Ответ:

\(4\frac{7}{8}:\left(2\frac{3}{4}+1\frac{10}{19}\right)=\frac{39}{8}:\left(\frac{11}{4}+\frac{29}{19}\right)=\frac{39}{8}:\frac{325}{76}\).

\(\frac{39}{8}\cdot\frac{76}{325}=\frac{741}{650}\).

Ответ: \(\frac{741}{650}\).