Ответ:

  1. \(6\frac5{23}+3\frac4{23}-5\frac{12}{23}=4+\frac{5+4-12}{23}=4-\frac3{23}=3\frac{20}{23}\);
  2. \(7\frac4{15}-4\frac2{15}+3\frac{15}{15}=7\frac4{15}-4\frac2{15}+4=7\frac{17}{15}=8\frac2{15}\);
  3. \(13\frac8{17}+2\frac5{17}-8\frac4{17}=7+\frac{8+5-4}{17}=7\frac9{17}\);
  4. \(11\frac9{18}-7\frac5{18}+1\frac{12}{18}=5+\frac{9-5+12}{18}=5\frac{16}{18}=5\frac89\);
  5. \(9\frac8{29}-4\frac7{29}+3\frac{15}{29}=8+\frac{8-7+15}{29}=8\frac{16}{29}\).

Ответ: 1) \(3\frac{20}{23}\); 2) \(8\frac2{15}\); 3) \(7\frac9{17}\); 4) \(5\frac89\); 5) \(8\frac{16}{29}\).