47. 5/6+2 1/4:2/33

\(2\frac{1}{4}:\frac{2}{33}=\frac{9}{4}\cdot\frac{33}{2}=\frac{297}{8}\).

\(\frac{5}{6}+\frac{297}{8}=\frac{20}{24}+\frac{891}{24}=\frac{911}{24}=37\frac{23}{24}\).

Ответ: 37\(\frac{23}{24}\)