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

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) \(\frac{6}{57}+4\) = \(4\frac{6}{57}\) 3) \(6\frac{4}{9}+5\frac{2}{9}\) = \((6+5)+\frac{4+2}{9}\) = \(11+\frac{6}{9}\) = \(11\frac{6}{9}\) = \(11\frac{2}{3}\) 4) \(11\frac{8}{11}-3\frac{5}{11}\) = \((11-3)+(\frac{8}{11}-\frac{5}{11})\) = \(8+\frac{3}{11}\) = \(8\frac{3}{11}\) Ответ: 1) \(6\frac{5}{13}\); 2) \(4\frac{6}{57}\); 3) \(11\frac{2}{3}\); 4) \(8\frac{3}{11}\)