Multiply the expressions and simplify.
$\frac{x}{x+2}\cdot \frac{x+2}{3}$

• A. $\frac{1}{3}$
• B. $\frac{x}{x+2}$
• C. $\frac{x}{3}$
• D. $\(\frac{3}{x+2}\)$

Answer: (C)

Verified step by step guidance

1. Identify the two fractions to be multiplied: \(\frac{x}{x+2}\) and \(\frac{x+2}{3}\).
2. Multiply the numerators together and the denominators together: \(\frac{x \cdot (x+2)}{(x+2) \cdot 3}\).
3. Notice that the factor \((x+2)\) appears in both the numerator and denominator, so you can simplify by canceling out \((x+2)\).
4. After canceling, you are left with \(\frac{x}{3}\).
5. Write the simplified expression as the final answer: \(\frac{x}{3}\).