## Precalculus: Mathematics for Calculus, 7th Edition

$\frac{c}{c-2}$
Looking at the denominator of the fraction: Find the LCD (i.e. $c-1$) and adjust the $1$ accordingly. This then becomes: $\frac{c-2}{c-1}$ Looking at the numerator of the fraction: Find the LCD (i.e. $c-1$) and adjust the $1$ accordingly. This then becomes: $\frac{c}{c-1}$ So the fraction is now: $=\frac{\frac{c}{c-1}}{\frac{c-2}{c-1}}$ Flip the denominator and multiply: $=\frac{c}{c-1}\times\frac{c-1}{c-2}$ Cancel out any common factors: $=\frac{c}{1}\times\frac{1}{c-2}$ Multiply the two fractions: $=\frac{c}{c-2}$