Answer:
To solve 12 \times 2 \frac{2}{3}, we can convert the mixed number to an improper fraction and then perform the multiplication:
First, convert 2 \frac{2}{3} to an improper fraction:
2 \frac{2}{3} = \frac{(3 \times 2) + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}
Now, we have:
12 \times 2 \frac{2}{3} = 12 \times \frac{8}{3}
Multiplying the whole number by the numerator and then adding the result to the product of the whole number and the denominator:
12 \times \frac{8}{3} = 12 \times \frac{8}{3} = \frac{12 \times 8}{3} = \frac{96}{3} = 32
Therefore, 12 \times 2 \frac{2}{3} = 32.
