1. **State the problem:** Calculate the sum of $\frac{1}{2} + \frac{1}{2}$.\n\n2. **Formula used:** When adding fractions with the same denominator, add the numerators and keep the denominator the same: $$\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$$\n\n3. **Apply the formula:** Here, both fractions have denominator 2, so add the numerators: $$\frac{1}{2} + \frac{1}{2} = \frac{1+1}{2}$$\n\n4. **Simplify the numerator:** $$\frac{2}{2}$$\n\n5. **Simplify the fraction:** Since numerator and denominator are the same, $$\frac{\cancel{2}}{\cancel{2}} = 1$$\n\n6. **Final answer:** $$1$$