1. Вычислить: 1) $$-3\frac{1}{8} \cdot 16$$ 2) $$-2,84 - 5,49$$ 3) $$2 - (-6) - 8$$ 4) $$-2\frac{4}{15} : (-1,7)$$ 5) $$3\frac{3}{4} - 5\frac{5}{6}$$

Разберем каждый пример по порядку:

1) $$-3\frac{1}{8} \cdot 16 = -\frac{25}{8} \cdot 16 = -\frac{25 \cdot 16}{8} = -25 \cdot 2 = -50$$

2) $$-2,84 - 5,49 = - (2,84 + 5,49) = -8,33$$

3) $$2 - (-6) - 8 = 2 + 6 - 8 = 8 - 8 = 0$$

4) $$-2\frac{4}{15} : (-1,7) = -\frac{34}{15} : (-1,7) = \frac{34}{15} : \frac{17}{10} = \frac{34}{15} \cdot \frac{10}{17} = \frac{2 \cdot 17}{3 \cdot 5} \cdot \frac{2 \cdot 5}{17} = \frac{2 \cdot 2}{3} = \frac{4}{3} = 1\frac{1}{3}$$

5) $$3\frac{3}{4} - 5\frac{5}{6} = \frac{15}{4} - \frac{35}{6} = \frac{15 \cdot 3}{4 \cdot 3} - \frac{35 \cdot 2}{6 \cdot 2} = \frac{45}{12} - \frac{70}{12} = -\frac{25}{12} = -2\frac{1}{12}$$