Выполни действия: \[\left(-\frac{7}{12} - 1\frac{3}{4}\right) : 2,8 + 5\frac{1}{3} \cdot (-0,75)\]

Ответ: -5,5

Решение:

1. \(-\frac{7}{12} - 1\frac{3}{4} = -\frac{7}{12} - \frac{7}{4} = -\frac{7}{12} - \frac{7 \cdot 3}{4 \cdot 3} = -\frac{7}{12} - \frac{21}{12} = -\frac{28}{12} = -\frac{7}{3}\)
2. \(-\frac{7}{3} : 2,8 = -\frac{7}{3} : \frac{28}{10} = -\frac{7}{3} : \frac{14}{5} = -\frac{7}{3} \cdot \frac{5}{14} = -\frac{1}{3} \cdot \frac{5}{2} = -\frac{5}{6}\)
3. \(5\frac{1}{3} \cdot (-0,75) = \frac{16}{3} \cdot (-\frac{75}{100}) = \frac{16}{3} \cdot (-\frac{3}{4}) = \frac{4}{1} \cdot (-1) = -4\)
4. \(-\frac{5}{6} + (-4) = -\frac{5}{6} - 4 = -\frac{5}{6} - \frac{4 \cdot 6}{6} = -\frac{5}{6} - \frac{24}{6} = -\frac{29}{6} = -4\frac{5}{6}\)

Ответ: -4 ⁵/₆