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.