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spndsh

  • 3 years ago

if (x/y) =(3/4) and (x/z)=(1/8), then (y/z)=?

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  1. Hero
    • 3 years ago
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    \[\left(\frac{x}{z} \div \frac{x}{y}\right) =\left(\frac{x}{z} \dot\ \frac{y}{x}\right) = \frac{y}{z} \] \[\left(\frac{1}{8} \div \frac{3}{4}\right) =\left(\frac{1}{8} \dot\ \frac{4}{3}\right) = \frac{4}{24} \] or, when simplified \[\frac{1}{6}\]

  2. Hero
    • 3 years ago
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    To check perform the following steps to get back to x/y: \[\left(\frac{x}{z} \div \frac{y}{z}\right) = \left(\frac{x}{z} \dot\ \frac{z}{y}\right) =\frac{x}{y}\] \[\left(\frac{1}{8} \div \frac{1}{6}\right) = \left(\frac{1}{8} \dot\ \frac{6}{1}\right) =\frac{6}{8}\] or \[\frac{3}{4}\] when simplified

  3. spndsh
    • 3 years ago
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    wow, thanks!

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