Вычислите: \(\left(\frac{3}{2}-\frac{1}{5}\right)\cdot\frac{5}{13}-(3-5)\cdot\frac{3}{4}\).

\[\frac{3}{2}-\frac{1}{5}=\frac{15}{10}-\frac{2}{10}=\frac{13}{10}.\]

\[\frac{13}{10}\cdot\frac{5}{13}=\frac{1}{2}.\]

\[3-5=-2,\qquad (-2)\cdot\frac{3}{4}=-\frac{3}{2}.\]

\[\frac{1}{2}-\left(-\frac{3}{2}\right)=\frac{1}{2}+\frac{3}{2}=2.\]

Ответ: 2.