4. Тип 13 № 1828 i 35 1 5 10 Вычислите: 36 +(32+14)6:27. 36 +(32+14)6:27. Запишите полностью решение и ответ.

Ответ: \(\frac{325}{162}\)

1. \(\frac{1}{2} + \frac{5}{14} = \frac{7}{14} + \frac{5}{14} = \frac{12}{14} = \frac{6}{7}\)
2. \(\frac{5}{6} : \frac{10}{27} = \frac{5 \cdot 27}{6 \cdot 10} = \frac{27}{12} = \frac{9}{4}\)
3. \(\frac{6}{7} \cdot \frac{9}{4} = \frac{3 \cdot 9}{7 \cdot 2} = \frac{27}{14}\)
4. \(\frac{35}{36} + \frac{27}{14} = \frac{35 \cdot 7 + 27 \cdot 18}{36 \cdot 7} = \frac{245 + 486}{252} = \frac{731}{252}\)
5. \(\frac{35}{36} + (\frac{1}{2} + \frac{5}{14}) \cdot \frac{5}{6} : \frac{10}{27} = \frac{731}{252}\)

Ответ: \(\frac{731}{252}\)