Chapter R - Algebra Reference - R.3 Rational Expressions - R.3 Exercises - Page R-10: 16

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$\displaystyle \frac{a-3}{16}\div\frac{a-3}{32}=\qquad$... apply property:$ \displaystyle \frac{P}{Q}\div\frac{R}{S}=\frac{P}{Q}\cdot\frac{S}{R} $ =$\displaystyle \frac{a-3}{16}\cdot\frac{32}{a-3}= \qquad$... apply property: $\displaystyle \frac{P}{Q}\cdot\frac{R}{S}=\frac{PR}{QS}$ $=\displaystyle \frac{(a-3)\cdot 16\cdot 2}{16(a-3)}\qquad$... reduce: 16, $(a-3)$ $=\displaystyle \frac{2}{1}$ $=2$