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 $\frac{\pi }{9}$: $$\pi \approx 3.14\Rightarrow \frac{\pi }{9}\approx \frac{3.14}{9}\approx 0.349$$

Now, convert $\frac{1}{3}$ to decimal: $$\frac{1}{3}\approx 0.333$$

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

Since $0.349>0.333$, we can conclude that: $$\frac{\pi }{9}>\frac{1}{3}$$

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