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Математика2 Вычислите a) 3 \frac{2}{3}: \frac{-11}{12}; г) \frac{-9}{16}: 1 \frac{13}{32}; ж) -\frac{4}{5}: (-1 \frac{1}{5}); к) (-2 \frac{2}{5}): 10; а) 1 \frac{1}{2}: (-1 \frac{1}{6}); г) -2 \frac{1}{8}: (-3 \frac{1}{16}); б) \frac{8}{15}: \frac{16}{-25}; д) -1 \frac{1}{3}: 3 \frac{1}{2}; з) -\frac{4}{3}: (-1 \frac{5}{6}); л) -6: 3 \frac{3}{5}; б) -2 \frac{1}{3}: (-1 \frac{5}{6}); д) 1 \frac{13}{15}: (-1 \frac{2}{5}); в) \frac{-7}{9}: 2 \frac{1}{3}; е) \frac{7}{8}: (-1 \frac{5}{8}); и) 4: (-1 \frac{1}{3}); м) -2 \frac{5}{7}: (-38); в) -1 \frac{1}{3}: 2 \frac{7}{8}; е) (-2 \frac{2}{21}): (-1 \frac{4}{7}).
Ответ:
Ответ:
а) 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
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}
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}
к) (-2 \frac{2}{5}): 10 = -\frac{12}{5} : 10 = -\frac{12}{5} \cdot \frac{1}{10} = -\frac{12 \cdot 1}{5 \cdot 10} = -\frac{12}{50} = -\frac{6}{25}
а) 1 \frac{1}{2}: (-1 \frac{1}{6}) = \frac{3}{2} : (-\frac{7}{6}) = \frac{3}{2} \cdot \frac{6}{-7} = -\frac{3 \cdot 6}{2 \cdot 7} = -\frac{18}{14} = -\frac{9}{7} = -1 \frac{2}{7}
г) -2 \frac{1}{8}: (-3 \frac{1}{16}) = -\frac{17}{8} : (-\frac{49}{16}) = \frac{17}{8} \cdot \frac{16}{49} = \frac{17 \cdot 16}{8 \cdot 49} = \frac{272}{392} = \frac{34}{49}
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}
д) -1 \frac{1}{3}: 3 \frac{1}{2} = -\frac{4}{3} : \frac{7}{2} = -\frac{4}{3} \cdot \frac{2}{7} = -\frac{4 \cdot 2}{3 \cdot 7} = -\frac{8}{21}
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}
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}
б) -2 \frac{1}{3}: (-1 \frac{5}{6}) = -\frac{7}{3} : (-\frac{11}{6}) = \frac{7}{3} \cdot \frac{6}{11} = \frac{7 \cdot 6}{3 \cdot 11} = \frac{42}{33} = \frac{14}{11} = 1 \frac{3}{11}
д) 1 \frac{13}{15}: (-1 \frac{2}{5}) = \frac{28}{15} : (-\frac{7}{5}) = \frac{28}{15} \cdot \frac{5}{-7} = -\frac{28 \cdot 5}{15 \cdot 7} = -\frac{140}{105} = -\frac{4}{3} = -1 \frac{1}{3}
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{21}{63} = -\frac{1}{3}
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{56}{104} = -\frac{7}{13}
и) 4: (-1 \frac{1}{3}) = 4 : (-\frac{4}{3}) = 4 \cdot \frac{3}{-4} = -\frac{4 \cdot 3}{4} = -\frac{12}{4} = -3
м) -2 \frac{5}{7}: (-38) = -\frac{19}{7} : (-38) = -\frac{19}{7} \cdot \frac{1}{-38} = \frac{19 \cdot 1}{7 \cdot 38} = \frac{19}{266} = \frac{1}{14}
в) -1 \frac{1}{3}: 2 \frac{7}{8} = -\frac{4}{3} : \frac{23}{8} = -\frac{4}{3} \cdot \frac{8}{23} = -\frac{4 \cdot 8}{3 \cdot 23} = -\frac{32}{69}
е) (-2 \frac{2}{21}): (-1 \frac{4}{7}) = (-\frac{44}{21}) : (-\frac{11}{7}) = \frac{44}{21} \cdot \frac{7}{11} = \frac{44 \cdot 7}{21 \cdot 11} = \frac{308}{231} = \frac{4}{3} = 1 \frac{1}{3}
Ответ:
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