Решите уравнение: 1) 8\frac{7}{9} - x = 3\frac{5}{6}; 2) (x - \frac{5}{6}) + \frac{11}{18} = \frac{19}{24}.

1) 8\frac{7}{9} - x = 3\frac{5}{6}. x = 8\frac{7}{9} - 3\frac{5}{6} = 8 + \frac{7}{9} - 3 - \frac{5}{6} = 5 + \frac{7}{9} - \frac{5}{6} = 5 + \frac{7 \cdot 2}{9 \cdot 2} - \frac{5 \cdot 3}{6 \cdot 3} = 5 + \frac{14}{18} - \frac{15}{18} = 5 - \frac{1}{18} = 4\frac{17}{18}. Ответ: x = 4\frac{17}{18}. 2) (x - \frac{5}{6}) + \frac{11}{18} = \frac{19}{24}. x - \frac{5}{6} = \frac{19}{24} - \frac{11}{18} = \frac{19 \cdot 3}{24 \cdot 3} - \frac{11 \cdot 4}{18 \cdot 4} = \frac{57}{72} - \frac{44}{72} = \frac{13}{72}. x = \frac{13}{72} + \frac{5}{6} = \frac{13}{72} + \frac{5 \cdot 12}{6 \cdot 12} = \frac{13}{72} + \frac{60}{72} = \frac{73}{72} = 1\frac{1}{72}. Ответ: x = 1\frac{1}{72}.