6. Найдите сумму: а) 38 1/8 + 4 5/24; б) 4 19/75 + 6 17/45; в) 47 3/14 + 1 8/21; г) 54 3/4 + 18 5/6.

а) \(38\frac{1}{8}+4\frac{5}{24}=42+\left(\frac{3}{24}+\frac{5}{24}\right)=42\frac{8}{24}=42\frac{1}{3}\).

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

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

г) \(54\frac{3}{4}+18\frac{5}{6}=72+\left(\frac{9}{12}+\frac{10}{12}\right)=72+1\frac{7}{12}=73\frac{7}{12}\).

Ответ: а) \(42\frac{1}{3}\); б) \(10\frac{142}{225}\); в) \(48\frac{25}{42}\); г) \(73\frac{7}{12}\).