The problem asks to calculate the sum of $\frac{3}{2} + \frac{3}{4}$.

Solution:

1. Find a common denominator between 2 and 4. The least common denominator (LCD) is 4.
2. Convert $\frac{3}{2}$ to have the denominator 4: $\frac{3}{2} = \frac{6}{4}$
3. Now, add the fractions: $\frac{6}{4} + \frac{3}{4} = \frac{6+3}{4} = \frac{9}{4}$

Thus, the sum is $\frac{9}{4}$, which can also be expressed as the mixed number $2 \frac{1}{4}$.

Would you like more details or have any other questions?

Here are 5 related questions:

1. How do you subtract fractions with different denominators?
2. What is the least common denominator and how is it found?
3. How do you convert an improper fraction to a mixed number?
4. Can fractions be added if they already have the same denominator?
5. How would you multiply or divide fractions like $\frac{3}{2}$ and $\frac{3}{4}$?

Tip: Always simplify fractions after adding, subtracting, multiplying, or dividing them to get the simplest form of the answer.