91Ó°ÊÓ

Simplify a Complex Rational Expression by Using the LCD.

In the following exercises, simplify.

$\frac{\frac{c}{d}+\frac{1}{d}}{\frac{1}{d}-\frac{d}{c}}$

Simplify a Complex Rational Expression by Using the LCD.

In the following exercises, simplify.

$\frac{\frac{1}{m}+\frac{m}{n}}{\frac{n}{m}-\frac{1}{n}}$

In the following exercises, simplify:

$\frac{{\displaystyle \frac{1}{p}}+{\displaystyle \frac{1}{q}}}{{\displaystyle \frac{1}{p^2}}-{\displaystyle \frac{1}{q^2}}}$.

In the following exercises, simplify:

$\frac{{\displaystyle \frac{2}{r}}+{\displaystyle \frac{2}{t}}}{{\displaystyle \frac{1}{r^2}}-{\displaystyle \frac{1}{t^2}}}$.

In the following exercises, simplify:

$\frac{{\displaystyle \frac{2}{x+5}}}{{\displaystyle \frac{3}{x-5}}+{\displaystyle \frac{1}{x^2-25}}}$.

In the following exercises, simplify.

$\frac{4d+8}{9d+18}$

In the following exercises, simplify:

$\frac{{\displaystyle \frac{5}{y-4}}}{{\displaystyle \frac{3}{y+4}}+{\displaystyle \frac{2}{y^2-16}}}$.

In the following exercises, simplify.

$\frac{{\displaystyle \frac{5}{z^2-64}}+{\displaystyle \frac{3}{z+8}}}{{\displaystyle \frac{1}{z+8}}+{\displaystyle \frac{2}{z-8}}}$

In the following exercises, simplify.

$\frac{{\displaystyle \frac{3}{s+6}}+{\displaystyle \frac{5}{s-6}}}{{\displaystyle \frac{1}{s^2-36}}+{\displaystyle \frac{4}{s+6}}}$

In the following exercises, simplify.

$\frac{{\displaystyle \frac{4}{a^2-2a-15}}}{{\displaystyle \frac{1}{a-5}}+{\displaystyle \frac{2}{a+3}}}$