Answer
$-\frac{2}{5}$
Work Step by Step
$\frac{\frac{1}{3}-\frac{5}{6}}{\frac{3}{4}+\frac{1}{2}}$
$=(\frac{1}{3}-\frac{5}{6})\div(\frac{3}{4}+\frac{1}{2})$
$=(\frac{2}{6}-\frac{5}{6})\div(\frac{3}{4}+\frac{2}{4})$
$=(-\frac{3}{6})\div\frac{5}{4}$
$=(-\frac{1}{2})\div\frac{5}{4}$
$=-(\frac{1}{2}\div\frac{5}{4})$
$=-(\frac{1}{2}\times\frac{4}{5})$
$=-(\frac{1}{1}\times\frac{2}{5})$
$=-\frac{2}{5}$
