1. The problem is to compare and simplify the given fractions: $\frac{2}{4}$, $\frac{4}{8}$, $\frac{1}{3}$, $\frac{2}{6}$, and $\frac{4}{12}$. 2. Simplify each fraction to its lowest terms:\ - $\frac{2}{4} = \frac{1}{2}$ (dividing numerator and denominator by 2).\ - $\frac{4}{8} = \frac{1}{2}$ (dividing numerator and denominator by 4).\ - $\frac{1}{3}$ is already in simplest form.\ - $\frac{2}{6} = \frac{1}{3}$ (dividing numerator and denominator by 2).\ - $\frac{4}{12} = \frac{1}{3}$ (dividing numerator and denominator by 4). 3. From the simplification, we see:\ - $\frac{2}{4} = \frac{4}{8} = \frac{1}{2}$.\ - $\frac{1}{3} = \frac{2}{6} = \frac{4}{12}$. 4. The graphs you described represent fractions in pie chart form, each shaded portion representing the fraction value. This visualization confirms the equivalent fractions for halves and thirds. Final answer: $\frac{2}{4} = \frac{4}{8} = \frac{1}{2}$ and $\frac{1}{3} = \frac{2}{6} = \frac{4}{12}$.