Question

what is the sum?
\\(\frac{x}{x+3} + \frac{3}{x+3} + \frac{2}{x+3}\\)
\\(\frac{5}{3}\\)
\\(\frac{x + 5}{x + 3}\\)
\\(\frac{x + 5}{3x + 27}\\)
\\(\frac{6x}{x + 3}\\)

Explanation:

Step1: Add numerators (common denominator)

Since all fractions have the same denominator \(x + 3\), we add the numerators: \(x + 3 + 2\).

Step2: Simplify numerator

Simplify \(x + 3 + 2\) to \(x + 5\). The denominator remains \(x + 3\), so the sum is \(\frac{x + 5}{x + 3}\).

Answer:

\(\frac{x + 5}{x + 3}\) (corresponding to the option with this expression)