Solve: 2/3 × 7 2/3 × 3 1/2 Mixed Number Multiplication

Because mixed numbers are single values, not separate parts! $7\frac{2}{3}$ means seven and two-thirds, which is actually $\frac{23}{3}$. Splitting them up changes the value completely.

Use this formula: (whole × denominator) + numerator over the original denominator. For $7\frac{2}{3}$: (7×3)+2 = 23, so it becomes $\frac{23}{3}$.

Yes! Always check if your final fraction can be simplified. In this problem, $\frac{322}{18}$ divides by 2 to give $\frac{161}{9}$, which converts to $17\frac{8}{9}$.

Absolutely! Look for common factors between numerators and denominators. In $\frac{2×23×7}{3×3×2}$, you can cancel the 2's to get $\frac{23×7}{3×3}$, making calculations easier.

If the answer choices are mixed numbers, yes - convert back! Divide the numerator by denominator: 161 ÷ 9 = 17 remainder 8, so $\frac{161}{9} = 17\frac{8}{9}$.