\(\frac{32xy}{24yz}\)
To make this easier, separate each variable into its own fraction.
\(\frac{32}{24}\) \(\frac{x}{1}\) \(\frac{y}{y}\) \(\frac{1}{z}\)
Now simplify these fractions.
\(\frac{4}{3}\) \(x\) \(1\) \(\frac{1}{z}\)
Now combine these fractions.
\(\frac{4x}{3z}\)
That is your final answer. To explain it in other terms, you can cross out the y's because there's one on the top and one on the bottom. You can also simplify the 32 and 24, since they have common factors.
