9. Вычислите: 5 - (3-\(\frac{7}{20}\)) : \(\frac{9}{25}\) + \(\frac{1}{8}\). Запишите полностью решение и ответ.

Решение:

1. \(3 - \frac{7}{20} = \frac{60}{20} - \frac{7}{20} = \frac{53}{20}\)
2. \(\frac{53}{20} : \frac{9}{25} = \frac{53}{20} \times \frac{25}{9} = \frac{53 \times 5}{4 \times 9} = \frac{265}{36}\)
3. \(5 - \frac{265}{36} = \frac{5 \times 36}{36} - \frac{265}{36} = \frac{180}{36} - \frac{265}{36} = -\frac{85}{36}\)
4. \(-\frac{85}{36} + \frac{1}{8} = -\frac{85 \times 2}{36 \times 2} + \frac{1 \times 9}{8 \times 9} = -\frac{170}{72} + \frac{9}{72} = -\frac{161}{72}\)

Ответ: -\(\frac{161}{72}\)