1. Simplify the expression $\frac{x}{2} + \frac{3x}{4}$. 2. To add fractions, find a common denominator. Here, denominators are 2 and 4. The least common denominator (LCD) is 4. 3. Rewrite $\frac{x}{2}$ as $\frac{2x}{4}$ to have the same denominator: $$\frac{2x}{4} + \frac{3x}{4}$$ 4. Now add the numerators: $$\frac{2x + 3x}{4} = \frac{5x}{4}$$ 5. The simplified form of the expression is: $$\frac{5x}{4}$$ This means the sum of $\frac{x}{2}$ and $\frac{3x}{4}$ is $\frac{5x}{4}$.