Question

simplify. $\frac{\frac{x - 5}{x}}{\frac{5}{3x}}$

Explanation:

Step1: Recall division of fractions rule

Dividing by a fraction is multiplying by its reciprocal. So $\frac{\frac{x - 5}{x}}{\frac{5}{3x}}=\frac{x - 5}{x}\times\frac{3x}{5}$.

Step2: Simplify the expression

Cancel out the common factor $x$ in the numerator and denominator. We get $\frac{(x - 5)\times3}{5}=\frac{3x-15}{5}$.

Answer:

$\frac{3x - 15}{5}$