Question

A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point) Responses 1 1/2 ft. 1 Start Fraction 1 over 2 End Fraction ft. 2 2/12 ft. 2 Start Fraction 2 over 1/2 End Fraction ft. 1 2/3 ft. 1 Start Fraction 2 over 3 End Fraction ft. 2 2/3 ft.

Answer 1

To find the height of the son's height, we need to calculate 1/4 of the father's height, which is 6 2/3 feet.

First, let's convert 6 2/3 into an improper fraction:

\[
6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3}
\]

Now, we will calculate 1/4 of the father's height:

\[
\text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3}
\]

Now, we can convert \(\frac{5}{3}\) into a mixed number:

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

Thus, the height of the son is:

**1 2/3 feet**

So the correct response is **1 2/3 ft.**