6.240 Вычислите: 41 45 a) 4 +4 13 13 5 б) 7-2; B) 9-; г) + 8.

1. а) \(4 \frac{1}{13} + 4 \frac{5}{13} = (4 + 4) + (\frac{1}{13} + \frac{5}{13}) = 8 + \frac{6}{13} = 8 \frac{6}{13}\)
2. б) \(7 \frac{3}{5} - 2 \frac{2}{5} = (7 - 2) + (\frac{3}{5} - \frac{2}{5}) = 5 + \frac{1}{5} = 5 \frac{1}{5}\)
3. в) \(9 \frac{7}{8} - \frac{5}{32} = 9 + (\frac{7}{8} - \frac{5}{32}) = 9 + (\frac{7 \cdot 4}{8 \cdot 4} - \frac{5}{32}) = 9 + (\frac{28}{32} - \frac{5}{32}) = 9 + \frac{23}{32} = 9 \frac{23}{32}\)
4. г) \(\frac{6}{12} + 8 \frac{1}{18} = \frac{1}{2} + 8 \frac{1}{18} = 8 + (\frac{1}{2} + \frac{1}{18}) = 8 + (\frac{1 \cdot 9}{2 \cdot 9} + \frac{1}{18}) = 8 + (\frac{9}{18} + \frac{1}{18}) = 8 + \frac{10}{18} = 8 + \frac{5}{9} = 8 \frac{5}{9}\)

Ответ: a) \(8 \frac{6}{13}\); б) \(5 \frac{1}{5}\); в) \(9 \frac{23}{32}\); г) \(8 \frac{5}{9}\)