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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.

Learn how to add fractions with different denominators like 3/2 and 3/4 by finding the least common denominator and simplifying the result. This math problem is ideal for students in Grades 5-7.

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