## spndsh 2 years ago if (x/y) =(3/4) and (x/z)=(1/8), then (y/z)=?

1. Hero

$\left(\frac{x}{z} \div \frac{x}{y}\right) =\left(\frac{x}{z} \dot\ \frac{y}{x}\right) = \frac{y}{z}$ $\left(\frac{1}{8} \div \frac{3}{4}\right) =\left(\frac{1}{8} \dot\ \frac{4}{3}\right) = \frac{4}{24}$ or, when simplified $\frac{1}{6}$

2. Hero

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

wow, thanks!