Which is the best estimate for 3 times pi?(1 point)

Question

Responses

9 1/7
9 and 1 seventh

9 3/7
9 and 3 sevenths

6 4/7
6 and 4 sevenths

6 3/7

Answer 1

To estimate \(3 \times \pi\), we can use the approximation \(\pi \approx 3.14\).

Calculating:

\[ 3 \times 3.14 = 9.42 \]

Now, we can convert 9.42 into a mixed number. Since \(9.42\) is between 9 and 10, we consider it as \(9\) and \(0.42\). To convert \(0.42\) into a fraction, we can estimate it as:

\[ 0.42 \approx \frac{3}{7} \quad \text{(since } \frac{3}{7} \approx 0.428\text{)} \]

Thus, \(9.42\) can be approximated as:

\[ 9 \frac{3}{7} \]

Therefore, the best estimate for \(3 \times \pi\) is:

9 and 3 sevenths.