4.333 Найдите частное: a) \frac{6}{11}:(-1\frac{4}{11}); в) -1\frac{1}{6}:(-\frac{1}{2}); д) 0,1 : (-\frac{1}{23});

Разбираемся:

1. a) \(\frac{6}{11}:(-1\frac{4}{11}) = \frac{6}{11}:(-\frac{15}{11}) = \frac{6}{11} \cdot (-\frac{11}{15}) = -\frac{6 \cdot 11}{11 \cdot 15} = -\frac{6}{15} = -\frac{2}{5}\)

2. в) \(-1\frac{1}{6}:(-\frac{1}{2}) = -\frac{7}{6}:(-\frac{1}{2}) = -\frac{7}{6} \cdot (-2) = \frac{7 \cdot 2}{6} = \frac{7}{3}\)

3. д) \(0,1 : (-\frac{1}{23}) = \frac{1}{10} : (-\frac{1}{23}) = \frac{1}{10} \cdot (-23) = -\frac{23}{10} = -2,3\)