101. (\(-\frac{2}{3} + 0,5\)) \(\cdot\) \((1,2 - \frac{5}{6}) - \frac{1}{4}\)

Решение:

Выполним действия по порядку:

1. \( -\frac{2}{3} + 0,5 = -\frac{2}{3} + \frac{1}{2} = -\frac{4}{6} + \frac{3}{6} = -\frac{1}{6} \)
2. \( 1,2 - \frac{5}{6} = \frac{12}{10} - \frac{5}{6} = \frac{6}{5} - \frac{5}{6} = \frac{36}{30} - \frac{25}{30} = \frac{11}{30} \)
3. \( -\frac{1}{6} \cdot (\frac{11}{30} - \frac{1}{4}) \)
4. \( \frac{11}{30} - \frac{1}{4} = \frac{44}{120} - \frac{30}{120} = \frac{14}{120} = \frac{7}{60} \)
5. \( -\frac{1}{6} \cdot \frac{7}{60} = -\frac{7}{360} \)

Ответ: -\(\frac{7}{360}\).