4. Выполните действия: \((14-2\frac{11}{12}:\frac{7}{18}):4\frac{7}{8}\).

Выполним действия.

1. \(14-2\frac{11}{12}:\frac{7}{18}\)
2. \(2\frac{11}{12} = \frac{2 \cdot 12 + 11}{12} = \frac{24+11}{12} = \frac{35}{12}\)
3. \(\frac{35}{12}:\frac{7}{18} = \frac{35}{12} \cdot \frac{18}{7} = \frac{35 \cdot 18}{12 \cdot 7} = \frac{5 \cdot 3}{2 \cdot 1} = \frac{15}{2} = 7\frac{1}{2}\)
4. \(14-7\frac{1}{2} = 13\frac{2}{2} - 7\frac{1}{2} = (13-7) + (\frac{2}{2} - \frac{1}{2}) = 6 + \frac{1}{2} = 6\frac{1}{2}\)
5. \(6\frac{1}{2}:4\frac{7}{8}\)
6. \(6\frac{1}{2} = \frac{6 \cdot 2 + 1}{2} = \frac{12+1}{2} = \frac{13}{2}\)
7. \(4\frac{7}{8} = \frac{4 \cdot 8 + 7}{8} = \frac{32+7}{8} = \frac{39}{8}\)
8. \(\frac{13}{2}:\frac{39}{8} = \frac{13}{2} \cdot \frac{8}{39} = \frac{13 \cdot 8}{2 \cdot 39} = \frac{1 \cdot 4}{1 \cdot 3} = \frac{4}{3} = 1\frac{1}{3}\)

Ответ: \(1\frac{1}{3}\)