1. **State the problem:** Add two fractions, for example, $\frac{a}{b} + \frac{c}{d}$. 2. **Formula:** To add fractions, use the formula $$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$ where $b$ and $d$ are denominators. 3. **Important rule:** Fractions must have a common denominator to be added directly. If denominators differ, find the least common denominator (LCD). 4. **Example:** Add $\frac{2}{3} + \frac{1}{4}$. 5. Find the LCD of 3 and 4, which is 12. 6. Convert each fraction: $$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$$ and $$\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$$. 7. Add the numerators: $$\frac{8}{12} + \frac{3}{12} = \frac{8 + 3}{12} = \frac{11}{12}$$. 8. The sum is $\frac{11}{12}$, which is already in simplest form. **Final answer:** $\frac{11}{12}$