14. Вычислите: $$\frac{8}{15} + (2 - 1\frac{13}{28}) : \frac{25}{49} - 1\frac{1}{4}$$. Запишите полностью решение и ответ.

Решение: 1. $$2 - 1\frac{13}{28} = 2 - \frac{41}{28} = \frac{56}{28} - \frac{41}{28} = \frac{15}{28}$$ 2. $$\frac{15}{28} : \frac{25}{49} = \frac{15}{28} * \frac{49}{25} = \frac{3*5}{4*7} * \frac{7*7}{5*5} = \frac{3*7}{4*5} = \frac{21}{20}$$ 3. $$\frac{8}{15} + \frac{21}{20} = \frac{8*4}{15*4} + \frac{21*3}{20*3} = \frac{32}{60} + \frac{63}{60} = \frac{95}{60} = \frac{19}{12}$$ 4. $$1\frac{1}{4} = \frac{5}{4}$$ 5. $$\frac{19}{12} - \frac{5}{4} = \frac{19}{12} - \frac{5*3}{4*3} = \frac{19}{12} - \frac{15}{12} = \frac{4}{12} = \frac{1}{3}$$ Ответ: $$\frac{1}{3}$$