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Math Help - express in simplest form

  1. #1
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    express in simplest form

    2/x^2 + 2/y^2
    ---------------
    4/xy
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  2. #2
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    Quote Originally Posted by blame_canada100 View Post
    2/x^2 + 2/y^2
    ---------------
    4/xy
    You can use latex to make your question easier to understand, Click on my representation of the question.

    \frac{\frac{2}{x^2} + \frac{2}{y^2}}{\frac{4}{xy}}

    I would go about this by simplifying the numerator on it's own

    Cross multiply to give just one denominator

    Spoiler:
    \frac{2}{x^2}+\frac{2}{y^2} = \frac{2(y^2+x^2)}{x^2y^2}


    Remember when multiplying by fractions that \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{ad}{bc}. In other words flip the fraction and multiply.

    Spoiler:
    \frac{2(y^2+x^2)}{x^2y^2} \times \frac{xy}{4}

    xy will cancel as will 2

    \frac{x^2+y^2}{2xy}
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  3. #3
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    Quote Originally Posted by blame_canada100 View Post
    2/x^2 + 2/y^2
    ---------------
    4/xy
    \displaystyle{\frac{{\frac{2}<br />
{{x^2 }} - \frac{2}<br />
{{y^2 }}}}<br />
{{\frac{4}<br />
{{xy}}}}} = {\frac{{\left( {\frac{2}<br />
{{x^2 }} - \frac{2}<br />
{{y^2 }}} \right)x^2 y^2 }}<br />
{{\left( {\frac{4}<br />
{{xy}}} \right)x^2 y^2 }}}
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