Chapter R - Section R.2 - Operations on Real Numbers - R.2 Exercises - Page 21: 106

$-\frac{1}{8}$

$\frac{\frac{3}{4}}{-6}=\frac{3}{4}\times-\frac{1}{6}=\frac{3\times-1}{4\times6}=\frac{-3}{24}=-\frac{3}{24}$ $-\frac{3}{24}=-\frac{3\div3}{24\div3}=-\frac{1}{8}$ The numbers being multiplied together have different signs, so the resulting product is negative.