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Math Help - Fractions

  1. #1
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    Fractions

    How does

    (3√2)/6 - (8√2)/216 = (100√2)/216 ?

    Thanks
    Last edited by CSG18; February 18th 2010 at 07:34 AM.
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  2. #2
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    Quote Originally Posted by CSG18 View Post
    How does

    (3√2)/6 - (8√2)/216 = (100√2)/216 ?

    Thanks
    The LCD of 6 and 216 is 216.

    Multiply the first term by 36/36

    \frac{36}{36} \cdot \frac{3\sqrt{2}}{6} = \frac{108 \sqrt2}{216}

    Now they have the same denominator they can be combined

    \frac{108 \sqrt{2} - 8 \sqrt{2}}{216}

    Factor out \sqrt{2}

    \frac{\sqrt{2}(108-8)}{216} = \frac{100\sqrt2}{216}

    This equals the RHS but since both numerator and denominator are multiples of 4 we can cancel it down to \frac{25 \sqrt{2}}{54}
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