222. Выполните действие и сократите результат: 1) 16/63 + 12/63 2) 53/85 - 19/85 3) 8 34/81 + 2 38/81 4) 3 49/56 - 3 17/56

Решение:

1. \( \frac{16}{63} + \frac{12}{63} = \frac{16+12}{63} = \frac{28}{63} = \frac{4}{9} \)
2. \( \frac{53}{85} - \frac{19}{85} = \frac{53-19}{85} = \frac{34}{85} = \frac{2}{5} \)
3. \( 8 \frac{34}{81} + 2 \frac{38}{81} = (8+2) + \left( \frac{34}{81} + \frac{38}{81} \right) = 10 + \frac{34+38}{81} = 10 + \frac{72}{81} = 10 + \frac{8}{9} = 10 \frac{8}{9} \)
4. \( 3 \frac{49}{56} - 3 \frac{17}{56} = (3-3) + \left( \frac{49}{56} - \frac{17}{56} \right) = 0 + \frac{49-17}{56} = \frac{32}{56} = \frac{4}{7} \)

Ответ: 1) \( \frac{4}{9} \); 2) \( \frac{2}{5} \); 3) \( 10 \frac{8}{9} \); 4) \( \frac{4}{7} \).