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Math Help - [SOLVED] Complex rational expressions HELP!

  1. #1
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    [SOLVED] Complex rational expressions HELP!

    I do not understand how to do these problems. Is there anyone who understands these?

    3x/y - x
    ______________
    2y - y/x
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by JessicaHoaglund View Post
    I do not understand how to do these problems. Is there anyone who understands these?

    3x/y - x
    ______________
    2y - y/x
    please verify, is this supposed to be \frac {\frac {3x}y - x}{2y - \frac yx} ?

    and what do you want to do? simplify?
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  3. #3
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    Yes. I am new to this site and am not exactly sure how to type it that way, but yes I need to simplify. THANKS!
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  4. #4
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    What about if you multiply the complex fraction (top & bottom) by xy\,?
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by JessicaHoaglund View Post
    Yes. I am new to this site and am not exactly sure how to type it that way, but yes I need to simplify. THANKS!
    the easiest way i'm seeing is to just combine the fractions in the numerator and the denominator and then simplify:

    \frac {\frac {3x}y - x}{2y - \frac yx} = \frac {\frac {3x - xy}y}{\frac {2xy - y}x} = \frac {x(3 - y)}y \cdot \frac x{y(2x - 1)} = \frac {x^2 (3 - y)}{y^2 (2x - 1)}

    ...or yes, you can do it Krizalid's way. i thought about it, but for some reason i decided to do it the hard way.
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