A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall how tall is his son.

To find out how tall the son is, we need to multiply the height of the basketball player by the fraction representing the son's height.

First, we need to convert the basketball player's height to a fraction. Since there are 12 inches in a foot, we can convert 6 2/3 to a fraction by multiplying the whole number (6) by the denominator (3) and then adding the numerator (2), which gives us 20/3.

Next, we can multiply the player's height by the son's height fraction. So, 20/3 * 1/4 = 20/12 = 5/3.

Therefore, the son is 5/3 feet tall.

To find out how tall the basketball player's son is, we can start by multiplying the height of the basketball player by 1/4.

1. Convert the height of the basketball player to an improper fraction: 6 2/3 = (6 * 3 + 2) / 3 = 20/3 feet.

2. Multiply the height of the basketball player by 1/4: (20/3) * (1/4).

To multiply fractions, multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together:

20 * 1 / 3 * 4 = 20/12.

3. Simplify the fraction 20/12, if possible.

The greatest common divisor (GCD) of 20 and 12 is 4, so divide both the numerator and denominator by 4:

20/12 = (20/4) / (12/4) = 5/3.

Therefore, the son of the basketball player is 5/3 feet tall.