## Multiplying Mixed Numbers: 1 1/4 x 2 1/4

This article will guide you through the steps of multiplying the mixed numbers 1 1/4 and 2 1/4.

### Understanding Mixed Numbers

Mixed numbers combine a whole number and a fraction. To multiply them, we first need to convert them into improper fractions.

### Converting to Improper Fractions

**1 1/4:**Multiply the whole number (1) by the denominator (4) and add the numerator (1). This gives us 5. Keep the same denominator (4). So, 1 1/4 is equivalent to 5/4.**2 1/4:**Multiply the whole number (2) by the denominator (4) and add the numerator (1). This gives us 9. Keep the same denominator (4). So, 2 1/4 is equivalent to 9/4.

### Multiplying Improper Fractions

Now, we have the problem: (5/4) x (9/4)

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

- (5 x 9) / (4 x 4) = 45/16

### Converting Back to a Mixed Number

The improper fraction 45/16 can be converted back to a mixed number:

- Divide the numerator (45) by the denominator (16): 45 ÷ 16 = 2 with a remainder of 13.
- The quotient (2) becomes the whole number part of the mixed number.
- The remainder (13) becomes the numerator of the fractional part.
- The denominator (16) stays the same.

Therefore, 45/16 is equivalent to **2 13/16**.

### Conclusion

The product of 1 1/4 and 2 1/4 is **2 13/16**.