1. **State the problem:** Add the fractions $\frac{3}{4}$ and $\frac{11}{12}$. 2. **Formula and rules:** To add fractions, they must have a common denominator. Find the least common denominator (LCD) of 4 and 12. 3. The LCD of 4 and 12 is 12 because 12 is the smallest number divisible by both 4 and 12. 4. Convert $\frac{3}{4}$ to a fraction with denominator 12: $$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$$ 5. Now add the fractions: $$\frac{9}{12} + \frac{11}{12} = \frac{9 + 11}{12} = \frac{20}{12}$$ 6. Simplify the fraction $\frac{20}{12}$ by dividing numerator and denominator by their greatest common divisor (GCD), which is 4: $$\frac{\cancel{20}^{\,5}}{\cancel{12}^{\,3}} = \frac{5}{3}$$ 7. The final answer is $\frac{5}{3}$ or as a mixed number $1 \frac{2}{3}$.