Which of the following is equivalent to \( 3 \frac{2}{3} ? \) A. \( \frac{8}{3} \) B. \( \frac{18}{3} \) C. \( \frac{11}{3} \) D. \( \frac{9}{2} \)

To determine which fraction is equivalent to \( 3 \frac{2}{3} \), let's convert the mixed number to an improper fraction. **Step 1: Convert the Mixed Number to an Improper Fraction** \[ 3 \frac{2}{3} = \left(3 \times 3\right) + 2 = 9 + 2 = 11 \] So, the improper fraction is: \[ \frac{11}{3} \] **Step 2: Compare with the Given Options** - **A. \( \frac{8}{3} \)** – Not equal to \( \frac{11}{3} \) - **B. \( \frac{18}{3} = 6 \)** – Not equal to \( \frac{11}{3} \) - **C. \( \frac{11}{3} \)** – **This is equal to \( 3 \frac{2}{3} \)** - **D. \( \frac{9}{2} \)** – Not equal to \( \frac{11}{3} \) **Answer:** C. \( \frac{11}{3} \)