What is the product of 3 3/8 and 2 2/3?

To find the product of 3 3/8 and 2 2/3, we first need to convert these mixed numbers into improper fractions.

For 3 3/8:

• Multiply the whole number (3) by the denominator (8): 3 × 8 = 24.

• Add the numerator (3): 24 + 3 = 27.

• The improper fraction is 27/8.

For 2 2/3:

• Multiply the whole number (2) by the denominator (3): 2 × 3 = 6.

• Add the numerator (2): 6 + 2 = 8.

• The improper fraction is 8/3.

Now, we multiply the two improper fractions together:

(27/8) × (8/3).

In multiplication of fractions, we multiply the numerators and the denominators:

Numerators: 27 × 8 = 216.

Denominators: 8 × 3 = 24.

So, we have:

216/24.

To simplify this fraction, we can divide the numerator and the denominator by their greatest common divisor (which is 24):

216 ÷ 24 = 9.

24