Question

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

Answer 1

\[\left(\frac{x}{z} \div \frac{x}{y}\right) =\left(\frac{x}{z} \dot\ \frac{y}{x}\right) = \frac{y}{z} \]

\[\left(\frac{1}{8} \div \frac{3}{4}\right) =\left(\frac{1}{8} \dot\ \frac{4}{3}\right) = \frac{4}{24} \] or, when simplified \[\frac{1}{6}\]

Answer 2

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

Answer 3

wow, thanks!