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

This article will guide you through the process of multiplying mixed numbers, using the example of **1 1/2 x 1 1/2**.

### Understanding Mixed Numbers

A **mixed number** combines a whole number and a fraction. For example, 1 1/2 represents one whole and half of another.

### Converting Mixed Numbers to Fractions

Before multiplying, we need to convert the mixed numbers into improper fractions:

**1 1/2:**Multiply the whole number (1) by the denominator of the fraction (2) and add the numerator (1): (1 * 2) + 1 = 3. Keep the denominator: 3/2.**1 1/2:**Following the same process: (1 * 2) + 1 = 3. Keep the denominator: 3/2.

### Multiplying Fractions

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

**(3/2) x (3/2) = (3 x 3) / (2 x 2)****= 9/4**

### Converting Back to a Mixed Number

The result, 9/4, is an improper fraction. To convert it back 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.****The remainder (1) becomes the numerator of the fraction, and the denominator stays the same (4).**

Therefore, 9/4 is equivalent to **2 1/4**.

### Conclusion

We have successfully multiplied 1 1/2 by 1 1/2, finding that **1 1/2 x 1 1/2 = 2 1/4**. By converting mixed numbers to improper fractions and following the rules of fraction multiplication, we can easily perform this calculation.