10. Решите уравнения:

Решение:

1. \( 12 - x = 1\frac{1}{9} \)
   \( x = 12 - 1\frac{1}{9} = 12 - \frac{10}{9} = \frac{108 - 10}{9} = \frac{98}{9} = 10\frac{8}{9} \)
2. \( 5\frac{8}{9} + x = 7\frac{1}{18} \)
   \( x = 7\frac{1}{18} - 5\frac{8}{9} = \frac{127}{18} - \frac{53}{9} = \frac{127 - 106}{18} = \frac{21}{18} = \frac{7}{6} = 1\frac{1}{6} \)
3. \( x + \frac{2}{9} = \frac{5}{6} \)
   \( x = \frac{5}{6} - \frac{2}{9} = \frac{15 - 4}{18} = \frac{11}{18} \)

Ответ: \(x = 10\frac{8}{9}\); \(x = 1\frac{1}{6}\); \(x = \frac{11}{18}\).