To convert the mixed number \( 6 \frac{2}{3} \) into an improper fraction, we can follow the formula you mentioned: \( \text{(whole number part)} \times \text{(denominator)} + \text{(numerator)} \).
In this case:
- The whole number part is 6.
- The numerator is 2.
- The denominator is 3.
Using the formula:
\[ 3 \times 6 + 2 = 18 + 2 = 20 \]
This means \( 6 \frac{2}{3} \) can be expressed as:
\[ \frac{20}{3} \]
So, \( 6 \frac{2}{3} = \frac{20}{3} \).