1. Problem: Add $\frac{1}{2} + \frac{1}{4}$. 2. Formula: To add fractions, use $$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$ where $a,b,c,d$ are integers and $b,d \neq 0$. 3. Find common denominator: $2$ and $4$ have common denominator $4$. 4. Convert $\frac{1}{2}$ to $\frac{2}{4}$ because $$\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}$$. 5. Add fractions: $$\frac{2}{4} + \frac{1}{4} = \frac{2+1}{4} = \frac{3}{4}$$. 6. Final answer: $\frac{3}{4}$. This is the first problem of 60 total problems found in the message.