Вариант 2. 5. Решите уравнения: 1) 8 7/9 − x = 3 5/6; 2) (x − 5/6) + 11/18 = 19/24.

1. \(8\frac{7}{9}-x=3\frac{5}{6}\).
   \(x=8\frac{7}{9}-3\frac{5}{6}=8\frac{14}{18}-3\frac{15}{18}=4\frac{17}{18}\).
2. \(x-\frac{5}{6}+\frac{11}{18}=\frac{19}{24}\).
   \(-\frac{5}{6}+\frac{11}{18}=-\frac{15}{18}+\frac{11}{18}=-\frac{2}{9}\), поэтому \(x-\frac{2}{9}=\frac{19}{24}\).
   \(x=\frac{19}{24}+\frac{2}{9}=\frac{57}{72}+\frac{16}{72}=\frac{73}{72}=1\frac{1}{72}\).

Ответ: 1) \(x=4\frac{17}{18}\); 2) \(x=1\frac{1}{72}\).