## Multiplying Mixed Numbers: Finding 1 1/4 times 1 1/4

This article will guide you through multiplying the mixed number 1 1/4 by itself, resulting in a fraction.

### Understanding Mixed Numbers

Before diving into the multiplication, let's remember what mixed numbers are. A mixed number combines a whole number and a fraction. For example, 1 1/4 represents one whole and one-quarter.

### Converting to Improper Fractions

To multiply mixed numbers, we first need to convert them into improper fractions. Here's how:

**Multiply the whole number by the denominator:**1 * 4 = 4**Add the numerator:**4 + 1 = 5**Keep the same denominator:**5/4

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

### Multiplying the Fractions

Now, we can multiply the two improper fractions:

(5/4) * (5/4) = (5 * 5) / (4 * 4) = 25/16

### Converting Back to a Mixed Number

The result, 25/16, is an improper fraction. Let's convert it back to a mixed number:

**Divide the numerator by the denominator:**25 ÷ 16 = 1 with a remainder of 9**The quotient becomes the whole number:**1**The remainder becomes the numerator:**9**Keep the same denominator:**16

Therefore, 25/16 is equivalent to **1 9/16**.

### Conclusion

Multiplying 1 1/4 by itself results in 1 9/16. Remember to convert the mixed numbers to improper fractions before multiplying and then convert the result back to a mixed number if necessary.