Question

subtract.
\\(\frac{4x}{4x - 16} - \frac{x}{3x - 12}\\)
simplify your answer as much as possible.

Explanation:

Step1: Factor denominators

$\frac{4x}{4(x-4)} - \frac{x}{3(x-4)}$

Step2: Simplify first fraction

$\frac{x}{x-4} - \frac{x}{3(x-4)}$

Step3: Find common denominator

$\frac{3x}{3(x-4)} - \frac{x}{3(x-4)}$

Step4: Subtract numerators

$\frac{3x - x}{3(x-4)}$

Step5: Simplify numerator

$\frac{2x}{3(x-4)}$

Answer:

$\frac{2x}{3(x-4)}$