3. Вычислите: 3-\(\frac{9}{10}\) - (2-\(\frac{11}{35}\)) : \(\frac{9}{49}\) + \(\frac{1}{2}\). Запишите полностью решение и ответ.

Решение:

1. \(3 - \frac{9}{10} = \frac{30}{10} - \frac{9}{10} = \frac{21}{10}\)
2. \(2 - \frac{11}{35} = \frac{70}{35} - \frac{11}{35} = \frac{59}{35}\)
3. \(\frac{59}{35} : \frac{9}{49} = \frac{59}{35} \times \frac{49}{9} = \frac{59 \times 7}{5 \times 9} = \frac{413}{45}\)
4. \(\frac{21}{10} - \frac{413}{45} = \frac{21 \times 9}{10 \times 9} - \frac{413 \times 2}{45 \times 2} = \frac{189}{90} - \frac{826}{90} = -\frac{637}{90}\)
5. \(-\frac{637}{90} + \frac{1}{2} = -\frac{637}{90} + \frac{1 \times 45}{2 \times 45} = -\frac{637}{90} + \frac{45}{90} = -\frac{592}{90} = -\frac{296}{45}\)

Ответ: -\(\frac{296}{45}\)