4240 Вычислите: a) \(\frac{4}{13}\) + \(\frac{45}{13}\) b) \(\frac{73}{5}\) - \(\frac{22}{5}\) v) \(\frac{97}{8}\) - \(\frac{5}{32}\) r) \(\frac{6}{12}\) + \(\frac{8}{18}\)

Ответ: a) \(\frac{49}{13}\), б) \(\frac{51}{5}\), в) \(\frac{383}{32}\), г) \(\frac{7}{6}\)

1. а) \(\frac{4}{13} + \frac{45}{13}\) = \(\frac{4 + 45}{13}\) = \(\frac{49}{13}\)
2. б) \(\frac{73}{5} - \frac{22}{5}\) = \(\frac{73 - 22}{5}\) = \(\frac{51}{5}\)
3. в) \(\frac{97}{8} - \frac{5}{32}\) = \(\frac{97 \cdot 4}{8 \cdot 4} - \(\frac{5}{32}\) = \(\frac{388}{32} - \frac{5}{32}\) = \(\frac{388 - 5}{32}\) = \(\frac{383}{32}\)
4. г) \(\frac{6}{12} + \frac{8}{18}\) = \(\frac{6 \cdot 3}{12 \cdot 3} + \frac{8 \cdot 2}{18 \cdot 2}\) = \(\frac{18}{36} + \frac{16}{36}\) = \(\frac{18 + 16}{36}\) = \(\frac{34}{36}\) = \(\frac{17}{18}\)

Ответ: a) \(\frac{49}{13}\), б) \(\frac{51}{5}\), в) \(\frac{383}{32}\), г) \(\frac{7}{6}\)