14) 4 1/6 · (1 1/2 − 3/5) + (3/4 + 5/6) · 6

\(1\frac{1}{2}-\frac{3}{5}=\frac{9}{10}\), поэтому \(4\frac{1}{6}\cdot\frac{9}{10}=\frac{25}{6}\cdot\frac{9}{10}=\frac{15}{4}\).

\(\left(\frac{3}{4}+\frac{5}{6}\right)\cdot6=\frac{19}{12}\cdot6=\frac{19}{2}\).

\(\frac{15}{4}+\frac{19}{2}=\frac{53}{4}\).

Ответ: \(\frac{53}{4}\).