Dividing Rational Expressions

Divide the expression  $\frac{x+8}{6\left(x+10\right)}\div\frac{\left(x+8\right)\left(x-8\right)}{\left(x+10\right)\left(x-8\right)}$  

•  $\frac{1}{6}$  

•  $\frac{\left(x+10\right)}{6x+60}$  

•  $\frac{x+8}{6x+60}$  

•  $\frac{\left(x+10\right)\left(x+8\right)}{6x+60}$  

Answer explanation

Remember, you need to FLIP the second fraction first, then cancel like factors!

 $\frac{10x}{x-8}\cdot\frac{6x\left(x-8\right)}{6x}$  

•  $\frac{5x}{3}$   

•  $\frac{10x}{x-8}$  

• 10x

•  $\frac{6x\left(x-8\right)}{6x}$  

Answer explanation

This one is MULTIPLYING so you do NOT need to flip any fractions! Just factor (if needed) and cancel like factors.

Divide the Rational Expression

 $\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$  

•  $\frac{9}{k-4}$  
  

•  $\frac{k+7}{8}$  
  

•  $6$  
  

•  $k-3$  
  

Divide the Rational Expression

• A

• B

• C

• D

Multiply the expression

 $\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{\left(r+2\right)}$  

•  $\frac{7\left(r-2\right)}{r+2}$  

•  $\frac{r-8}{r+2}$  

•  $\frac{r+2}{7}$  

•  $\frac{r-8}{7}$