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Math Help - Simplifying fractions

  1. #1
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    Simplifying fractions

    8/(9x-9) + 9(9-9x)

    Could someone walk me through how to get the answer to this question?

    I get as far as

    8/(9x-9) + 1/(1-x)

    I know the answer is 1/(9-9x) but I dont know how to get there from the above?

    Thanks.
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  2. #2
    TD!
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    Re: Simplifying fractions

    Quote Originally Posted by winner9909 View Post
    8/(9x-9) + 9(9-9x)
    I assume the fraction is missing in that last term, but you mean:

    \frac{8}{9x-9}+\frac{9}{9-9x}

    Notice that the denominators are almost equal, but you can (for example) make them equal by rewriting the second term:

    \frac{9}{9-9x} = \frac{9}{-(-9+9x)} = -\frac{9}{9x-9}

    Now you can also easily add (substract) both fractions.
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