\( 57 : \frac{9}{11} + 33 \cdot 1 \frac{2}{9} = 57 \cdot \frac{11}{9} + 33 \cdot \frac{11}{9} = \frac{57 \cdot 11}{9} + \frac{33 \cdot 11}{9} = \frac{627}{9} + \frac{363}{9} = \frac{990}{9} = 110 \)
Ответ: 110.