Solve: 4 × 3⅔ Mixed Number Multiplication Problem

To solve the problem of multiplying the whole number 4 by the mixed number $3\frac{2}{3}$, follow these steps:

• Step 1: Convert the mixed number $3\frac{2}{3}$ into an improper fraction. The whole number part is 3, and the fractional part is $\frac{2}{3}$. Use the formula: $\text{Improper Fraction} = \frac{(3 \times 3) + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}.$
• Step 2: Multiply the improper fraction $\frac{11}{3}$ by the whole number 4: $4 \times \frac{11}{3} = \frac{4 \times 11}{3} = \frac{44}{3}.$
• Step 3: Convert the improper fraction $\frac{44}{3}$ back to a mixed number. Divide 44 by 3: - 44 divided by 3 is 14 with a remainder of 2. - Therefore, $\frac{44}{3} = 14\frac{2}{3}$.

Thus, the product of $4$ and $3\frac{2}{3}$ is $14\frac{2}{3}$.

The correct answer is $\boxed{14\frac{2}{3}}$.