To estimate \(3\) times \(\pi\), we can use the approximation \(\pi \approx 3.14\).
Calculating \(3 \times \pi\):
\[ 3 \times 3.14 = 9.42 \]
Now we will convert the possible answers to mixed numbers:
- \(6 \frac{3}{7} \approx 6.43\)
- \(9 \frac{1}{7} \approx 9.14\)
- \(9 \frac{3}{7} \approx 9.43\)
- \(6 \frac{4}{7} \approx 6.57\)
The value \(9.42\) is closest to \(9 \frac{3}{7} \approx 9.43\).
Therefore, the best estimate for \(3 \times \pi\) is:
9 3/7.