1. Выполните действия: 1) 8 + 2/15 2) 11/35 + 2/22 3) 5/7 + 7/21 4) 12/24 - 5/3

Решение:

1. \( 8 + \frac{2}{15} = \frac{8 \cdot 15}{15} + \frac{2}{15} = \frac{120 + 2}{15} = \frac{122}{15} \)
2. \( \frac{11}{35} + \frac{2}{22} = \frac{11}{35} + \frac{1}{11} = \frac{11 \cdot 11 + 35 \cdot 1}{35 \cdot 11} = \frac{121 + 35}{385} = \frac{156}{385} \)
3. \( \frac{5}{7} + \frac{7}{21} = \frac{5 \cdot 3}{21} + \frac{7}{21} = \frac{15 + 7}{21} = \frac{22}{21} \)
4. \( \frac{12}{24} - \frac{5}{3} = \frac{1}{2} - \frac{5}{3} = \frac{1 \cdot 3 - 5 \cdot 2}{6} = \frac{3 - 10}{6} = -\frac{7}{6} \)

Ответ: 1) \(\frac{122}{15}\); 2) \(\frac{156}{385}\); 3) \(\frac{22}{21}\); 4) \(-\frac{7}{6}\).