2. Выполните вычитание: a) \(\frac{6}{7} - \frac{2}{3}\) б) \(\frac{11}{12} - \frac{5}{6}\) в) \(\frac{7}{12} - \frac{3}{8}\) г) \(\frac{9}{14} - \frac{19}{35}\)

Решение:

1. а) \( \frac{6}{7} - \frac{2}{3} = \frac{6 \cdot 3 - 2 \cdot 7}{21} = \frac{18-14}{21} = \frac{4}{21} \)
2. б) \( \frac{11}{12} - \frac{5}{6} = \frac{11}{12} - \frac{5 \cdot 2}{12} = \frac{11-10}{12} = \frac{1}{12} \)
3. в) \( \frac{7}{12} - \frac{3}{8} = \frac{7 \cdot 2 - 3 \cdot 3}{24} = \frac{14-9}{24} = \frac{5}{24} \)
4. г) \( \frac{9}{14} - \frac{19}{35} = \frac{9 \cdot 5 - 19 \cdot 2}{70} = \frac{45-38}{70} = \frac{7}{70} = \frac{1}{10} \)

Ответ: а) \(\frac{4}{21}\); б) \(\frac{1}{12}\); в) \(\frac{5}{24}\); г) \(\frac{1}{10}\).