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Math Help - multiplying squared fractions

  1. #1
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    multiplying squared fractions

    (1/6 squared) multiplied by 9/25 then that answer is divided by 2/5 squared
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  2. #2
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    Quote Originally Posted by duckpluckie
    (1/6 squared) multiplied by 9/25 then that answer is divided by 2/5 squared
    Hi, duckpluckie,

    expand all squares:

    \frac{\left(\frac{1}{6}\right)^2\codt\frac{9}{25}}  {\frac{2}{5}} =\frac{1}{36}\cdot\frac{9}{25}\cdot\frac{5}{2}
    Simplify and you'll get:
    \frac{1}{40}

    Bye

    EB
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  3. #3
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    I think the (2/5) was supposed to be squared too.

    So the problem is:

    \frac{(\frac{1}{6})^2 \cdot \frac{9}{25}}{(\frac{2}{5})^2}

    Determine the squares first:

    =\frac{\frac{1}{36} \cdot \frac{9}{25}}{\frac{4}{25}}

    Cancel 9 out of the top:

    =\frac{\frac{1}{4}\cdot \frac{1}{25}}{\frac{4}{25}}

    and cancel the 25ths out:

    =\frac{(\frac{1}{4})}{4}

    This is \frac{1}{4} \div {4} = \frac{1}{16}.
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