7) \(5\frac{2}{5}:1\frac{1}{9}=\)

Преобразуем смешанные числа:

\(5\frac{2}{5}=\frac{27}{5}\), \(1\frac{1}{9}=\frac{10}{9}\).

\(\frac{27}{5}:\frac{10}{9}=\frac{27}{5}\cdot\frac{9}{10}=\frac{243}{50}=4\frac{43}{50}\).

Ответ: \(4\frac{43}{50}\)