Ответ:

  1. \(6+\frac{5}{13}=6\frac{5}{13}\).
  2. \(\frac{6}{57}+4=\frac{2}{19}+4=4\frac{2}{19}\).
  3. \(6\frac{4}{9}+5\frac{2}{9}=11\frac{6}{9}=11\frac{2}{3}\).
  4. \(11\frac{8}{11}-3\frac{5}{11}=8\frac{3}{11}\).
  5. \(8\frac{7}{18}+7\frac{5}{18}-4\frac{11}{18}=15\frac{12}{18}-4\frac{11}{18}=15\frac{2}{3}-4\frac{11}{18}=10\frac{1}{18}\).
  6. \(13\frac{6}{10}-5\frac{3}{10}+16=8\frac{3}{10}+16=24\frac{3}{10}\).

Ответ: 1) \(6\frac{5}{13}\); 2) \(4\frac{2}{19}\); 3) \(11\frac{2}{3}\); 4) \(8\frac{3}{11}\); 5) \(10\frac{1}{18}\); 6) \(24\frac{3}{10}\).