To add mixed numbers like \(6 \frac{2}{3} + 6 \frac{4}{7}\), follow these steps:

### Step 1: Add the whole numbers
\(6 + 6 = 12\)

### Step 2: Add the fractions
We need to add \( \frac{2}{3} + \frac{4}{7} \).
To do this, find a common denominator.

The least common denominator (LCD) of 3 and 7 is 21.

\[
\frac{2}{3} = \frac{14}{21}, \quad \frac{4}{7} = \frac{12}{21}
\]

Now, add the fractions:

\[
\frac{14}{21} + \frac{12}{21} = \frac{26}{21} = 1 \frac{5}{21}
\]

### Step 3: Combine the results
Now, add \(12\) and \(1 \frac{5}{21}\):

\[
12 + 1 \frac{5}{21} = 13 \frac{5}{21}
\]

### Final Answer:
\[
6 \frac{2}{3} + 6 \frac{4}{7} = 13 \frac{5}{21}
\]

Would you like more details or have any questions?

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Here are five related questions:
1. How do you subtract mixed numbers?
2. What is the process of converting improper fractions to mixed numbers?
3. How do you multiply two mixed numbers?
4. How can you add fractions with different denominators?
5. What is the simplest form of a fraction?

**Tip:** Always simplify fractions to their lowest terms after performing operations!

Learn how to add mixed numbers such as 6 2/3 + 6 4/7 in this step-by-step guide. We cover finding the least common denominator, adding fractions, and combining results. Suitable for students in Grades 5-7.

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