What is the product of 7 1/3 and 2 2/11?

To find the product of the mixed numbers 7 1/3 and 2 2/11, it is helpful first to convert them into improper fractions.

For 7 1/3:

1. Multiply the whole number (7) by the denominator (3): 7 × 3 = 21.

2. Add the numerator (1) to that result: 21 + 1 = 22.

3. Thus, 7 1/3 can be converted to the improper fraction 22/3.

For 2 2/11:

1. Multiply the whole number (2) by the denominator (11): 2 × 11 = 22.

2. Add the numerator (2) to that result: 22 + 2 = 24.

3. Therefore, 2 2/11 can be converted to the improper fraction 24/11.

Next, multiply the two improper fractions:

(22/3) × (24/11) = (22 × 24) / (3 × 11).

Now calculate the multiplication in the numerator and denominator:

1. In the numerator: 22 × 24 = 528.

2. In the denominator: 3 ×