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Math Help - Simplifying Fraction

  1. #1
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    Simplifying Fraction

    Hey all I'm new here and a bit green with my algebra, could somebody show me step by step how to answer this question on simplification?

    (2/y - 1/xy)/(4/x)

    its been annoying me for a while and i havent found a solution on how to do it.

    thanks in advance,
    Mitch
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  2. #2
    MHF Contributor

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    Step 1: get common denominator and combine the two fractions in the parentheses: (2/y- 1/xy)(4/x)= (2x/xy- 1/xy)(4/x)= ((2x-1)/xy)(4/x)

    Step 2: multiply the two fractions: (4(2x-1))/x^2y which can also be written (8x-4)/x^2y by multiplying the "4" inside "(2x-1).
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    (2/y- 1/xy)(4/x)


    That is (2/y- 1/xy) / (4/x) u mean?

    thanks for the response
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  4. #4
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    I haven't done simplification in a while, so forgive me if I'm wrong..

    (2/y-1/xy)/(4/x) = x(2/y-1/xy)/4 = (2x/y - x/xy)/4 = (2x/y-1/y)/4 = (2x-1/y)/4 = (2x-1)/4y

    That as simple as you need it?
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