1) $$11\frac{2}{3} : 3\frac{1}{9} = \frac{35}{3} : \frac{28}{9} = \frac{35}{3} \cdot \frac{9}{28} = \frac{5}{1} \cdot \frac{3}{4} = \frac{15}{4} = 3\frac{3}{4}$$
2) $$2\frac{1}{4} : 3\frac{3}{5} = \frac{9}{4} : \frac{18}{5} = \frac{9}{4} \cdot \frac{5}{18} = \frac{1}{4} \cdot \frac{5}{2} = \frac{5}{8}$$
3) $$5\frac{5}{6} : \frac{7}{18} = \frac{35}{6} : \frac{7}{18} = \frac{35}{6} \cdot \frac{18}{7} = \frac{5}{1} \cdot \frac{3}{1} = 15$$
Ответ: 1) $$3\frac{3}{4}$$; 2) $$\frac{5}{8}$$; 3) 15