24 5 −2 3 ) ; 5)8:31+53 (164 11/5 7 6) 36: 36 (9-18) +5.2 3 5 1 1 7) 2 3 (9 −3 )+6.1; 51 1 2 15 2 5-12 15+8:23 1 )

Ответ: -51,3.

1. 5) \(8 : \frac{24}{31} + 5\frac{1}{3} \cdot (\frac{5}{16} - 2\frac{3}{4}) = \frac{8 \cdot 31}{24} + \frac{16}{3} \cdot (\frac{5}{16} - \frac{11}{4}) = \frac{31}{3} + \frac{16}{3} \cdot (\frac{5}{16} - \frac{44}{16}) = \frac{31}{3} + \frac{16}{3} \cdot \frac{-39}{16} = \frac{31}{3} - \frac{39}{3} = \frac{-8}{3} = -2\frac{2}{3}\)
2. 6) \(\frac{11}{36} : (\frac{5}{9} - \frac{7}{18}) + 5 \cdot 2\frac{1}{5} = \frac{11}{36} : (\frac{10}{18} - \frac{7}{18}) + 5 \cdot \frac{11}{5} = \frac{11}{36} : \frac{3}{18} + 11 = \frac{11 \cdot 18}{36 \cdot 3} + 11 = \frac{11 \cdot 1}{2 \cdot 3} + 11 = \frac{11}{6} + 11 = \frac{11 + 66}{6} = \frac{77}{6} = 12\frac{5}{6}\)
3. 7) \(2\frac{1}{3} : (\frac{5}{9} - \frac{1}{3}) + 6 \cdot 1\frac{1}{2} = \frac{7}{3} : (\frac{5}{9} - \frac{3}{9}) + 6 \cdot \frac{3}{2} = \frac{7}{3} : \frac{2}{9} + 9 = \frac{7 \cdot 9}{3 \cdot 2} + 9 = \frac{7 \cdot 3}{1 \cdot 2} + 9 = \frac{21}{2} + 9 = \frac{21 + 18}{2} = \frac{39}{2} = 19\frac{1}{2}\)
4. 8) \(\frac{3}{5} - \frac{5}{12} \cdot 1\frac{1}{15} + 8 : 2\frac{2}{3} = \frac{3}{5} - \frac{5}{12} \cdot \frac{16}{15} + \frac{8 \cdot 3}{8} = \frac{3}{5} - \frac{1 \cdot 4}{3 \cdot 3} + 3 = \frac{3}{5} - \frac{4}{9} + 3 = \frac{3 \cdot 9}{5 \cdot 9} - \frac{4 \cdot 5}{9 \cdot 5} + 3 = \frac{27}{45} - \frac{20}{45} + 3 = \frac{7}{45} + 3 = 3\frac{7}{45}\)

Ответ: -51,3.