Решение:
1) $$\frac{5}{9} + \frac{2}{9} = \frac{5+2}{9} = \frac{7}{9}$$
2) $$\frac{5}{9} - \frac{2}{9} = \frac{5-2}{9} = \frac{3}{9} = \frac{1}{3}$$
3) $$5\frac{3}{5} + 2 = 5 + \frac{3}{5} + 2 = 7 + \frac{3}{5} = 7\frac{3}{5}$$
4) $$8 - 3\frac{5}{12} = 8 - (3 + \frac{5}{12}) = 8 - 3 - \frac{5}{12} = 5 - \frac{5}{12} = 4\frac{12}{12} - \frac{5}{12} = 4\frac{7}{12}$$
5) $$7\frac{4}{8} - 5\frac{1}{8} = (7-5) + (\frac{4}{8} - \frac{1}{8}) = 2 + \frac{3}{8} = 2\frac{3}{8}$$
6) $$3 : 5 = \frac{3}{5}$$
7) $$5 : 3 = \frac{5}{3} = 1\frac{2}{3}$$
8) $$\frac{9}{11} + \frac{7}{11} = \frac{9+7}{11} = \frac{16}{11} = 1\frac{5}{11}$$
9) $$6\frac{3}{10} - 1\frac{7}{10} = 6\frac{3}{10} - 1\frac{7}{10} = 5\frac{13}{10} - 1\frac{7}{10} = 4\frac{6}{10} = 4\frac{3}{5}$$