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Math Help - Fraction problem........

  1. #1
    Senior Member
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    Fraction problem........

    Hello I need to make this red fraction as one
    In the photo attached

    The correct answer should be
    (x-2)/x^2

    Can someone show me where I went wrong (green answer)Please
    Attached Thumbnails Attached Thumbnails Fraction problem........-fracp.jpg  
    Last edited by wolfhound; January 22nd 2010 at 08:53 AM.
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello wolfhound
    Quote Originally Posted by wolfhound View Post
    Hello I need to make this red fraction as one
    In the photo attached

    The correct answer should be
    (x-2)/x^2

    Can someone show me where I went wrong (green answer)Please
    Your answer isn't wrong - it just isn't in its lowest terms. In other words, it will cancel - and it cancels to the correct answer: \frac{x-2}{x^2}.

    The reason you didn't get it in its lowest terms is that you didn't find the lowest common denominator. The denominators are:
    x and x^2
    and the lowest common denominator is simply x^2. So when you're combining the two fractions, you don't need to change the second one at all. You get this:
    \frac{1}{x}-\frac{2}{x^2} =\frac{1}{x}\times\color{red}\frac{x}{x}\color{bla  ck}-\frac{2}{x^2}
    =\frac{x}{x^2}-\frac{2}{x^2}

    =\frac{x-2}{x^2}
    Do you see how it works?

    Grandad
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  3. #3
    Senior Member
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    Smile

    Yes I see now, Thank you
    I didn't know that I should multipy by x/x
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