Convert the mixed number to an improper fraction, then multiply by 6.<br><br>
&bull; \(3\frac{3}{7} = \frac{24}{7}\)<br>
&bull; \(\frac{24}{7} \times 6 = \frac{24 \times 6}{7} = \frac{144}{7}\)<br>
&bull; \(\frac{144}{7} = 20\frac{4}{7}\) (since 144 ÷ 7 = 20 remainder 4)<br><br>
Final Answer: \(20\frac{4}{7}\)