Answer
$-\frac{45}{4}$
Work Step by Step
$\frac{3}{4}-4(2+7)\div(-\frac{1}{2})(-\frac{1}{6})=\frac{3}{4}-\frac{4(9)}{-\frac{1}{2}}(-\frac{1}{6})=\frac{3}{4}-\frac{36}{-\frac{1}{2}}(-\frac{1}{6})=\frac{3}{4}-(-72)(-\frac{1}{6})=\frac{3}{4}-12=\frac{3}{4}-\frac{48}{4}=-\frac{45}{4}$