Compare Fractions: Find the Symbol Between 1/3 and 6/9

To solve this problem, we need to compare the fractions $\frac{1}{3}$ and $\frac{6}{9}$.

We'll follow these steps:

• Step 1: Simplify the fraction $\frac{6}{9}$.
• Step 2: Compare it to $\frac{1}{3}$.

Step 1:
The fraction $\frac{6}{9}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
Thus, $\frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}$.

Step 2:
Now, we compare $\frac{1}{3}$ with the simplified form $\frac{2}{3}$.
Since $\frac{1}{3}$ has a smaller numerator than $\frac{2}{3}$ while both have the same denominator, it is evident that $\frac{1}{3}$ is less than $\frac{2}{3}$.

Therefore, the correct sign to place between $\frac{1}{3}$ and $\frac{6}{9}$ is $<$.

Final Solution: The correct answer is $\frac{1}{3} < \frac{6}{9}$.