10. Найдите значение выражения \(\left( \frac{5}{6} - 3\frac{2}{3} \right) : \frac{21}{50}\)

Решение:

1. \(3\frac{2}{3} = \frac{3 \cdot 3 + 2}{3} = \frac{11}{3}\)
2. \(\frac{5}{6} - \frac{11}{3} = \frac{5 - 22}{6} = -\frac{17}{6}\)
3. \(-\frac{17}{6} : \frac{21}{50} = -\frac{17}{6} \cdot \frac{50}{21} = -\frac{17 \cdot 25}{3 \cdot 21} = -\frac{425}{63}\)

Ответ: -\(\frac{425}{63}\).