https://file.aiquickdraw.com/mathbot/file/172603834233891ts87rg.jpg

The equation shown in the image can be solved step by step. Here's a breakdown of the problem:

1. \( 2 \frac{3}{8} \div 3 \frac{1}{2} = \frac{19}{8} \times \frac{2}{7} \)

### Step-by-step solution:

1. **Convert mixed numbers to improper fractions:**
   - \( 2 \frac{3}{8} = \frac{19}{8} \)
   - \( 3 \frac{1}{2} = \frac{7}{2} \)

2. **Rewrite the equation:**
   \[
   \frac{19}{8} \div \frac{7}{2} = \frac{19}{8} \times \frac{2}{7}
   \]

3. **Multiply fractions:**
   \[
   \frac{19}{8} \times \frac{2}{7} = \frac{19 \times 2}{8 \times 7} = \frac{38}{56}
   \]

4. **Simplify the fraction:**
   \[
   \frac{38}{56} = \frac{19}{28}
   \]

The final answer is \( \frac{19}{28} \).

Let me know if you need further details on any part of this solution! Here are five related questions to enhance understanding:

1. How do you convert a mixed number to an improper fraction?
2. What is the process of dividing fractions?
3. How do you simplify fractions after multiplication?
4. Why is it important to simplify fractions in final answers?
5. Can you explain how to multiply two fractions?

**Tip:** Always remember to simplify fractions by finding the greatest common divisor (GCD) for more accurate results.

Learn how to solve a fraction problem involving mixed numbers and fraction multiplication. This step-by-step guide covers how to convert mixed numbers to improper fractions, divide fractions, and simplify them. Suitable for students in Grades 5-7.

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