Ответ:

\(4\frac{7}{8}=\frac{39}{8}\), \(2\frac{3}{4}=\frac{11}{4}\).

\(\frac{39}{8}:\left(\frac{11}{4}+\frac{10}{19}\right)=\frac{39}{8}:\frac{249}{76}=\frac{39}{8}\cdot\frac{76}{249}=\frac{247}{166}=1\frac{81}{166}\).

Ответ: \(1\frac{81}{166}\).