Выполните действия: 1) 19/28 + 16/28 - 17/28 2) 4 11/14 - 2 5/14 + 1 3/14 3) 1 - 8/17 4) 4 5/9 - 2 8/9

Решение:

1. \( \frac{19}{28} + \frac{16}{28} - \frac{17}{28} = \frac{19 + 16 - 17}{28} = \frac{35 - 17}{28} = \frac{18}{28} = \frac{9}{14} \)
2. \( 4 \frac{11}{14} - 2 \frac{5}{14} + 1 \frac{3}{14} = \frac{4 \cdot 14 + 11}{14} - \frac{2 \cdot 14 + 5}{14} + \frac{1 \cdot 14 + 3}{14} = \frac{56 + 11}{14} - \frac{28 + 5}{14} + \frac{14 + 3}{14} = \frac{67}{14} - \frac{33}{14} + \frac{17}{14} = \frac{67 - 33 + 17}{14} = \frac{34 + 17}{14} = \frac{51}{14} = 3 \frac{9}{14} \)
3. \( 1 - \frac{8}{17} = \frac{17}{17} - \frac{8}{17} = \frac{17 - 8}{17} = \frac{9}{17} \)
4. \( 4 \frac{5}{9} - 2 \frac{8}{9} = \frac{4 \cdot 9 + 5}{9} - \frac{2 \cdot 9 + 8}{9} = \frac{36 + 5}{9} - \frac{18 + 8}{9} = \frac{41}{9} - \frac{26}{9} = \frac{41 - 26}{9} = \frac{15}{9} = \frac{5}{3} = 1 \frac{2}{3} \)

Ответ: 1) \( \frac{9}{14} \); 2) \( 3 \frac{9}{14} \); 3) \( \frac{9}{17} \); 4) \( 1 \frac{2}{3} \).