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. \( -1\frac{3}{8} : (-\frac{4}{7}) = -\frac{11}{8} \cdot (-\frac{7}{4}) = \frac{77}{32} = 2\frac{13}{32} \)
8. \( -1\frac{1}{7} : (-\frac{2}{7}) = -\frac{8}{7} \cdot (-\frac{7}{2}) = \frac{8}{2} = 4 \)
9. \( -0,12 : (-\frac{4}{5}) = -\frac{12}{100} : (-\frac{4}{5}) = -\frac{3}{25} \cdot (-\frac{5}{4}) = \frac{15}{100} = 0,15 \)
10. \( 0,1 : (-\frac{1}{12}) = \frac{1}{10} \cdot (-12) = -\frac{12}{10} = -1,2 \)
11. \( \frac{4}{9} : 1,6 = \frac{4}{9} : \frac{16}{10} = \frac{4}{9} \cdot \frac{10}{16} = \frac{1}{9} \cdot \frac{10}{4} = \frac{10}{36} = \frac{5}{18} \)
12. \( -\frac{2}{3} : 1\frac{1}{3} = -\frac{2}{3} : \frac{4}{3} = -\frac{2}{3} \cdot \frac{3}{4} = -\frac{2}{4} = -0,5 \)
13. \( -1\frac{1}{6} : ( -3\frac{1}{2} ) = -\frac{7}{6} : (-\frac{7}{2}) = -\frac{7}{6} \cdot (-\frac{2}{7}) = \frac{2}{6} = \frac{1}{3} \)
14. \( -1,92 : 3,2 = -0,6 \)
15. \( -48,72 : 12 = -4,06 \)
16. \( 59,5 : (-2,5) = -23,8 \)
17. \( 1,292 : (-0,34) = -3,8 \)
18. \( -\frac{26}{69} : (-\frac{52}{57}) = -\frac{26}{69} \cdot (-\frac{57}{52}) = \frac{26}{69} \cdot \frac{57}{52} = \frac{1}{69} \cdot \frac{57}{2} = \frac{57}{138} = \frac{19}{46} \)
19. \( -1\frac{5}{14} : \frac{5}{7} = -\frac{19}{14} \cdot \frac{7}{5} = -\frac{19}{2} \cdot \frac{1}{5} = -\frac{19}{10} = -1,9 \)

Ответ: A) -3; Б) -3; В) 21; Г) -5,3; Д) 862; E) 30,2; Ё) 2\(\frac{13}{32}\); Ж) 4; З) 0,15; И) -1,2; Й) \(\frac{5}{18}\); К) -0,5; Л) \(\frac{1}{3}\); M) -0,6; H) -1,9; O) -4,06; П) -23,8; Р) -3,8; C) \(\frac{19}{46}\); Т) -1,9.