$$4\frac{11}{18}+\frac{7}{9}=4\frac{11}{18}+\frac{7 \cdot 2}{9 \cdot 2}=4\frac{11}{18}+\frac{14}{18}=4\frac{25}{18}=5\frac{7}{18}$$
Ответ: $$5\frac{7}{18}$$