To multiply \(6\) by \(\frac{2}{9}\), we can express \(6\) as a fraction: \(\frac{6}{1}\).
Now, we can multiply the numerators and the denominators:
\[ \frac{6}{1} \times \frac{2}{9} = \frac{6 \times 2}{1 \times 9} = \frac{12}{9} \]
After multiplying, the numerator is 12.
After multiplying, the denominator is 9.