13) Вычислите: 11\(\frac{2}{3}\) : (\(\frac{13}{15}\) - \(\frac{4}{5}\)) + 3\(\frac{1}{7}\) ⋅ 2.

Решение:

1. \(11\frac{2}{3} = \frac{35}{3}\)
2. \(3\frac{1}{7} = \frac{22}{7}\)
3. \(\frac{13}{15} - \frac{4}{5} = \frac{13}{15} - \frac{12}{15} = \frac{1}{15}\)
4. \(\frac{35}{3} : \frac{1}{15} = \frac{35}{3} \cdot 15 = 35 \cdot 5 = 175\)
5. \(\frac{22}{7} \cdot 2 = \frac{44}{7}\)
6. \(175 + \frac{44}{7} = \frac{175 \cdot 7}{7} + \frac{44}{7} = \frac{1225 + 44}{7} = \frac{1269}{7} = 181\frac{2}{7}\)

Ответ: \(181\frac{2}{7}\)