Вычислите: a) $$3\frac{2}{3}:\frac{-11}{12}$$ б) $$\frac{8}{15}:\frac{16}{-25}$$ в) $$\frac{-7}{9}:2\frac{1}{3}$$ г) $$\frac{-9}{16}:1\frac{13}{32}$$ д) $$-1\frac{1}{3}:\frac{2}{3}$$ е) $$\frac{7}{8}:(-1\frac{5}{8})$$ ж) $$\frac{-4}{5}:(-1\frac{1}{5})$$ з) $$\frac{-3}{3}:(-1\frac{5}{6})$$ и) $$4:(-1\frac{1}{3})$$ к) $$(-2\frac{2}{5}):10$$ л) $$-6:3\frac{3}{5}$$ м) $$-2\frac{5}{7}: (-38)$$

Выполним вычисления по действиям, подробно расписывая каждый шаг. a) $$3\frac{2}{3}:\frac{-11}{12} = \frac{11}{3}:\frac{-11}{12} = \frac{11}{3} \cdot \frac{12}{-11} = \frac{11 \cdot 12}{3 \cdot (-11)} = \frac{12}{-3} = -4$$ б) $$\frac{8}{15}:\frac{16}{-25} = \frac{8}{15} \cdot \frac{-25}{16} = \frac{8 \cdot (-25)}{15 \cdot 16} = \frac{-200}{240} = \frac{-5}{6}$$ в) $$\frac{-7}{9}:2\frac{1}{3} = \frac{-7}{9}:\frac{7}{3} = \frac{-7}{9} \cdot \frac{3}{7} = \frac{-7 \cdot 3}{9 \cdot 7} = \frac{-3}{9} = -\frac{1}{3}$$ г) $$\frac{-9}{16}:1\frac{13}{32} = \frac{-9}{16}:\frac{45}{32} = \frac{-9}{16} \cdot \frac{32}{45} = \frac{-9 \cdot 32}{16 \cdot 45} = \frac{-288}{720} = -\frac{4}{10} = -\frac{2}{5}$$ д) $$-1\frac{1}{3}:\frac{2}{3} = -\frac{4}{3}:\frac{2}{3} = -\frac{4}{3} \cdot \frac{3}{2} = \frac{-4 \cdot 3}{3 \cdot 2} = \frac{-12}{6} = -2$$ е) $$\frac{7}{8}:(-1\frac{5}{8}) = \frac{7}{8}:(-\frac{13}{8}) = \frac{7}{8} \cdot \frac{8}{-13} = \frac{7 \cdot 8}{8 \cdot (-13)} = \frac{7}{-13} = -\frac{7}{13}$$ ж) $$\frac{-4}{5}:(-1\frac{1}{5}) = \frac{-4}{5}:(-\frac{6}{5}) = \frac{-4}{5} \cdot \frac{5}{-6} = \frac{-4 \cdot 5}{5 \cdot (-6)} = \frac{-20}{-30} = \frac{2}{3}$$ з) $$\frac{-4}{3}:(-1\frac{5}{6}) = \frac{-4}{3}:(-\frac{11}{6}) = \frac{-4}{3} \cdot \frac{6}{-11} = \frac{-4 \cdot 6}{3 \cdot (-11)} = \frac{-24}{-33} = \frac{8}{11}$$ и) $$4:(-1\frac{1}{3}) = 4:(-\frac{4}{3}) = 4 \cdot \frac{3}{-4} = \frac{4 \cdot 3}{-4} = \frac{12}{-4} = -3$$ к) $$(-2\frac{2}{5}):10 = (-\frac{12}{5}):10 = -\frac{12}{5} \cdot \frac{1}{10} = \frac{-12}{50} = -\frac{6}{25}$$ л) $$-6:3\frac{3}{5} = -6:\frac{18}{5} = -6 \cdot \frac{5}{18} = \frac{-6 \cdot 5}{18} = \frac{-30}{18} = -\frac{5}{3} = -1\frac{2}{3}$$ м) $$-2\frac{5}{7}: (-38) = -\frac{19}{7}:(-38) = -\frac{19}{7} \cdot \frac{1}{-38} = \frac{-19}{7 \cdot (-38)} = \frac{-19}{-266} = \frac{1}{14}$$ Ответы: а) -4 б) -5/6 в) -1/3 г) -2/5 д) -2 е) -7/13 ж) 2/3 з) 8/11 и) -3 к) -6/25 л) -1 2/3 м) 1/14