1. **Problem:** Add $\frac{1}{2} + \frac{1}{4}$. 2. **Formula:** To add fractions, first find a common denominator, then add the numerators. 3. **Step 1:** Change $\frac{1}{2}$ to an equivalent fraction with denominator 4: $$\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}$$ 4. **Step 2:** Add the fractions: $$\frac{2}{4} + \frac{1}{4} = \frac{2+1}{4} = \frac{3}{4}$$ 5. **Final answer:** $\frac{3}{4}$ This shows the full process of finding equivalent fractions, adding numerators, and simplifying if needed.