Ответ:

  1. \(14\frac{1}{4}+7\frac{5}{6}=21+\frac{3}{12}+\frac{10}{12}=21\frac{13}{12}=\mathbf{22\frac{1}{12}}\).
  2. \(4\frac{11}{18}+8\frac{7}{12}=12+\frac{22}{36}+\frac{21}{36}=12\frac{43}{36}=\mathbf{13\frac{7}{36}}\).
  3. \(7\frac{5}{24}+2\frac{3}{16}=9+\frac{10}{48}+\frac{9}{48}=\mathbf{9\frac{19}{48}}\).
  4. \(7\frac{5}{16}+4\frac{1}{6}+3\frac{3}{8}=14+\frac{15}{48}+\frac{8}{48}+\frac{18}{48}=\mathbf{14\frac{41}{48}}\).

Ответ: 1) \(22\frac{1}{12}\); 2) \(13\frac{7}{36}\); 3) \(9\frac{19}{48}\); 4) \(14\frac{41}{48}\).