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

Multiplying mixed numbers can seem a bit intimidating, but with the right approach, it's quite straightforward. Let's break down how to solve 1 1/2 x 3 1/2.

### Step 1: Convert to Improper Fractions

First, we need to transform our mixed numbers into improper fractions.

**1 1/2:**Multiply the whole number (1) by the denominator (2), then add the numerator (1). This gives us 3. Keep the same denominator (2). So, 1 1/2 is equivalent to 3/2.**3 1/2:**Multiply the whole number (3) by the denominator (2), then add the numerator (1). This gives us 7. Keep the same denominator (2). So, 3 1/2 is equivalent to 7/2.

### Step 2: Multiply the Fractions

Now we have 3/2 x 7/2. To multiply fractions, simply multiply the numerators and the denominators.

**Numerators:**3 x 7 = 21**Denominators:**2 x 2 = 4

This gives us 21/4.

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

The fraction 21/4 is an improper fraction, meaning the numerator is larger than the denominator. To convert it to a mixed number:

**Divide:**21 divided by 4 equals 5 with a remainder of 1.**Express:**This means 21/4 is equal to**5 1/4**.

### Conclusion

Therefore, 1 1/2 x 3 1/2 is equal to 21/4 or 5 1/4.