Выполните действия: 1)-5,4: 0,6+9,6: (-0,8); 2)-3,560,8: (-0,16); 3)-21,6: (-0,12) + 9,6: (8,9 – 11,3). Вычислите: 21 3) (4+3):3

Выполните действия:

1. -5,4 : 0,6 + 9,6 : (-0,8) = -9 + (-12) = -9 - 12 = -21

2. -3,5 \cdot 6 - 0,8 : (-0,16) = -21 - (-5) = -21 + 5 = -16

3. -21,6 : (-0,12) + 9,6 : (8,9 - 11,3) = 180 + 9,6 : (-2,4) = 180 + (-4) = 180 - 4 = 176

Вычислите:

1. \[\left(-\frac{3}{14} - \frac{8}{21}\right) : \frac{20}{21} = \left(-\frac{9}{42} - \frac{16}{42}\right) : \frac{20}{21} = -\frac{25}{42} : \frac{20}{21} = -\frac{25}{42} \cdot \frac{21}{20} = -\frac{5}{2} \cdot \frac{1}{4} = -\frac{5}{8}\]

   Ответ: -\[\frac{5}{8}\]

2. \[\frac{3}{8} : \left(-\frac{5}{8}\right) - \left(-2\frac{1}{4}\right) : \left(-1\frac{4}{11}\right) = \frac{3}{8} : \left(-\frac{5}{8}\right) - \left(-\frac{9}{4}\right) : \left(-\frac{15}{11}\right) = \frac{3}{8} \cdot \left(-\frac{8}{5}\right) - \frac{9}{4} \cdot \frac{11}{15} = -\frac{3}{5} - \frac{3}{4} \cdot \frac{11}{5} = -\frac{3}{5} - \frac{33}{20} = -\frac{12}{20} - \frac{33}{20} = -\frac{45}{20} = -\frac{9}{4} = -2\frac{1}{4}\]

   Ответ: -\[2\frac{1}{4}\]

3. \[\left(-4\frac{1}{12} + 3\frac{9}{10}\right) : 3\frac{3}{10} = \left(-\frac{49}{12} + \frac{39}{10}\right) : \frac{33}{10} = \left(-\frac{245}{60} + \frac{234}{60}\right) : \frac{33}{10} = -\frac{11}{60} : \frac{33}{10} = -\frac{11}{60} \cdot \frac{10}{33} = -\frac{1}{6} \cdot \frac{1}{3} = -\frac{1}{18}\]

   Ответ: -\[\frac{1}{18}\]

4. \[\left(\frac{11}{14} - \frac{5}{6}\right) : \left(\frac{11}{14} - \frac{3}{4}\right) = \left(\frac{33}{42} - \frac{35}{42}\right) : \left(\frac{22}{28} - \frac{21}{28}\right) = -\frac{2}{42} : \frac{1}{28} = -\frac{1}{21} \cdot 28 = -\frac{1}{3} \cdot 4 = -\frac{4}{3} = -1\frac{1}{3}\]

   Ответ: -\[1\frac{1}{3}\]