. A basketball player is 6 2/3

Question

feet tall. His infant son is 1/4
as tall. How tall is his son?(1 point)
Responses

2 2/3
ft
2 and 2 thirds ft

1 2/3
ft
1 and 2 thirds ft

1 1/2
ft
1 and 1 half ft

2 1/6
ft

Answer 1

To find the height of the infant son, we need to calculate \( \frac{1}{4} \) of the father's height, which is \( 6 \frac{2}{3} \) feet.

First, convert \( 6 \frac{2}{3} \) to an improper fraction:

\[ 6 \frac{2}{3} = \frac{20}{3} \text{ feet} \]

Now, calculate \( \frac{1}{4} \) of \( \frac{20}{3} \):

\[ \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \text{ feet} \]

Now, convert \( \frac{5}{3} \) back to a mixed number:

\[ \frac{5}{3} = 1 \frac{2}{3} \text{ feet} \]

Therefore, the height of the son is:

1 2/3 ft (1 and 2 thirds ft).