Multiply. Write your answer as a mixed number in simplest form. \[ 6 \times 2 \frac{4}{9} \]

Step 1 ：Convert the mixed number to an improper fraction: \(2 \frac{4}{9} = \frac{22}{9}\)

Step 2 ：Multiply the two fractions together: \(6 \times \frac{22}{9} = \frac{132}{9}\)

Step 3 ：Convert the result back to a mixed number: \(\frac{132}{9} = 14 \frac{2}{3}\)

Step 4 ：Simplify the mixed number to get the final answer: \(14 \frac{2}{3}\)

Step 5 ：\(\boxed{14 \frac{2}{3}}\) is the final answer.