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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 by finding the least common denominator. In this example, we add 3/2 + 3/4 and simplify the result into an improper fraction and a mixed number. This problem covers key concepts like fraction addition and converting improper fractions to mixed numbers. Suitable for students in Grades 5-7.

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