To solve \( 4 \frac{1}{2} \times 3 \frac{3}{5} \), follow these steps:

### Step 1: Convert mixed numbers to improper fractions
- \( 4 \frac{1}{2} = \frac{9}{2} \)
- \( 3 \frac{3}{5} = \frac{18}{5} \)

### Step 2: Multiply the improper fractions
\[
\frac{9}{2} \times \frac{18}{5} = \frac{9 \times 18}{2 \times 5} = \frac{162}{10}
\]

### Step 3: Simplify the fraction
\[
\frac{162}{10} = 16 \frac{2}{5}
\]

Thus, \( 4 \frac{1}{2} \times 3 \frac{3}{5} = 16 \frac{2}{5} \).

Would you like any more details or clarifications?

Here are 5 related questions:
1. How do you add or subtract mixed numbers?
2. What is the process of converting improper fractions to mixed numbers?
3. Can you show how to divide mixed numbers?
4. How do you simplify complex fractions?
5. What are some real-world applications of multiplying mixed numbers?

**Tip:** Always convert mixed numbers to improper fractions before performing multiplication or division.

Learn how to multiply mixed numbers like 4 1/2 and 3 3/5 by converting them to improper fractions. This detailed solution simplifies the process step-by-step, providing key formulas for converting and multiplying fractions. Perfect for students in Grades 5-7.

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