7. \(\left(1\frac{11}{16}-3\frac{7}{8}\right)\cdot4\)

Преобразуем смешанные числа: \(1\frac{11}{16}=\frac{27}{16}\), \(3\frac{7}{8}=\frac{31}{8}=\frac{62}{16}\).

\(\left(\frac{27}{16}-\frac{62}{16}\right)\cdot4=-\frac{35}{16}\cdot4=-\frac{35}{4}=-8\frac{3}{4}\).

Ответ: \(-\frac{35}{4}\)