To add \( 3 \frac{1}{4} \) and \( 3 \frac{5}{8} \), follow these steps:

1. **Convert the mixed numbers to improper fractions**:
   - \( 3 \frac{1}{4} = \frac{13}{4} \)
   - \( 3 \frac{5}{8} = \frac{29}{8} \)

2. **Find a common denominator**: The least common denominator (LCD) of 4 and 8 is 8.
   - Convert \( \frac{13}{4} \) to have a denominator of 8: 
   \[
   \frac{13}{4} = \frac{13 \times 2}{4 \times 2} = \frac{26}{8}
   \]

3. **Add the fractions**:
   \[
   \frac{26}{8} + \frac{29}{8} = \frac{26 + 29}{8} = \frac{55}{8}
   \]

4. **Convert back to a mixed number**:
   \[
   \frac{55}{8} = 6 \frac{7}{8}
   \]

So, \( 3 \frac{1}{4} + 3 \frac{5}{8} = 6 \frac{7}{8} \).

Do you want more details or have any questions?

Here are 5 related questions:
1. How do you subtract mixed numbers with different denominators?
2. What is \( 2 \frac{1}{3} + 4 \frac{3}{5} \)?
3. How can you simplify fractions before adding them?
4. What is the LCD for fractions with denominators 6 and 9?
5. How do you multiply mixed numbers?

**Tip**: Always convert mixed numbers into improper fractions before performing addition or subtraction.

Learn how to add 3 1/4 and 3 5/8 with this detailed step-by-step solution. This problem focuses on converting mixed numbers to improper fractions, finding the least common denominator, and simplifying the result. Ideal for students in Grades 4-6.

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