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Math Help - Simplifying complex fraction

  1. #1
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    Simplifying complex fraction

    I know I shoudl know this, but it's late and for some reason I am drawing a blank. Any help would be appreciated. Thanks

    How does \frac{\frac{3}{x}}{1+\frac{4}{x^2}} simplify to \frac{3x}{x^2+4}
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  2. #2
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    Hello, dbakeg00!

    \text{How does }\,\dfrac{\frac{3}{x}}{1+\frac{4}{x^2}}\,\text{ simplify to }\,\dfrac{3x}{x^2+4}

    Multiply by \dfrac{x^2}{x^2}

    . . \displaystyle \frac{x^2}{x^2}\cdot \frac{\frac{3}{x}}{1+\frac{4}{x^2}} \;=\;<br />
 \dfrac{x^2\left(\frac{3}{x}\right)}{x^2\left(1 + \frac{4}{x^2}\right)} \;=\;\frac{3x}{x^2+4}

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  3. #3
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    Thanks for the help. I know I need to go to bed when I start struggling with something like this!
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