41. Вычислите:

Решение:

1. \( 57 : (-19) = -3 \)
2. \( -123 : 41 = -3 \)
3. \( -147 : (-7) = 21 \)
4. \( 14,31 : (-2,7) = -5,3 \)
5. \( -86,2 : (-0,1) = 862 \)
6. \( -51,34 : (-1,7) = 30,2 \)
7. \( -1\frac{3}{8} : \frac{4}{11} = -\frac{11}{8} : \frac{4}{11} = -\frac{11}{8} \cdot \frac{11}{4} = -\frac{121}{32} = -3\frac{25}{32} \)
8. \( \frac{4}{7} : \left( -1\frac{2}{7} \right) = \frac{4}{7} : \left( -\frac{9}{7} \right) = \frac{4}{7} \cdot \left( -\frac{7}{9} \right) = -\frac{4}{9} \)
9. \( -1\frac{1}{8} : (-1,5) = -\frac{9}{8} : \left( -\frac{3}{2} \right) = -\frac{9}{8} \cdot \left( -\frac{2}{3} \right) = \frac{18}{24} = \frac{3}{4} = 0,75 \)
10. \( -0,12 : \left( -1\frac{4}{5} \right) = -0,12 : \left( -1,8 \right) = 0,0666... = \frac{12}{180} = \frac{1}{15} \)
11. \( 0,1 : \left( -\frac{1}{12} \right) = \frac{1}{10} : \left( -\frac{1}{12} \right) = \frac{1}{10} \cdot (-12) = -\frac{12}{10} = -1,2 \)
12. \( -\frac{4}{9} : 1,6 = -\frac{4}{9} : \frac{16}{10} = -\frac{4}{9} : \frac{8}{5} = -\frac{4}{9} \cdot \frac{5}{8} = -\frac{20}{72} = -\frac{5}{18} \)
13. \( -\frac{2}{3} : 1\frac{1}{3} = -\frac{2}{3} : \frac{4}{3} = -\frac{2}{3} \cdot \frac{3}{4} = -\frac{6}{12} = -\frac{1}{2} = -0,5 \)
14. \( -1\frac{1}{6} : \left( -3\frac{1}{2} \right) = -\frac{7}{6} : \left( -\frac{7}{2} \right) = -\frac{7}{6} \cdot \left( -\frac{2}{7} \right) = \frac{14}{42} = \frac{1}{3} \)
15. \( -1,92 : 3,2 = -0,6 \)
16. \( -48,72 : 12 = -4,06 \)
17. \( 59,5 : (-2,5) = -23,8 \)
18. \( 1,292 : (-0,34) = -3,8 \)
19. \( -\frac{26}{69} : \left( -\frac{52}{57} \right) = \frac{26}{69} \cdot \frac{57}{52} = \frac{1}{2} \cdot \frac{57}{69} = \frac{57}{138} = \frac{19}{46} \)
20. \( -1\frac{1}{14} : 5\frac{5}{7} = -\frac{15}{14} : \frac{40}{7} = -\frac{15}{14} \cdot \frac{7}{40} = -\frac{15 \cdot 7}{14 \cdot 40} = -\frac{105}{560} = -\frac{21}{112} = -\frac{3}{16} \)