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Math Help - [SOLVED] Multiplication of Algerbraic Fractions

  1. #1
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    [SOLVED] Multiplication of Algerbraic Fractions

    Q. Simplify:

    \frac {4}{21 - 9x} \div \frac {8}{14 - 6x}

    this is the furthest i've gotten

    \frac {4}{9(3 - x)} \times \frac {2(7 - 3x)}{8}

    the answer is:  \frac 1 3

    im not even sure if my working out so far is right .

    thanks
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by waven View Post
    Q. Simplify:

    \frac {4}{21 - 9x} \div \frac {8}{14 - 6x}

    this is the furthest i've gotten

    \frac {4}{9(3 - x)} \times \frac {2(7 - 3x)}{8} e^(i*pi) : 9 is not a factor of 21

    the answer is:  \frac 1 3

    im not even sure if my working out so far is right .

    thanks

    \frac {4}{21 - 9x} \div \frac {8}{14 - 6x} = \frac{4}{3(7-3x)} \times \frac{2(7-3x)}{8}

    The 2 and the 4 on the top will cancel with the 8 on the bottom and (7-3x) will cancel to give 1/3
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