Complete the statement by choosing the symbol that correctly compares the numbers.

Question

π/9 1/3

Answer 1

To compare \(\frac{\pi}{9}\) and \(\frac{1}{3}\), we can convert \(\frac{1}{3}\) to a fraction with a common denominator.

First, we can express \(\frac{1}{3}\) with a denominator of 9:

\[ \frac{1}{3} = \frac{3}{9} \]

Now we can compare \(\frac{\pi}{9}\) and \(\frac{3}{9}\):

If we compare \(\pi\) to 3 (since both fractions have the same denominator), we see that \(\pi \approx 3.14\).

Since \(3.14 > 3\), it follows that:

\[ \frac{\pi}{9} > \frac{1}{3} \]

Thus, the correct comparison symbol is:

\[ \frac{\pi}{9} > \frac{1}{3} \]