What is the product of 4/5 and 10/3?

To find the product of 4/5 and 10/3, you multiply the numerators together and the denominators together.

First, multiply the numerators:

4 * 10 = 40.

Next, multiply the denominators:

5 * 3 = 15.

This gives you the fraction 40/15. To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 5.

Dividing both by 5 results in:

40 ÷ 5 = 8,

15 ÷ 5 = 3.

Thus, the simplified result is 8/3.

This is why the first choice is the correct answer. It represents the accurate calculation and simplification of the product of the two fractions.