Ответ:

\(1\frac{5}{9}\cdot\frac{7}{24}=\frac{14}{9}\cdot\frac{7}{24}=\frac{49}{108}\).

\(7-\frac{49}{108}=\frac{707}{108}\).

\(\frac{707}{108}:\frac{20}{27}=\frac{707}{80}=8\frac{67}{80}\).

Ответ: \(8\frac{67}{80}\)