$$\frac{1}{6} + \frac{8}{9} = \frac{1 \cdot 3}{6 \cdot 3} + \frac{8 \cdot 2}{9 \cdot 2} = \frac{3}{18} + \frac{16}{18} = \frac{19}{18}$$
Ответ: $$\frac{19}{18}$$