Вычислите: \(\left(\frac{6}{5}-\frac{3}{4}\right)\cdot\frac{2}{3}\).

\[\left(\frac{6}{5}-\frac{3}{4}\right)\cdot\frac{2}{3}=\left(\frac{24}{20}-\frac{15}{20}\right)\cdot\frac{2}{3}=\frac{9}{20}\cdot\frac{2}{3}=\frac{3}{10}.\]

Ответ: \(\frac{3}{10}\).