  2. #2
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    N = Numerator
    D = Denominator

    \frac{N}{D} = \frac{3}{8}


    \frac{N+43}{D+43} = \frac{4}{9}

    Compare this very carefully to the text of the problem statement.
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  3. #3
    rcs
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    sir/ maam:

    where is 43 coming from?
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by rcs View Post
    sir/ maam:

    where is 43 coming from?
    Quote Originally Posted by rcs View Post
    A given fraction has a value of 3/8. find the value of this fraction, such that when 43 is added to both its numerator and denominator, will result to a new fraction of value 4/9..
    It comes from the problem statement.

    -Dan
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  5. #5
    rcs
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    i still couldn't figure out the fraction
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  6. #6
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    First, determine what N is in terms of D as follows:
    \frac{N}{D}=\frac{3}{8}\Longrightarrow N=\frac{3D}{8}
    Then you use the other equation to solve for D, and put the fraction \frac{3D}{8} in instead of N, like this:
    \frac{N+43}{D+43}=\frac{4}{9}\Longrightarrow \frac{\frac{3D}{8}+43}{D+43}=\frac{4}{9}

    Then when you have D, you just use the value you get for D to solve for N.
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