## Multiplying Mixed Numbers: A Step-by-Step Guide

Multiplying mixed numbers can seem daunting at first, but it's actually a straightforward process. Let's break down how to multiply **1 1/2 x 3 3/4**.

### 1. Convert Mixed Numbers to Improper Fractions

**1 1/2:**Multiply the whole number (1) by the denominator (2), then add the numerator (1). Keep the same denominator. This gives us (1 x 2 + 1) / 2 =**3/2**.**3 3/4:**Multiply the whole number (3) by the denominator (4), then add the numerator (3). Keep the same denominator. This gives us (3 x 4 + 3) / 4 =**15/4**.

### 2. Multiply the Fractions

Now we have: **(3/2) x (15/4)**.

To multiply fractions, we simply multiply the numerators and the denominators.

- (3 x 15) / (2 x 4) =
**45/8**

### 3. Simplify to a Mixed Number

The improper fraction 45/8 can be converted back to a mixed number.

- Divide the numerator (45) by the denominator (8). The result is 5 with a remainder of 5.
- This means our answer is
**5 5/8**.

### Conclusion

By following these simple steps, we have successfully multiplied **1 1/2 x 3 3/4** to get **5 5/8**. Remember, converting mixed numbers to improper fractions makes the multiplication easier.