Выполни действия: \[\left(1,3 - 3\frac{7}{15}\right) : 0,7 + 2,4 \cdot \left(-4\frac{1}{6}\right)\]

Решение

1) \(1,3 - 3\frac{7}{15} = 1\frac{3}{10} - 3\frac{7}{15} = \frac{13}{10} - \frac{52}{15} = \frac{39}{30} - \frac{104}{30} = -\frac{65}{30} = -\frac{13}{6}\)

2) \(-\frac{13}{6} : 0,7 = -\frac{13}{6} : \frac{7}{10} = -\frac{13}{6} \cdot \frac{10}{7} = -\frac{130}{42} = -\frac{65}{21}\)

3) \(2,4 \cdot \left(-4\frac{1}{6}\right) = \frac{24}{10} \cdot \left(-\frac{25}{6}\right) = \frac{12}{5} \cdot \left(-\frac{25}{6}\right) = -\frac{300}{30} = -10\)

4) \(-\frac{65}{21} + (-10) = -\frac{65}{21} - 10 = -\frac{65}{21} - \frac{210}{21} = -\frac{275}{21} = -13\frac{2}{21}\)

Ответ: -13\(\frac{2}{21}\)