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Math Help - Complex fractions

  1. #1
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    Complex fractions

    Please see attached

    Thanks
    Chester
    Last edited by Chester; August 3rd 2006 at 04:10 PM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Your method is correct, but your denominator is slightly incorrect.

    \frac{ \frac{1}{3} + \frac{1}{y} }{ \frac{y}{3} - \frac{3}{y} } \times \frac{3y}{3y}

    = \frac{ \frac{1}{3}(3y)+ \frac{1}{y}(3y) }{ \frac{y}{3}(3y) - \frac{3}{y}(3y) }

    = \frac{ y+ 3 }{ y^2 - 9 }

    = \frac{y+3}{(y+3)(y-3)} = \frac{1}{y-3}, y \neq 3, \, -3, \, 0

    -Dan
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  3. #3
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    Thanks

    I just need to simplify and reduce to lowest term.

    would this be correct?

    y+3
    ----------
    (y+3)(y-3)

    Chester. How to you post your response?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Chester
    I just need to simplify and reduce to lowest term.

    would this be correct?

    y+3
    ----------
    (y+3)(y-3)

    Chester. How to you post your response?
    Once you cancel the common y+3, yes.

    I'm not sure what you mean by "post your response?"

    -Dan
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  5. #5
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    How you post your response

    Thanks. I would like to find out how you make your posts look like they are done in equation editor. Are there any instructions on the site for doing this?

    Thanks again for your time

    Chester
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  6. #6
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Chester
    Thanks. I would like to find out how you make your posts look like they are done in equation editor. Are there any instructions on the site for doing this?

    Thanks again for your time

    Chester
    (Sigh) I can't find the link. Somewhere in here is a quick set of instructions. Briefly, if you want to see how the text is coded, left-click on the expression and a box will come up.

    The basics are that all code for LaTeX on this forum is in between the two sets of boxes " [ math ] " and " [ /math ] ." (Without the spaces and quotes!) A decent reference for basic forms can be found here: http://meta.wikimedia.org/wiki/Help:Formula

    So far, everything I've found on this page works in this forum.

    Common examples:
    x^2

    x_1

    x_1^3

    \sqrt{ x^{3/2} }

    \frac{x-1}{x^2+2x}

    You get used to it after a while.

    -Dan
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  7. #7
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by topsquark
    (Sigh) I can't find the link.

    -Dan
    They really should post the LaTex Tutorial as a sticky in one of the forums.
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  8. #8
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    Quote Originally Posted by Quick
    They really should post the LaTex Tutorial as a sticky in one of the forums.
    Not a bad idea.
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