4.333 Найдите частное: a) \frac{6}{11}: (-1\frac{4}{11}); B) - 1\frac{1}{6} : (-\frac{1}{2}); 6)-1\frac{2}{9} : 3\frac{2}{3}; г) -0,18: (-2\frac{2}{5}); e) -\frac{3}{7} : 2.4. д) 0,1 : (-\frac{1}{23});

• a) \(\frac{6}{11}: (-1\frac{4}{11}) = \frac{6}{11} : (-\frac{15}{11}) = \frac{6}{11} \cdot (-\frac{11}{15}) = -\frac{6 \cdot 11}{11 \cdot 15} = -\frac{6}{15} = -\frac{2}{5} = -0,4\)
• б) \(-1\frac{2}{9} : 3\frac{2}{3} = -\frac{11}{9} : \frac{11}{3} = -\frac{11}{9} \cdot \frac{3}{11} = -\frac{11 \cdot 3}{9 \cdot 11} = -\frac{3}{9} = -\frac{1}{3}\)
• в) \(-1\frac{1}{6} : (-\frac{1}{2}) = -\frac{7}{6} : (-\frac{1}{2}) = -\frac{7}{6} \cdot (-2) = \frac{7 \cdot 2}{6} = \frac{14}{6} = \frac{7}{3} = 2\frac{1}{3}\)
• г) \(-0,18: (-2\frac{2}{5}) = -0,18 : (-\frac{12}{5}) = -0,18 \cdot (-\frac{5}{12}) = \frac{0,18 \cdot 5}{12} = \frac{0,9}{12} = 0,075\)
• д) \(0,1 : (-\frac{1}{23}) = 0,1 \cdot (-23) = -2,3\)
• e) \(-\frac{3}{7} : 2,4 = -\frac{3}{7} : \frac{24}{10} = -\frac{3}{7} \cdot \frac{10}{24} = -\frac{3 \cdot 10}{7 \cdot 24} = -\frac{30}{168} = -\frac{5}{28}\)

Ответ: a) -0,4; б) -1/3; в) 2 1/3; г) 0,075; д) -2,3; e) -5/28