To add the mixed numbers $3 \frac{3}{8} + 1 \frac{5}{6}$, follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

• $3 \frac{3}{8} = \frac{8 \times 3 + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}$
• $1 \frac{5}{6} = \frac{6 \times 1 + 5}{6} = \frac{6 + 5}{6} = \frac{11}{6}$

Step 2: Find a common denominator.

The least common denominator (LCD) between 8 and 6 is 24.

• Convert $\frac{27}{8}$ to a denominator of 24:
  $\frac{27}{8} = \frac{27 \times 3}{8 \times 3} = \frac{81}{24}$

• Convert $\frac{11}{6}$ to a denominator of 24:
  $\frac{11}{6} = \frac{11 \times 4}{6 \times 4} = \frac{44}{24}$

Step 3: Add the fractions.

Now add $\frac{81}{24} + \frac{44}{24} = \frac{81 + 44}{24} = \frac{125}{24}$.

Step 4: Convert back to a mixed number.

• $\frac{125}{24}$ as a mixed number is $5 \frac{5}{24}$.

So, $3 \frac{3}{8} + 1 \frac{5}{6} = 5 \frac{5}{24}$.

Would you like further details on any part of this solution?

Here are 5 related questions:

1. How do you subtract mixed numbers?
2. Can you simplify improper fractions before converting to mixed numbers?
3. How do you find the least common denominator in other fraction problems?
4. What is the process for converting a mixed number into a decimal?
5. How do you multiply mixed numbers?

Tip: When dealing with mixed numbers, always convert them to improper fractions before performing operations like addition or subtraction.