Answer
$\frac{3}{8}$.
Work Step by Step
The given expression is
$=\frac{\frac{3}{x}-3}{\frac{8}{x}-8}$
Divide and multiply the fraction by $x$.
$=\frac{x}{x}\cdot \frac{\frac{3}{x}-3}{\frac{8}{x}-8}$
Use the distributive property.
$= \frac{x\cdot\frac{3}{x}-x\cdot3}{x\cdot\frac{8}{x}-x\cdot8}$
Simplify.
$= \frac{3-3x}{8-8x}$
Factor the fraction as shown below.
$= \frac{3(1-x)}{8(1-x)}$
Cancel common terms.
$= \frac{3}{8}$.
