https://file.aiquickdraw.com/mathbot/file/1727195953965dnuj2v0e.jpg

The image contains a multiplication problem involving two mixed fractions:

\[
4 \frac{3}{8} \times 2 \frac{2}{5}
\]

### Step-by-Step Solution:

1. **Convert the mixed numbers to improper fractions:**

   - For \(4 \frac{3}{8}\):
     \[
     4 \frac{3}{8} = \frac{(4 \times 8) + 3}{8} = \frac{32 + 3}{8} = \frac{35}{8}
     \]

   - For \(2 \frac{2}{5}\):
     \[
     2 \frac{2}{5} = \frac{(2 \times 5) + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5}
     \]

2. **Multiply the improper fractions:**
   \[
   \frac{35}{8} \times \frac{12}{5} = \frac{35 \times 12}{8 \times 5} = \frac{420}{40}
   \]

3. **Simplify the resulting fraction:**
   \[
   \frac{420}{40} = \frac{420 \div 20}{40 \div 20} = \frac{21}{2}
   \]

4. **Convert the improper fraction back to a mixed number:**
   \[
   \frac{21}{2} = 10 \frac{1}{2}
   \]

### Final Answer:
\[
4 \frac{3}{8} \times 2 \frac{2}{5} = 10 \frac{1}{2}
\]

Let me know if you would like further explanation or details!

### Follow-up Questions:
1. How do you multiply mixed fractions?
2. What are the steps to simplify an improper fraction?
3. How do you convert improper fractions back to mixed numbers?
4. Why is it necessary to convert mixed numbers to improper fractions for multiplication?
5. Can you solve a similar problem using different fractions?

**Tip:** Always simplify fractions before multiplying to make calculations easier!

Multiply the mixed numbers 4 3/8 and 2 2/5.

Learn how to multiply the mixed numbers 4 3/8 and 2 2/5. This step-by-step solution explains how to convert mixed numbers into improper fractions, multiply, and simplify the result. Suitable for students in Grades 5-7.

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