2) \(6-2\frac{4}{5}\)\(\cdot\) 3\(\frac{1}{8}\)-1\(\frac{3}{5}\):\(\frac{1}{4}\)

Решение:

1. Первое действие: вычитание в скобках.
• \(6 - 2\frac{4}{5}\) = \(6 - \frac{14}{5}\) = \(\frac{30}{5} - \frac{14}{5}\) = \(\frac{16}{5}\)
2. Второе действие: умножение.
• \(\frac{16}{5}\) \(\times\) \(3\frac{1}{8}\) = \(\frac{16}{5}\) \(\times\) \(\frac{25}{8}\) = \(\frac{16 \times 25}{5 \times 8}\) = \(\frac{2 \times 5}{1}\) = \(10\)
3. Третье действие: деление.
• \(1\frac{3}{5}\) = \(\frac{8}{5}\)
• \(\frac{8}{5}\) : \(\frac{1}{4}\) = \(\frac{8}{5}\) \(\times\) \(4\) = \(\frac{32}{5}\)
4. Четвертое действие: вычитание.
• \(10 - \frac{32}{5}\) = \(\frac{50}{5} - \frac{32}{5}\) = \(\frac{18}{5}\)

Ответ: \(\frac{18}{5}\)