\(1\frac{11}{33}=1\frac{1}{3}=\frac{4}{3}\), \(1\frac{1}{21}=\frac{22}{21}\), \(5\frac{5}{8}=\frac{45}{8}\).
\[\left(4-\frac{4}{3}\cdot\frac{22}{21}\right)\cdot\frac{45}{8}=\left(4-\frac{88}{63}\right)\cdot\frac{45}{8}=\frac{164}{63}\cdot\frac{45}{8}=\frac{205}{14}=14\frac{9}{14}.\]
Ответ: \(14\frac{9}{14}\).