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Math Help - help understanding simplification

  1. #1
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    help understanding simplification

    hi, i am having trouble understanding some simplification my book is using. They take [3x/(3x-2)] and turn it into 1+[2/(3x-2)], can someone please explain how they did that?
    thank you
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    Quote Originally Posted by cowboys111 View Post
    hi, i am having trouble understanding some simplification my book is using. They take [3x/(3x-2)] and turn it into 1+[2/(3x-2)], can someone please explain how they did that?
    thank you
    You can do a long division on it, or use a little trick:
    \frac{3x}{3x - 2} = \frac{3x - 2 + 2}{3x - 2} = \frac{3x - 2}{3x - 2} + \frac{2}{3x - 2}

    = 1 + \frac{2}{3x - 2}

    Make sure you learn how to do the long division method as well.

    -Dan
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    awesome! thank you
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