4. \(\left(1\frac{5}{6}+\frac{3}{5}\right)\cdot24\)

Преобразуем смешанное число: \(1\frac{5}{6}=\frac{11}{6}\).

\(\left(\frac{11}{6}+\frac{3}{5}\right)\cdot24=\left(\frac{55}{30}+\frac{18}{30}\right)\cdot24=\frac{73}{30}\cdot24=\frac{292}{5}=58.4\).

Ответ: \(\frac{292}{5}\)