Выполни действия: 1) 6 + 5/13

1) $6 + \frac{5}{13} = \frac{6 \cdot 13}{13} + \frac{5}{13} = \frac{78}{13} + \frac{5}{13} = \frac{78 + 5}{13} = \frac{83}{13} = 6\frac{5}{13}$. 2) $6\frac{6}{57} + 4 = 6 + \frac{6}{57} + 4 = 10 + \frac{6}{57} = 10\frac{6}{57}$. 3) $6\frac{4}{9} + 5\frac{2}{9} = 6 + \frac{4}{9} + 5 + \frac{2}{9} = 6 + 5 + \frac{4}{9} + \frac{2}{9} = 11 + \frac{4 + 2}{9} = 11 + \frac{6}{9} = 11\frac{6}{9}$. 4) $11\frac{8}{11} - 3\frac{3}{11} = 11 + \frac{8}{11} - 3 - \frac{3}{11} = 11 - 3 + \frac{8}{11} - \frac{3}{11} = 8 + \frac{8 - 3}{11} = 8 + \frac{5}{11} = 8\frac{5}{11}$. 5) $8\frac{7}{18} + 7\frac{5}{18} - 4\frac{11}{18} = 8 + \frac{7}{18} + 7 + \frac{5}{18} - 4 - \frac{11}{18} = 8 + 7 - 4 + \frac{7}{18} + \frac{5}{18} - \frac{11}{18} = 11 + \frac{7 + 5 - 11}{18} = 11 + \frac{1}{18} = 11\frac{1}{18}$. 6) $13\frac{6}{10} - 5\frac{3}{10} + 16\frac{1}{10} = 13 + \frac{6}{10} - 5 - \frac{3}{10} + 16 + \frac{1}{10} = 13 - 5 + 16 + \frac{6}{10} - \frac{3}{10} + \frac{1}{10} = 24 + \frac{6 - 3 + 1}{10} = 24 + \frac{4}{10} = 24\frac{4}{10}$.