Решим данные примеры на вычитание дробей.
1) \(\frac{2}{5} - \frac{1}{6} = \frac{2 \cdot 6}{5 \cdot 6} - \frac{1 \cdot 5}{6 \cdot 5} = \frac{12}{30} - \frac{5}{30} = \frac{12 - 5}{30} = \frac{7}{30}\)
2) \(\frac{6}{7} - \frac{2}{3} = \frac{6 \cdot 3}{7 \cdot 3} - \frac{2 \cdot 7}{3 \cdot 7} = \frac{18}{21} - \frac{14}{21} = \frac{18 - 14}{21} = \frac{4}{21}\)
3) \(\frac{7}{9} - \frac{2}{7} = \frac{7 \cdot 7}{9 \cdot 7} - \frac{2 \cdot 9}{7 \cdot 9} = \frac{49}{63} - \frac{18}{63} = \frac{49 - 18}{63} = \frac{31}{63}\)
4) \(\frac{12}{13} - \frac{9}{10} = \frac{12 \cdot 10}{13 \cdot 10} - \frac{9 \cdot 13}{10 \cdot 13} = \frac{120}{130} - \frac{117}{130} = \frac{120 - 117}{130} = \frac{3}{130}\)
Ответ: 7/30; 4/21; 31/63; 3/130