To add $\frac{3}{4}$ and $\frac{1}{6}$, we first need a common denominator. The least common multiple of 4 and 6 is 12.

Now, convert each fraction:

1. $\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$
2. $\frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12}$

Now, add the two fractions:

$\frac{9}{12} + \frac{2}{12} = \frac{11}{12}$

Thus, $\frac{3}{4} + \frac{1}{6} = \frac{11}{12}$.

Would you like more details or have any questions? Here are some related questions to consider:

1. How do you find the least common multiple (LCM) of two numbers?
2. What would happen if the fractions had different numerators?
3. How can you simplify the fraction $\frac{11}{12}$?
4. Can you explain how to subtract fractions with different denominators?
5. What are some real-world applications of adding fractions?

Tip: Always convert fractions to a common denominator before adding or subtracting them.