а) \(38\frac{3}{8}+\frac{5}{42}=38+\frac{63}{168}+\frac{20}{168}=38\frac{83}{168}\).

б) \(4\frac{19}{75}+6\frac{17}{45}=10+\frac{57}{225}+\frac{85}{225}=10\frac{142}{225}\).

в) \(47\frac{3}{14}+1\frac{8}{21}=48+\frac{9}{42}+\frac{16}{42}=48\frac{25}{42}\).

г) \(54\frac{3}{4}+18\frac{5}{6}=72+\frac{9}{12}+\frac{10}{12}=73\frac{7}{12}\).

д) \(28\frac{5}{9}+13\frac{3}{4}=41+\frac{20}{36}+\frac{27}{36}=42\frac{11}{36}\).

е) \(\frac{4}{7}+2\frac{3}{5}=2+\frac{20}{35}+\frac{21}{35}=2\frac{6}{7}\).

ж) \(9+2\frac{2}{9}=11\frac{2}{9}\).

з) \(3\frac{11}{24}+\frac{1}{6}=3\frac{11}{24}+\frac{4}{24}=3\frac{15}{24}=3\frac{5}{8}\).

Ответ: а) \(38\frac{83}{168}\); б) \(10\frac{142}{225}\); в) \(48\frac{25}{42}\); г) \(73\frac{7}{12}\); д) \(42\frac{11}{36}\); е) \(2\frac{6}{7}\); ж) \(11\frac{2}{9}\); з) \(3\frac{5}{8}\).

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