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

Question

π/9 blank 1/3

Answer 1

To compare \(\frac{\pi}{9}\) and \(\frac{1}{3}\), we need to find a common denominator or convert them to decimal form.

First, let's calculate the decimal approximation of \(\frac{\pi}{9}\): \[ \pi \approx 3.14 \quad \Rightarrow \quad \frac{\pi}{9} \approx \frac{3.14}{9} \approx 0.349 \]

Now, convert \(\frac{1}{3}\) to decimal: \[ \frac{1}{3} \approx 0.333 \]

Now, we can compare the two values: \[ \frac{\pi}{9} \approx 0.349 \quad \text{and} \quad \frac{1}{3} \approx 0.333 \]

Since \(0.349 > 0.333\), we can conclude that: \[ \frac{\pi}{9} > \frac{1}{3} \]

So the correct symbol to complete the statement is: \[ \frac{\pi}{9} > \frac{1}{3} \]