Calculate the following expressions: -2.3 + (-6.2) -2.9 + (-5.7) -1/6 + (-2/3) -1/14 - (-2/7) 3 2/3 - 1 7/15

Решение:

1. \( -2.3 + (-6.2) = -2.3 - 6.2 = -8.5 \)
2. \( -2.9 + (-5.7) = -2.9 - 5.7 = -8.6 \)
3. \( -\frac{1}{6} + \left(-\frac{2}{3}\right) = -\frac{1}{6} - \frac{2}{3} = -\frac{1}{6} - \frac{4}{6} = -\frac{5}{6} \)
4. \( -\frac{1}{14} - \left(-\frac{2}{7}\right) = -\frac{1}{14} + \frac{2}{7} = -\frac{1}{14} + \frac{4}{14} = \frac{3}{14} \)
5. \( 3\frac{2}{3} - 1\frac{7}{15} = \frac{11}{3} - \frac{22}{15} = \frac{55}{15} - \frac{22}{15} = \frac{33}{15} = \frac{11}{5} = 2\frac{1}{5} \)

Ответ: -8.5; -8.6; -5/6; 3/14; 11/5.