1) \((1 \frac{2}{3} + 1 \frac{7}{15}) \cdot 21 = (\frac{5}{3} + \frac{22}{15}) \cdot 21 = (\frac{25 + 22}{15}) \cdot 21 = \frac{47}{15} \cdot 21 = \frac{47 \cdot 7}{5} = \frac{329}{5} = 65.8\)
2) \((1 \frac{3}{4} - 2 \frac{6}{11}) \cdot 22 = (\frac{7}{4} - \frac{28}{11}) \cdot 22 = (\frac{77 - 112}{44}) \cdot 22 = \frac{-35}{44} \cdot 22 = \frac{-35}{2} = -17.5\)
3) \(4 \frac{7}{8} : (2 \frac{1}{3} + 8) = \frac{39}{8} : (\frac{7}{3} + \frac{24}{3}) = \frac{39}{8} : \frac{31}{3} = \frac{39}{8} \cdot \frac{3}{31} = \frac{117}{248}\)
4) \(50 : (2 \frac{7}{16} - 3 \frac{1}{8}) = 50 : (\frac{39}{16} - \frac{25}{8}) = 50 : (\frac{39 - 50}{16}) = 50 : (\frac{-11}{16}) = 50 \cdot (\frac{16}{-11}) = \frac{800}{-11} = -72.7272...\)
Ответ: 1) 65.8; 2) -17.5; 3) \(\frac{117}{248}\); 4) -72.7272...