To add the fractions $\frac{1}{2}$ and $\frac{3}{4}$, we need to find a common denominator.

The denominators are 2 and 4. The least common denominator (LCD) is 4.

Now, rewrite $\frac{1}{2}$ with 4 as the denominator: $\frac{1}{2} = \frac{2}{4}$

Now, we can add: $\frac{2}{4} + \frac{3}{4} = \frac{5}{4}$

So, the result is $\frac{5}{4}$, or $1 \frac{1}{4}$ in mixed fraction form.

Would you like to go over the steps in more detail or explore another question? Here are some related questions:

1. How do you subtract fractions with different denominators?
2. What is the process of simplifying fractions after addition?
3. How do you multiply two fractions together?
4. What is the difference between improper fractions and mixed numbers?
5. How do you convert fractions to decimals?

Tip: When adding fractions, always find the least common denominator (LCD) to simplify the process!