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Math Help - Simplifying this complex fraction

  1. #1
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    Simplifying this complex fraction

    \frac{m-\frac{1}{2m+1}}{1-\frac{m}{2m+1}}

    I've done all the problems in my homework but this one, I don't even find the process difficult but something about this one is eluding me, I can't make my answer match up with the book's no matter how I work it out. Can anyone lend a hand please?
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  2. #2
    Junior Member ignite's Avatar
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    Re: Simplifying this complex fraction

    Simplification gives you :
    \frac{2m^2+m-1}{m+1}=\frac{(2m-1)(m+1)}{m+1}=2m-1
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  3. #3
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    Re: Simplifying this complex fraction

    I would start by multiplying by \frac{2m+1}{2m+1}
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  4. #4
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    Re: Simplifying this complex fraction

    Thanks guys! Really appreciate the help. I see where I was going wrong now.
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