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Thread: Multiplying Squared fractions

  1. #1
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    Post Multiplying Squared fractions

    I this is the problem and the solution.

    [1/2(10/3)]^2= 25/9

    The ways I have worked it out so far are not generating 25/9 so if you could help me by telling me the steps to get there it would be great. thanks
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  2. #2
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    Do whats inside the ( ) first..

    $\displaystyle \frac{1}{2}*\frac{10}{3}=\frac{10}{6}$

    $\displaystyle (\frac{10}{6})^2= \frac{10}{6}*\frac{10}{6} = \frac{100}{36}$. You can take 4 into both so it reduces to $\displaystyle \frac{25}{9}$
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  3. #3
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    Quote Originally Posted by leoslick View Post
    I this is the problem and the solution.

    [1/2(10/3)]^2= 25/9

    The ways I have worked it out so far are not generating 25/9 so if you could help me by telling me the steps to get there it would be great. thanks
    Using LaTeX or the brackets correctly helps.

    $\displaystyle \left[\frac{1}{2}\left(\frac{10}{3}\right)\right]^2 = \left(\frac{1}{2}\right)^2 \left(\frac{10}{3}\right)^2$

    $\displaystyle = \frac{1^2}{2^2}\left(\frac{10^2}{3^2}\right)$

    $\displaystyle = \frac{1}{4}\left(\frac{100}{9}\right)$

    $\displaystyle = \frac{25}{9}$.
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  4. #4
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    I'll make it easy

    just multiply $\displaystyle \frac {1}{2} $ by $\displaystyle \frac {10}{3}$

    Not we got $\displaystyle (\frac {10}{6})^2$

    The rest should be easy:

    $\displaystyle \frac {10^2}{6^2} $

    $\displaystyle \frac {100}{36} $

    simplify:

    $\displaystyle \frac {25}{9} $

    done.
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