Tính giá trị biểu thức: \(29\frac{1}{2} \times \frac{2}{3} + 39\frac{1}{3} \times \frac{3}{4} + \frac{5}{6}\).

\(29\frac{1}{2} \times \frac{2}{3} + 39\frac{1}{3} \times \frac{3}{4} + \frac{5}{6}\)\( = \frac{{59}}{2} \times \frac{2}{3} + \frac{{118}}{3} \times \frac{3}{4} + \frac{5}{6}\)

\( = \frac{{59}}{3} + \frac{{59}}{2} + \frac{5}{6}\)\( = \frac{{118}}{6} + \frac{{177}}{6} + \frac{5}{6} = \frac{{300}}{6} = 50\).