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Math Help - fraction

  1. #1
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    fraction

    Express \frac{3+h}{h} \times \frac{4h^2}{9-h^2} as a single fraction in its simplest form.
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  2. #2
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    \frac{3 + h}{h} \times \frac{4h^2}{9 - h^2} = \frac{3 + h}{h} \times \frac{4h^2}{(3 - h)(3 + h)}

     = \frac{4h^2(3 + h)}{h(3 - h)(3 + h)}

     = \frac{4h}{3 - h}.
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  3. #3
    Pim
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    If you multiply two fractions, you multiply the numerators and the denominators.

    \frac{3+h}{h} * \frac{4h^2}{9-h^2}
    \frac{(3+h)*(4h^2)}{h*(9-h^2)}
    \frac{12h^2+4h^3}{9h-h^3}

    You will still need to simplify this and I'd like to encourage you to try that, but if you can't figure it out, feel free to post that.

    Edit: Ah well, never mind xD
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  4. #4
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    I find that annoying as well... you try to post an answer to help but someone else beats you to it.
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  5. #5
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    Quote Originally Posted by Pim View Post
    If you multiply two fractions, you multiply the numerators and the denominators.

    \frac{3+h}{h} * \frac{4h^2}{9-h^2}
    \frac{(3+h)*(4h^2)}{h*(9-h^2)}
    \frac{12h^2+4h^3}{9h-h^3}

    You will still need to simplify this and I'd like to encourage you to try that, but if you can't figure it out, feel free to post that.

    Edit: Ah well, never mind xD
    Multiplying out and then simplifying is typically harder than simplifying first and then multiplying.
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  6. #6
    Pim
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    Yeah, I figure you're right on that.
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