Answer
8
Work Step by Step
$\frac{\frac{1}{2} + \frac{1}{6}}{\frac{3}{4} - \frac{2}{3}} = \frac{\frac{3}{6} + \frac{1}{6}}{\frac{9}{12} - \frac{8}{12}} = \frac{\frac{4}{6}}{\frac{1}{12}} = \frac{4}{6} \div \frac{1}{12} = \frac{4}{6} \times \frac{12}{1} = \frac{48}{6} = \frac{8}{1} = 8$
