1. The problem involves comparing fractions: $\frac{1}{2}$ and $\frac{1}{4}$.\n\n2. To compare fractions, we can find a common denominator or convert them to decimals. The denominators are 2 and 4. The least common denominator (LCD) is 4.\n\n3. Convert $\frac{1}{2}$ to a fraction with denominator 4: $$\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}$$\n\n4. Now compare $\frac{2}{4}$ and $\frac{1}{4}$. Since $2 > 1$, we have $$\frac{2}{4} > \frac{1}{4}$$\n\n5. Therefore, $$\frac{1}{2} > \frac{1}{4}$$\n\n6. This means $\frac{1}{2}$ is greater than $\frac{1}{4}$.\n