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Math Help - Help with reducing fraction please!

  1. #1
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    Help with reducing fraction please!

    Hi! Okay, I have this fraction. The instructions specifically say "simplify for all values of a for which the expression is defined", which I'm guessing is a fancy way of asking you to reduce it:
    \frac{1-\frac{2}{a}}{\frac{4}{a^2}-1}

    I multiplied top and bottom by a^2 and got this:

    \frac{a^2-2a}{4 - a^2}

    I'm really stuck now. Any help is very much appreciated! Thank you!
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  2. #2
    MHF Contributor red_dog's Avatar
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    \frac{a^2-2a}{4-a^2}=\frac{a(a-2)}{(2-a)(2+a)}=-\frac{a}{a+2}
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  3. #3
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    ...Oh man, thanks so much! It seems really obvious now. Ugh, I had the most ridiculously complex attempts scribbled all over my paper. Thanks again!
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