To add the mixed numbers \(8 \frac{1}{2}\) and \(4 \frac{1}{3}\), follow these steps:

1. **Separate the whole numbers and the fractions**:
   \[
   8 \frac{1}{2} = 8 + \frac{1}{2}
   \]
   \[
   4 \frac{1}{3} = 4 + \frac{1}{3}
   \]

2. **Add the whole numbers**:
   \[
   8 + 4 = 12
   \]

3. **Add the fractions**:  
   To add \(\frac{1}{2}\) and \(\frac{1}{3}\), find a common denominator.
   
   - The least common denominator (LCD) of 2 and 3 is 6.
   - Convert each fraction to have the denominator of 6:
     \[
     \frac{1}{2} = \frac{3}{6}
     \]
     \[
     \frac{1}{3} = \frac{2}{6}
     \]
   - Now, add the fractions:
     \[
     \frac{3}{6} + \frac{2}{6} = \frac{5}{6}
     \]

4. **Combine the results**:
   \[
   12 + \frac{5}{6} = 12 \frac{5}{6}
   \]

So, \(8 \frac{1}{2} + 4 \frac{1}{3} = 12 \frac{5}{6}\).

Would you like any further explanations or have any questions?

Here are 5 related questions to explore:

1. How do you add \( 7 \frac{3}{4} + 5 \frac{2}{5} \)?
2. What is the result of subtracting \( 4 \frac{1}{3} \) from \( 8 \frac{1}{2} \)?
3. How do you convert a mixed number to an improper fraction?
4. How can you simplify the sum of fractions with different denominators?
5. What is the sum of \( 12 \frac{5}{6} + 3 \frac{2}{6} \)?

**Tip:** When adding fractions with different denominators, always find the least common denominator (LCD) to make the addition easier.

Learn how to add mixed numbers 8 1/2 and 4 1/3 step-by-step with fractions. This problem covers adding fractions with unlike denominators and converting mixed numbers. Suitable for students in Grades 4-6.

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