1. The problem is to compare the fractions $\frac{3}{6}$ and $\frac{2}{6}$. 2. Both fractions have the same denominator, which means they represent parts of the same whole divided into 6 equal parts. 3. When denominators are the same, the fraction with the larger numerator is greater. 4. Here, $3 > 2$, so $\frac{3}{6} > \frac{2}{6}$. 5. To simplify, both fractions can be reduced by dividing numerator and denominator by their greatest common divisor (GCD). 6. For $\frac{3}{6}$, GCD is 3: $$\frac{\cancel{3}}{\cancel{6}} = \frac{1}{2}$$ 7. For $\frac{2}{6}$, GCD is 2: $$\frac{\cancel{2}}{\cancel{6}} = \frac{1}{3}$$ 8. So, $\frac{3}{6} = \frac{1}{2}$ and $\frac{2}{6} = \frac{1}{3}$. 9. Since $\frac{1}{2} > \frac{1}{3}$, the original comparison holds. Final answer: $\frac{3}{6} > \frac{2}{6}$ or simplified $\frac{1}{2} > \frac{1}{3}$.