2. \(4\frac{5}{6}+1\frac{3}{4}\)

Приводим дроби к знаменателю 12: \(\frac{5}{6}=\frac{10}{12}\), \(\frac{3}{4}=\frac{9}{12}\).

\(4\frac{10}{12}+1\frac{9}{12}=5\frac{19}{12}=6\frac{7}{12}\).

Ответ: \(6\frac{7}{12}\).