\(\frac{11}{33}=\frac{1}{3}\), \(1\frac{1}{21}=\frac{22}{21}\), поэтому \(\frac{11}{33}\cdot1\frac{1}{21}=\frac{1}{3}\cdot\frac{22}{21}=\frac{22}{63}\).
\(4-\frac{22}{63}=\frac{252-22}{63}=\frac{230}{63}\), а \(5\frac{5}{8}=\frac{45}{8}\).
\(\frac{230}{63}\cdot\frac{45}{8}=\frac{575}{28}=20\frac{15}{28}\).
Ответ: \(20\frac{15}{28}\).