Найдите значение числового выражения: а) 11/15 × (4 1/2 − 3 2/5 : 17/20) + 1 11/20; б) 5 3/7 : 1 5/21 − (5 2/15 × 3/22 + 1 14/15).

1. \(\frac{11}{15}\left(4\frac12-3\frac25:\frac{17}{20}\right)+1\frac{11}{20}=\frac{11}{15}\left(\frac92-\frac{17}{5}\cdot\frac{20}{17}\right)+\frac{31}{20}=\frac{11}{15}\left(\frac92-4\right)+\frac{31}{20}=\frac{11}{30}+\frac{31}{20}=\frac{73}{60}=1\frac{13}{60}\).
2. \(5\frac37:1\frac5{21}-\left(5\frac2{15}\cdot\frac3{22}+1\frac{14}{15}\right)=\frac{38}{7}:\frac{26}{21}-\left(\frac{77}{15}\cdot\frac3{22}+\frac{29}{15}\right)=\frac{57}{13}-\left(\frac7{10}+\frac{29}{15}\right)=\frac{57}{13}-\frac{73}{30}=\frac{761}{390}=1\frac{371}{390}\).

Ответ: а) \(1\frac{13}{60}\); б) \(\frac{761}{390}=1\frac{371}{390}\).