Решение:
$\frac{11}{15} * (4\frac{1}{2} - 3\frac{2}{5} : \frac{17}{20}) + 1\frac{11}{20} = \frac{11}{15} * (\frac{9}{2} - \frac{17}{5} * \frac{20}{17}) + \frac{31}{20} = \frac{11}{15} * (\frac{9}{2} - 4) + \frac{31}{20} = \frac{11}{15} * \frac{1}{2} + \frac{31}{20} = \frac{11}{30} + \frac{31}{20} = \frac{22 + 93}{60} = \frac{115}{60} = \frac{23}{12} = 1\frac{11}{12}$
Ответ: $1\frac{11}{12}$

Решение:
$5\frac{4}{7} : 1\frac{5}{21} - (5\frac{2}{15} * \frac{3}{22} + 1\frac{14}{15}) = \frac{39}{7} : \frac{26}{21} - (\frac{77}{15} * \frac{3}{22} + \frac{29}{15}) = \frac{39}{7} * \frac{21}{26} - (\frac{7}{10} + \frac{29}{15}) = \frac{9}{2} - \frac{21 + 58}{30} = \frac{135 - 79}{30} = \frac{56}{30} = \frac{28}{15} = 1\frac{13}{15}$
Ответ: $1\frac{13}{15}$

Решение:
$7\frac{2}{3} + 4\frac{1}{6} * (6\frac{2}{7} - 3\frac{5}{7}) = \frac{23}{3} + \frac{25}{6} * (\frac{44}{7} - \frac{26}{7}) = \frac{23}{3} + \frac{25}{6} * \frac{18}{7} = \frac{23}{3} + \frac{25}{6} * \frac{18}{7} = \frac{23}{3} + \frac{75}{7} = \frac{161 + 225}{21} = \frac{386}{21} = 18\frac{18}{21}$
Ответ: $18\frac{18}{21}$

Решение:
$4\frac{2}{7} : 1\frac{5}{21} + (4\frac{3}{13} * \frac{14}{15} - 3\frac{1}{3}) = \frac{30}{7} : \frac{26}{21} + (\frac{55}{13} * \frac{14}{15} - \frac{10}{3}) = \frac{30}{7} * \frac{21}{26} + (\frac{154}{39} - \frac{10}{3}) = \frac{45}{13} + \frac{154 - 130}{39} = \frac{135 + 24}{39} = \frac{159}{39} = \frac{53}{13} = 4\frac{1}{13}$.
Ответ: $4\frac{1}{13}$