\(\left(\frac{3}{8}+-\frac{3}{4}+\frac{7}{12}\right)\div\frac{5}{6}+\frac{1}{2}=\frac{5}{24}\div\frac{5}{6}+\frac{1}{2}=\frac{1}{4}+\frac{1}{2}=\frac{3}{4}\)
\(\left(\frac{3}{8}-\frac{3}{4}+\frac{7}{12}\right):\frac{5}{6}+\frac{1}{2}\) \(=\left(\frac{9}{24}-\frac{18}{24}+\frac{14}{24}\right):\frac{5}{6}+\frac{1}{2}\)
\(=\frac{5}{24}:\frac{5}{6}+\frac{1}{2}=\frac{5}{24}.\frac{6}{5}+\frac{1}{2}\)\(=\frac{1}{6}+\frac{1}{2}\) \(=\frac{2}{3}\)