Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 674: 34

$-\frac{1}{3}$

Given : $\frac{x-3}{6} \div \frac{3-x}{2}$ This becomes : $\frac{x-3}{6} \times \frac{2}{-(x-3)}$ $= \frac{x-3}{6} \times \frac{2}{-(x-3)}=-\frac{1}{3}$ (After dividing out the common factors $2$ $and$ $(x-3)$)