Найдите частное: a) 6/11 : (-1 4/11); б) -1 2/9 : 3 2/3; г) -0,18 : (-2 2/5); д) 0,1 : (-1/23); e) -3/7 : 2,4.

Ответ: a) -6/15; б) -11/33; г) 3/40; д) -2.3; e) -5/28

1. \(\frac{6}{11} : (-1 \frac{4}{11}) = \frac{6}{11} : (-\frac{15}{11}) = \frac{6}{11} \cdot (-\frac{11}{15}) = -\frac{6 \cdot 11}{11 \cdot 15} = -\frac{6}{15} = -\frac{2}{5}\)
2. \((-1 \frac{2}{9}) : 3 \frac{2}{3} = -\frac{11}{9} : \frac{11}{3} = -\frac{11}{9} \cdot \frac{3}{11} = -\frac{11 \cdot 3}{9 \cdot 11} = -\frac{3}{9} = -\frac{1}{3}\)
3. \((-0.18) : (-2 \frac{2}{5}) = -0.18 : (-\frac{12}{5}) = -0.18 \cdot (-\frac{5}{12}) = \frac{0.18 \cdot 5}{12} = \frac{0.9}{12} = \frac{9}{120} = \frac{3}{40}\)
4. \(0.1 : (-\frac{1}{23}) = \frac{1}{10} : (-\frac{1}{23}) = \frac{1}{10} \cdot (-23) = -\frac{23}{10} = -2.3\)
5. \(-\frac{3}{7} : 2.4 = -\frac{3}{7} : \frac{24}{10} = -\frac{3}{7} \cdot \frac{10}{24} = -\frac{3 \cdot 10}{7 \cdot 24} = -\frac{30}{168} = -\frac{5}{28}\)

Ответ: a) -6/15; б) -11/33; г) 3/40; д) -2.3; e) -5/28