Question:
What is the simplified value of $\frac{\sqrt{24}}{\sqrt{30}}\div\frac{\sqrt{20}}{3\sqrt{25}}$?

Answer:
\begin{align*}
\frac{\sqrt{24}}{\sqrt{30}}\div\frac{\sqrt{20}}{3\sqrt{25}}&=\frac{\sqrt{24}}{\sqrt{30}}\times \frac{3\sqrt{25}}{\sqrt{20}}\\
&=\frac{2\sqrt{6}}{\sqrt{5}\times \sqrt{6}}\times\frac{15}{2\sqrt{5}}\\
&=\boxed{3}
\end{align*}