Simplify.

$\frac{1+\frac{2}{x+4}}{1+\frac{9}{x-3}}$

Step 1: Find the LCM of the denominators of the fractions in the numerator and denominator.

Step 2: Multiply the numerator and denominator of the complex fraction by the LCM.

Step 3: Factor$\frac{x-3}{x+4}$

Step 4: Divide out common factors.

Step 1: Find the LCM of the denominators of the fractions in the numerator and denominator.

Step 2: Multiply the numerator and denominator of the complex fraction by the LCM.

Step 3: Factor

Step 4: Divide out common factors.