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

Решение:

1. \( -3\frac{1}{6} \cdot 16 = -\frac{19}{6} \cdot 16 = -\frac{19 \cdot 8}{3} = -\frac{152}{3} = -50\frac{2}{3} \)
2. \( -2,84 - 5,49 = -8,33 \)
3. \( 2 - (-6) - 8 = 2 + 6 - 8 = 8 - 8 = 0 \)
4. \( -2\frac{1}{5} : (-1,7) = -\frac{11}{5} : (-\frac{17}{10}) = \frac{11}{5} \cdot \frac{10}{17} = \frac{11 \cdot 2}{17} = \frac{22}{17} = 1\frac{5}{17} \)
5. \( 3\frac{3}{4} - 5\frac{5}{6} = \frac{15}{4} - \frac{35}{6} = \frac{15 \cdot 3 - 35 \cdot 2}{12} = \frac{45 - 70}{12} = -\frac{25}{12} = -2\frac{1}{12} \)

Ответ: 1) -50\(\frac{2}{3}\); 2) -8,33; 3) 0; 4) 1\(\frac{5}{17}\); 5) -2\(\frac{1}{12}\).