To multiply the two mixed numbers \( 2 \frac{1}{2} \) and \( 3 \frac{3}{4} \), follow these steps:

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

   \[
   2 \frac{1}{2} = \frac{5}{2}
   \]
   \[
   3 \frac{3}{4} = \frac{15}{4}
   \]

2. **Multiply the improper fractions**:

   \[
   \frac{5}{2} \times \frac{15}{4} = \frac{5 \times 15}{2 \times 4} = \frac{75}{8}
   \]

3. **Convert the improper fraction back to a mixed number**:

   \[
   \frac{75}{8} = 9 \frac{3}{8}
   \]

So, \( 2 \frac{1}{2} \times 3 \frac{3}{4} = 9 \frac{3}{8} \).

Would you like a more detailed explanation or have any questions?

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Here are five related questions:

1. How do you convert other mixed numbers into improper fractions?
2. What are some strategies to simplify fractions before multiplying?
3. How do you handle division of mixed numbers?
4. What is the process of converting an improper fraction back to a mixed number?
5. Can you solve an equation involving fractions and whole numbers?

**Tip**: When multiplying mixed numbers, always convert them into improper fractions first!

Learn how to multiply mixed numbers, such as 2 1/2 × 3 3/4, by converting them into improper fractions and then multiplying. This step-by-step solution is perfect for students in Grades 5-7, covering key arithmetic concepts like fraction multiplication and mixed number conversion.

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2 1/2 × 3 3/4

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