Question

a basketball player is 6 2/3 feet tall. his infant son is 1/4 as tall. how tall is his son make the question a fractiom

Answer 1

To find out how tall the basketball player's son is, we need to calculate \(\frac{1}{4}\) of the basketball player's height of \(6 \frac{2}{3}\) feet.

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

1. Convert the whole number (6) to a fraction:
\[
6 = \frac{6 \times 3}{3} = \frac{18}{3}
\]

2. Add the fractional part:
\[
6 \frac{2}{3} = \frac{18}{3} + \frac{2}{3} = \frac{20}{3}
\]

Now, we need to find \(\frac{1}{4}\) of \(\frac{20}{3}\):
\[
\text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12}
\]

Now simplify \(\frac{20}{12}\):
\[
\frac{20}{12} = \frac{5}{3} \quad \text{(by dividing both numerator and denominator by 4)}
\]

So, the height of the basketball player's son is \(\frac{5}{3}\) feet.

To express this as a mixed number, we can convert \(\frac{5}{3}\):
\[
\frac{5}{3} = 1 \frac{2}{3} \text{ feet}
\]

Therefore, the height of the son is \(\frac{5}{3}\) feet or \(1 \frac{2}{3}\) feet.