2. Вычислите: 14 \frac{11}{14} + \frac{8}{15} : (4 - 2 \frac{26}{27}) - \frac{1}{10}. Запишите полностью решение и ответ.

2. Вычислите: $$14 \frac{11}{14} + \frac{8}{15} : (4 - 2 \frac{26}{27}) - \frac{1}{10}$$.

Решение:

1. \(4 - 2 \frac{26}{27} = 4 - \frac{80}{27} = \frac{4}{1}^{\frac{27}{}} - \frac{80}{27} = \frac{108 - 80}{27} = \frac{28}{27}\)
2. \(\frac{8}{15} : \frac{28}{27} = \frac{8}{15} \cdot \frac{27}{28} = \frac{8 \cdot 27}{15 \cdot 28} = \frac{2 \cdot 9}{5 \cdot 7} = \frac{18}{35}\)
3. \(14 \frac{11}{14} + \frac{18}{35} - \frac{1}{10} = 14 \frac{11}{14}^{\frac{5}{}} + \frac{18}{35}^{\frac{2}{}} - \frac{1}{10}^{\frac{7}{}} = 14 \frac{55}{70} + \frac{36}{70} - \frac{7}{70} = 14 \frac{55 + 36 - 7}{70} = 14 \frac{84}{70} = 14 + \frac{84}{70} = 14 + \frac{6}{5} = 14 + 1 \frac{1}{5} = 15 \frac{1}{5}\)

Ответ: $$15 \frac{1}{5}$$