## Algebra and Trigonometry 10th Edition

$\frac{6x+y}{6x-y}=\frac{x+\frac{y}{6}}{x-\frac{y}{6}}$
Both numerator and denominator have 2 terms. If you decide to divide the numerator and the denominator by 6, both terms, in the numerator and the denominator, must be divided by 6. $\frac{6x+y}{6x-y}=\frac{\frac{6x}{6}+\frac{y}{6}}{\frac{6x}{6}-\frac{y}{6}}=\frac{x+\frac{y}{6}}{x-\frac{y}{6}}$ Or, you can factor before dividing. $\frac{6x+y}{6x-y}=\frac{6(x+\frac{y}{6})}{6(x-\frac{y}{6})}=\frac{x+\frac{y}{6}}{x-\frac{y}{6}}$