Question

simplify.
\frac{\frac{x - 5}{x + 4}}{\frac{5x}{x + 4}}

Explanation:

Step1: Recall division of fractions rule

When dividing by a fraction, we multiply by its reciprocal. So $\frac{\frac{x - 5}{x+4}}{\frac{5x}{x + 4}}=\frac{x - 5}{x+4}\times\frac{x + 4}{5x}$.

Step2: Cancel out common factors

The $(x + 4)$ terms in the numerator and denominator cancel out. We get $\frac{x - 5}{5x}$.

Answer:

$\frac{x - 5}{5x}$