## Elementary Algebra

$= \frac{2x}{3}$
1. Simplify the fraction $\frac{12}{18}$ $= \frac{12}{18}$ $= \frac{2}{3}$ 2. Cancel out the $x$ by referring to both $x$'s in the numerator and denominator: $= \frac{x^{2}}{x}$ $= \frac{x}{1}$ 3. Cancel out the $y$ by referring to both $y$'s in the numerator and denominator $= \frac{y}{y}$ $= \frac{1}{1}$ $= 1$ 5. Combine steps 1-3 to simplify $= \frac{2(x)(1)}{3(1)(1)}$ $= \frac{2x}{3}$