Выполните деление: 4a/5b:2a^2/15b^2.

\[\frac{4a}{5b}\ :\frac{2a^{2}}{15b^{2}} = \frac{4a}{5b} \cdot \frac{15b^{2}}{2a^{2}} =\]

\[= \frac{2 \cdot 3b}{a} = \frac{6b}{a}.\]