Ответ:

Сложим дроби: \(\frac{19}{8}+\frac{11}{12}=\frac{57}{24}+\frac{22}{24}=\frac{79}{24}\).

\(\frac{79}{24}:\frac{5}{48}=\frac{79}{24}\cdot\frac{48}{5}=\frac{158}{5}=31\frac{3}{5}\).

Ответ: \(31\frac{3}{5}\).