To estimate \( 3 \times \pi \), we can use an approximate value for \( \pi \), which is about 3.14.
Calculating: \[ 3 \times \pi \approx 3 \times 3.14 = 9.42 \]
Now, let's examine the given options to find the closest one to 9.42.
- 6 4/7 = 6.57
- 6 3/7 = 6.43
- 9 1/7 = 9.14
- 9 3/7 = 9.43
The value \( 9 3/7 \) is approximately 9.43, which is very close to our estimate of 9.42.
Therefore, the best estimate for \( 3 \times \pi \) is:
9 3/7.