https://file.aiquickdraw.com/mathbot/file/17262794954946js79n5x.jpg

The image shows the addition of two mixed numbers:

\[
6 \frac{1}{3} + 2 \frac{2}{3}
\]

### Step-by-Step Solution:
1. **Convert the mixed numbers to improper fractions:**
   - For \( 6 \frac{1}{3} \):
     \[
     6 \frac{1}{3} = \frac{6 \times 3 + 1}{3} = \frac{18 + 1}{3} = \frac{19}{3}
     \]
   - For \( 2 \frac{2}{3} \):
     \[
     2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}
     \]

2. **Add the improper fractions:**
   Since both fractions have the same denominator, you can directly add the numerators:
   \[
   \frac{19}{3} + \frac{8}{3} = \frac{19 + 8}{3} = \frac{27}{3}
   \]

3. **Simplify the result:**
   \[
   \frac{27}{3} = 9
   \]

### Final Answer:
\[
6 \frac{1}{3} + 2 \frac{2}{3} = 9
\]

Would you like more details or have any questions?

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Here are 5 related questions:
1. How do you convert other mixed numbers into improper fractions?
2. What is the process of adding fractions with different denominators?
3. How can you subtract mixed numbers?
4. What are mixed numbers and how do you simplify them?
5. Can you convert improper fractions back into mixed numbers?

**Tip:** When adding mixed numbers, converting them into improper fractions first makes calculations easier.

What is the sum of the mixed numbers 6 1/3 and 2 2/3?

Learn how to add the mixed numbers 6 1/3 and 2 2/3 by converting them to improper fractions and simplifying the result. This math problem covers key concepts like improper fractions and addition with like denominators, suitable for students in Grades 5-6.

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