https://file.aiquickdraw.com/mathbot/file/1727100567063evimjvz3.jpg

The problem in the image is the sum of two fractions:

\[
\frac{3}{7} + \frac{4}{3}
\]

### Step-by-Step Solution:
1. **Find a common denominator**:  
   The denominators are 7 and 3. The least common denominator (LCD) is 21.

2. **Rewrite the fractions** with the LCD of 21:
   - \(\frac{3}{7} = \frac{3 \times 3}{7 \times 3} = \frac{9}{21}\)
   - \(\frac{4}{3} = \frac{4 \times 7}{3 \times 7} = \frac{28}{21}\)

3. **Add the two fractions**:
   \[
   \frac{9}{21} + \frac{28}{21} = \frac{9 + 28}{21} = \frac{37}{21}
   \]

So, the result of the sum is:

\[
\frac{37}{21}
\]

This is the final answer in improper fraction form.

Would you like further details on any of the steps? Here are some related questions to consider:

1. How do you simplify fractions after addition?
2. What happens when denominators are already the same?
3. How can you convert improper fractions into mixed numbers?
4. Can you use another method to solve this sum without using an LCD?
5. What if the fractions involved negative numbers?

**Tip:** When adding fractions, always ensure the denominators are the same before proceeding with addition.

Learn how to add fractions with different denominators. In this problem, we add 3/7 and 4/3 by finding the least common denominator and performing fraction addition. Suitable for students in Grades 6-8.

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