## Multiplying Mixed Numbers: 1 1/2 x 3/2

Multiplying mixed numbers can seem tricky, but it's actually quite straightforward. Let's break down how to solve **1 1/2 x 3/2**.

### Step 1: Convert Mixed Numbers to Improper Fractions

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1), keeping the same denominator: (1 * 2) + 1 = 3/2

### Step 2: Multiply the Fractions

- Now we have
**3/2 x 3/2**. - To multiply fractions, we multiply the numerators and the denominators: (3 x 3) / (2 x 2) = 9/4

### Step 3: Simplify to a Mixed Number (Optional)

- The fraction 9/4 is an improper fraction because the numerator is larger than the denominator.
- To convert it to a mixed number, divide the numerator (9) by the denominator (4): 9 ÷ 4 = 2 with a remainder of 1.
- The quotient (2) becomes the whole number part of the mixed number, and the remainder (1) becomes the numerator, keeping the same denominator:
**2 1/4**

### Conclusion

Therefore, **1 1/2 x 3/2 = 9/4 or 2 1/4**.