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

This article will guide you through the process of multiplying mixed numbers, specifically focusing on **1 1/2 x 3 1/2**.

### Converting Mixed Numbers to Fractions

Before multiplying, we need to convert the mixed numbers into improper fractions. Here's how:

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1). Keep the same denominator (2). This gives us**3/2**.**3 1/2:**Multiply the whole number (3) by the denominator (2) and add the numerator (1). Keep the same denominator (2). This gives us**7/2**.

### Multiplying Fractions

Now that we have improper fractions, we can multiply them:

**(3/2) x (7/2)**

To multiply fractions, simply multiply the numerators and the denominators:

**(3 x 7) / (2 x 2)**

This simplifies to **21/4**.

### Converting Back to a Mixed Number

The result, **21/4**, is an improper fraction. Let's convert it back to a mixed number:

- Divide the numerator (21) by the denominator (4). This gives us 5 with a remainder of 1.
- The whole number part of the mixed number is 5.
- The remainder (1) becomes the numerator of the fractional part. The denominator stays the same (4).

Therefore, **21/4** is equivalent to **5 1/4**.

### Conclusion

We have successfully multiplied 1 1/2 by 3 1/2. The answer is **5 1/4**. Remember to always convert mixed numbers to improper fractions before multiplying and then convert the result back to a mixed number if necessary.