5) (5 8/9 : 17/36 + 1 1/4) · 5/21

\(5\frac{8}{9}=\frac{53}{9}\), \(1\frac{1}{4}=\frac{5}{4}\).

\(\left(\frac{53}{9}:\frac{17}{36}+\frac{5}{4}\right)\cdot\frac{5}{21}=\left(\frac{53}{9}\cdot\frac{36}{17}+\frac{5}{4}\right)\cdot\frac{5}{21}\).

\(\left(\frac{212}{17}+\frac{5}{4}\right)\cdot\frac{5}{21}=\frac{933}{68}\cdot\frac{5}{21}=\frac{1555}{476}\).

Ответ: \(\frac{1555}{476}=3\frac{127}{476}\)