196. Выполните действия: 1) 6 + \frac{5}{13}; 4) 11\frac{8}{11} - 3\frac{5}{11}; 2) \frac{6}{57} + 4; 5) 8\frac{7}{18} + 7\frac{5}{18} - 4\frac{11}{18}; 3) 6\frac{4}{9} + 5\frac{2}{9}; 6) 13\frac{6}{10} - 5\frac{3}{10} + 16\frac{1}{10}.

1) $$6 + \frac{5}{13} = 6\frac{5}{13}$$

2) $$\frac{6}{57} + 4 = 4\frac{6}{57}$$

3) $$6\frac{4}{9} + 5\frac{2}{9} = (6 + 5) + (\frac{4}{9} + \frac{2}{9}) = 11 + \frac{6}{9} = 11\frac{6}{9}$$

4) $$11\frac{8}{11} - 3\frac{5}{11} = (11 - 3) + (\frac{8}{11} - \frac{5}{11}) = 8 + \frac{3}{11} = 8\frac{3}{11}$$

5) $$8\frac{7}{18} + 7\frac{5}{18} - 4\frac{11}{18} = (8 + 7 - 4) + (\frac{7}{18} + \frac{5}{18} - \frac{11}{18}) = 11 + \frac{1}{18} = 11\frac{1}{18}$$

6) $$13\frac{6}{10} - 5\frac{3}{10} + 16\frac{1}{10} = (13 - 5 + 16) + (\frac{6}{10} - \frac{3}{10} + \frac{1}{10}) = 24 + \frac{4}{10} = 24\frac{4}{10}$$

Ответ: 1) $$6\frac{5}{13}$$; 2) $$4\frac{6}{57}$$; 3) $$11\frac{6}{9}$$; 4) $$8\frac{3}{11}$$; 5) $$11\frac{1}{18}$$; 6) $$24\frac{4}{10}$$