To estimate \(3 \times \pi\), we can use the approximation that \(\pi \approx 3.14\).
Calculating \(3 \times \pi\):
\[ 3 \times 3.14 = 9.42 \]
Now, let's compare this to the fractions given in the options:
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A. \(9 \frac{1}{7}\)
- \(9 \frac{1}{7} = 9 + \frac{1}{7} \approx 9.14\)
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B. \(9 \frac{3}{7}\)
- \(9 \frac{3}{7} = 9 + \frac{3}{7} \approx 9.43\)
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C. \(6 \frac{3}{7}\)
- \(6 \frac{3}{7} = 6 + \frac{3}{7} \approx 6.43\)
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D. \(6 \frac{4}{7}\)
- \(6 \frac{4}{7} = 6 + \frac{4}{7} \approx 6.57\)
From our calculations, \(3 \times \pi \approx 9.42\).
Comparing this value against the options, the closest estimate to \(9.42\) is:
B. \(9 \frac{3}{7}\), which is approximately \(9.43\).
Thus, the best estimate for \(3 \times \pi\) is B. \(9 \frac{3}{7}\).