To find the product of the two mixed numbers, 4 2/3 and 11 1/4, we first need to convert them into improper fractions.
1. Convert 4 2/3 to an improper fraction:
4 2/3 = (4 * 3 + 2) / 3 = (12 + 2) / 3 = 14/3
2. Convert 11 1/4 to an improper fraction:
11 1/4 = (11 * 4 + 1) / 4 = (44 + 1) / 4 = 45/4
3. Now, multiply the two improper fractions:
(14/3) * (45/4) = (14 * 45) / (3 * 4) = 630 / 12
4. Simplify the fraction:
630 / 12 = 52.5
Thus, the product of 4 2/3 and 11 1/4 is 52.5.