5. \(\left(\frac{9}{2}-\frac{8}{3}-\frac{3}{10}\right)\cdot\frac{4}{5}=\)

\(\frac{9}{2}-\frac{8}{3}-\frac{3}{10}=\frac{135-80-9}{30}=\frac{46}{30}=\frac{23}{15}\).

\(\frac{23}{15}\cdot\frac{4}{5}=\frac{92}{75}=1\frac{17}{75}\).

Ответ: \(1\frac{17}{75}\).