Решим примеры:
1) \(2 + \frac{7}{8} = \frac{2 \cdot 8}{8} + \frac{7}{8} = \frac{16}{8} + \frac{7}{8} = \frac{16+7}{8} = \frac{23}{8}\)
Ответ: \(\frac{23}{8}\)
2) \(2 - \frac{7}{8} = \frac{2 \cdot 8}{8} - \frac{7}{8} = \frac{16}{8} - \frac{7}{8} = \frac{16-7}{8} = \frac{9}{8}\)
Ответ: \(\frac{9}{8}\)
3) \(4 \frac{5}{7} + 2 \frac{1}{7} = (4 + 2) + (\frac{5}{7} + \frac{1}{7}) = 6 + \frac{5+1}{7} = 6 + \frac{6}{7} = 6 \frac{6}{7}\)
Ответ: \(6 \frac{6}{7}\)
4) \(4 \frac{5}{7} - 2 \frac{1}{7} = (4 - 2) + (\frac{5}{7} - \frac{1}{7}) = 2 + \frac{5-1}{7} = 2 + \frac{4}{7} = 2 \frac{4}{7}\)
Ответ: \(2 \frac{4}{7}\)
5) \(2 \frac{1}{6} + 1 \frac{5}{6} = (2 + 1) + (\frac{1}{6} + \frac{5}{6}) = 3 + \frac{1+5}{6} = 3 + \frac{6}{6} = 3 + 1 = 4\)
Ответ: 4
6) \(2 \frac{1}{6} - 1 \frac{5}{6} = \frac{2 \cdot 6 + 1}{6} - \frac{1 \cdot 6 + 5}{6} = \frac{13}{6} - \frac{11}{6} = \frac{13 - 11}{6} = \frac{2}{6} = \frac{1}{3}\)
Ответ: \(\frac{1}{3}\)