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

• A. $\frac{xy}{6}$
• B. $\frac{x}{3y}$
• C. $\frac{2}{3}$
• D. $\(\frac{2x}{3y}\)$

Answer: (D)

Verified step by step guidance

1. Identify the two fractions to multiply: \(\frac{x}{3}\) and \(\frac{2}{y}\).
2. Multiply the numerators together: \(x \times 2 = 2x\).
3. Multiply the denominators together: \(3 \times y = 3y\).
4. Write the product as a single fraction: \(\frac{2x}{3y}\).
5. Check if the fraction can be simplified further by looking for common factors in numerator and denominator.