Chapter R - Section R.2 - Operations on Real Numbers - R.2 Exercises - Page 21: 105

$-\frac{1}{3}$

$\frac{\frac{2}{3}}{-2}=\frac{2}{3}\times-\frac{1}{2}=\frac{2\times-1}{3\times2}=\frac{-2}{6}=-\frac{2}{6}$ $-\frac{2}{6}=-\frac{2\div2}{6\div2}=-\frac{1}{3}$ The numbers being multiplied together have different signs, so the resulting product is negative.