Solve: 4 × 3⅔ Mixed Number Multiplication Problem

Because a mixed number like $3\frac{2}{3}$ is one single number, not two separate parts! Think of it like 3.67 - you wouldn't multiply the 3 and .67 separately. Converting to an improper fraction keeps it as one unified value.

Use this formula: Multiply the whole number by the denominator, add the numerator, keep the same denominator. For $3\frac{2}{3}$: (3×3)+2 = 11, so it becomes $\frac{11}{3}$.

You can use the distributive property: $4 \times 3\frac{2}{3} = 4 \times 3 + 4 \times \frac{2}{3} = 12 + \frac{8}{3} = 12 + 2\frac{2}{3} = 14\frac{2}{3}$. Both methods work, but the improper fraction method is more reliable!

Divide the numerator by the denominator! For $\frac{44}{3}$: 44 ÷ 3 = 14 with remainder 2. The quotient (14) becomes the whole number, remainder (2) stays as numerator, denominator (3) stays the same: $14\frac{2}{3}$.

Break it down: Convert → Multiply → Convert back. Practice with easier numbers first, like $2 \times 1\frac{1}{2}$. Remember, math is about understanding patterns - once you see the pattern, it becomes much easier!