1. Найдите значение выражения: 1) \((-1,56 - 1,24) x (-1 \frac{5}{14})\); 2) \((\frac{4}{9} - 3 \frac{7}{12}) : (-1 \frac{8}{27})\)

Решение:

1. \( -1,56 - 1,24 = -2,8 \). \( -1 \frac{5}{14} = - \frac{19}{14} \). \( -2,8 \times (-\frac{19}{14}) = -\frac{28}{10} \times (-\frac{19}{14}) = -\frac{14}{5} \times (-\frac{19}{14}) = \frac{19}{5} = 3,8 \).
2. \( \frac{4}{9} - 3 \frac{7}{12} = \frac{4}{9} - \frac{43}{12} = \frac{16 - 129}{36} = -\frac{113}{36} \). \( -1 \frac{8}{27} = -\frac{35}{27} \). \( -\frac{113}{36} : (-\frac{35}{27}) = \frac{113}{36} \times \frac{27}{35} = \frac{113 \cdot 3}{4 \cdot 35} = \frac{339}{140} = 2 \frac{59}{140} \).

Ответ: 1) 3,8; 2) \( 2 \frac{59}{140} \).