e) \(6\frac{3}{5} \cdot 7\frac{1}{6} - 2\frac{1}{6} \cdot 6\frac{3}{5}\)

Решение:

Используем распределительное свойство умножения: (a \(\cdot\) b - a \(\cdot\) c = a \(\cdot\) (b - c))

(6\(\frac{3}{5}\) \(\cdot\) 7\(\frac{1}{6}\) - 2\(\frac{1}{6}\) \(\cdot\) 6\(\frac{3}{5}\) = 6\(\frac{3}{5}\) \(\cdot\) \(7\frac{1}{6} - 2\frac{1}{6}\) = 6\(\frac{3}{5}\) \(\cdot\) \(7 - 2 + \frac{1}{6} - \frac{1}{6}\) = 6\(\frac{3}{5}\) \(\cdot\) 5 = \(\frac{33}{5}\) \(\cdot\) 5 = 33)

Ответ: 33