1 1/5 : 4/5 + 5/6 =

\[1\frac{1}{5}:\frac{4}{5}+\frac{5}{6}=\frac{6}{5}\cdot\frac{5}{4}+\frac{5}{6}=\frac{3}{2}+\frac{5}{6}=\frac{9}{6}+\frac{5}{6}=\frac{14}{6}=\frac{7}{3}=2\frac{1}{3}\]

Ответ: \(2\frac{1}{3}\)