a) $$\frac{5}{9}:1\frac{2}{9}=\frac{5}{9}:\frac{11}{9}=\frac{5}{9}\cdot\frac{9}{11}=\frac{5\cdot1}{1\cdot11}=\frac{5}{11}$$
б) $$2\frac{2}{5}:8=\frac{12}{5}:8=\frac{12}{5}\cdot\frac{1}{8}=\frac{3\cdot1}{5\cdot2}=\frac{3}{10}$$
в) $$4\frac{1}{2}:2=\frac{9}{2}:2=\frac{9}{2}\cdot\frac{1}{2}=\frac{9\cdot1}{2\cdot2}=\frac{9}{4}=2\frac{1}{4}$$
г) $$2\frac{2}{3}:1\frac{1}{7}=\frac{8}{3}:\frac{8}{7}=\frac{8}{3}\cdot\frac{7}{8}=\frac{1\cdot7}{3\cdot1}=\frac{7}{3}=2\frac{1}{3}$$
д) $$2\frac{11}{12}:5\frac{5}{6}=\frac{35}{12}:\frac{35}{6}=\frac{35}{12}\cdot\frac{6}{35}=\frac{1\cdot1}{2\cdot1}=\frac{1}{2}$$
е) $$3\frac{1}{2}:4\frac{2}{3}=\frac{7}{2}:\frac{14}{3}=\frac{7}{2}\cdot\frac{3}{14}=\frac{1\cdot3}{2\cdot2}=\frac{3}{4}$$
Ответ: a) $$\frac{5}{11}$$; б) $$\frac{3}{10}$$; в) $$2\frac{1}{4}$$; г) $$2\frac{1}{3}$$; д) $$\frac{1}{2}$$; е) $$\frac{3}{4}$$