1. Simplify each fraction: a) $\frac{x}{x} = 1$ (assuming $x \neq 0$) b) $\frac{2x}{x} = 2$ (assuming $x \neq 0$) c) $\frac{x}{2x} = \frac{\cancel{x}}{2\cancel{x}} = \frac{1}{2}$ (assuming $x \neq 0$) d) $\frac{a}{a^2} = \frac{\cancel{a}}{a\cancel{a}} = \frac{1}{a}$ (assuming $a \neq 0$) e) $\frac{3x^2}{9xy} = \frac{3\cancel{x}x}{9\cancel{x}y} = \frac{3x}{9y} = \frac{\cancel{3}x}{3\cancel{3}y} = \frac{x}{3y}$ (assuming $x,y \neq 0$) f) $\frac{12ab}{4a^2b} = \frac{\cancel{12}ab}{\cancel{4}a^2b} = \frac{3ab}{a^2b} = \frac{3\cancel{a}b}{a\cancel{a}b} = \frac{3}{a}$ (assuming $a,b \neq 0$) Slug: "simplify fractions" Subject: "algebra" Desmos: {"latex":"y=0","features":{"intercepts":true,"extrema":true}} q_count: 1