Final answer:
To find the product of 5 1/3 and 2 2/3, convert them to improper fractions, multiply, and then simplify the result to get 14 2/9.
Step-by-step explanation:
The question asks for the product of two mixed numbers, specifically 5 1/3 times 2 2/3. To multiply these two numbers, first, we need to convert them into improper fractions.
For 5 1/3, we multiply the whole number 5 by the denominator 3 and add the numerator 1, getting 16/3.
Similarly, for 2 2/3, we multiply the whole number 2 by the denominator 3 and add the numerator 2, getting 8/3.
Now, we simply multiply these two improper fractions: (16/3) x (8/3).
Multiplying the numerators, we get 16 x 8 = 128.
Multiplying the denominators, we get 3 x 3 = 9. So, our product is 128/9, which can be simplified or left as an improper fraction, or converted back to a mixed number if desired. If we converted it, 128/9 is equivalent to 14 2/9.
Therefore, 5 1/3 times 2 2/3 equals 14 2/9.