Ответ:

\(5\frac{1}{8}=\frac{41}{8}\).

\(\frac{41}{8}:\frac{9}{22}=\frac{41}{8}\cdot\frac{22}{9}=\frac{451}{36}=12\frac{19}{36}\).

Ответ: \(12\frac{19}{36}\).