Выполните действия: a) $$1\frac{2}{3} + 3\frac{1}{3} - 2\frac{1}{3}$$; б) $$2\frac{1}{6} + 3\frac{2}{3} + 4\frac{5}{6}$$; в) $$7\frac{5}{12} - 1\frac{5}{6} + 3\frac{1}{24}$$; г) $$9\frac{7}{18} - 6\frac{2}{36} + 11\frac{2}{9}$$

a) $$1\frac{2}{3} + 3\frac{1}{3} - 2\frac{1}{3} = (1+3-2) + (\frac{2}{3} + \frac{1}{3} - \frac{1}{3}) = 2 + \frac{2}{3} = 2\frac{2}{3}$$

Ответ: $$2\frac{2}{3}$$

б) $$2\frac{1}{6} + 3\frac{2}{3} + 4\frac{5}{6} = (2+3+4) + (\frac{1}{6} + \frac{2}{3} + \frac{5}{6}) = 9 + (\frac{1}{6} + \frac{4}{6} + \frac{5}{6}) = 9 + \frac{10}{6} = 9 + \frac{5}{3} = 9 + 1\frac{2}{3} = 10\frac{2}{3}$$

Ответ: $$10\frac{2}{3}$$

в) $$7\frac{5}{12} - 1\frac{5}{6} + 3\frac{1}{24} = (7-1+3) + (\frac{5}{12} - \frac{5}{6} + \frac{1}{24}) = 9 + (\frac{10}{24} - \frac{20}{24} + \frac{1}{24}) = 9 + \frac{-9}{24} = 9 - \frac{3}{8} = 8\frac{8}{8} - \frac{3}{8} = 8\frac{5}{8}$$

Ответ: $$8\frac{5}{8}$$

г) $$9\frac{7}{18} - 6\frac{2}{36} + 11\frac{2}{9} = (9-6+11) + (\frac{7}{18} - \frac{2}{36} + \frac{2}{9}) = 14 + (\frac{14}{36} - \frac{2}{36} + \frac{8}{36}) = 14 + \frac{20}{36} = 14 + \frac{5}{9} = 14\frac{5}{9}$$

Ответ: $$14\frac{5}{9}$$