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Math Help - Help simplifying a complex fraction

  1. #1
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    Post Help simplifying a complex fraction

    Hello,
    I just started my first math class in college and its been about a year and a half since my last class in math,so Im a little rusty.
    This is a function that I need to simplify to continue working the problem. I know what to do with it once its simplified I just cant remember how to do that. Here is the fraction: 2(x+3/x-2)+3 / (x+3/x-2)-1. Please explain to me how to get this fraction less complex. Thanks in advance
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  2. #2
    Super Member 11rdc11's Avatar
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    \frac{2(\frac{x+3}{x-2}) + 3}{\frac{x+3}{x-2}-1}

    Is that what it looks like?
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  3. #3
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    Yes
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  4. #4
    Super Member 11rdc11's Avatar
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    \frac{2(\frac{x+3}{x-2}) + 3}{\frac{x+3}{x-2}-1}

    Find common denominator


    \frac{\frac{2(x+3)}{x-2} + 3}{\frac{x+3}{x-2}-1}

    \frac{\frac{2(x+3) + 3x -6}{x-2}}{\frac{x+3-x+2}{x-2}}

    Cancel out the x - 2 and get

    \frac{2(x+3) + 3x -6}{x+3-x+2}

    You should be able to finish up from here
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  5. #5
    Super Member Showcase_22's Avatar
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    This method is longer than 11rdc11's post but it's always nice to have alternative methods:



    Just substitute u back into the expression and tidy it up.
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