Ответ:

  1. \(38\frac{1}{8}+4\frac{5}{24}=42+\frac{3}{24}+\frac{5}{24}=42\frac{1}{3}\).
  2. \(4\frac{19}{75}+6\frac{17}{45}=10+\frac{57}{225}+\frac{85}{225}=10\frac{142}{225}\).
  3. \(17\frac{3}{14}+1\frac{8}{21}=18+\frac{9}{42}+\frac{16}{42}=18\frac{25}{42}\).
  4. \(54\frac{3}{4}+18\frac{5}{6}=72+\frac{9}{12}+\frac{10}{12}=73\frac{7}{12}\).
  5. \(28\frac{5}{9}+13\frac{3}{4}=41+\frac{20}{36}+\frac{27}{36}=42\frac{11}{36}\).
  6. \(\frac{4}{7}+2\frac{3}{5}=\frac{4}{7}+\frac{13}{5}=\frac{20}{35}+\frac{91}{35}=3\frac{6}{35}\).
  7. \(9+2\frac{2}{9}=11\frac{2}{9}\).
  8. \(3\frac{11}{24}+\frac{1}{6}=3\frac{11}{24}+\frac{4}{24}=3\frac{5}{8}\).

Ответ: а) 42 1/3; б) 10 142/225; в) 18 25/42; г) 73 7/12; д) 42 11/36; е) 3 6/35; ж) 11 2/9; з) 3 5/8.