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

This article will guide you through the process of multiplying mixed numbers, using the example of **1 1/2 x 1 1/4**.

### Step 1: Convert Mixed Numbers to Improper Fractions

First, we need to convert both 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. This gives us (1 * 2 + 1) / 2 =**3/2**.**1 1/4:**Follow the same process: (1 * 4 + 1) / 4 =**5/4**.

### Step 2: Multiply the Fractions

Now we have the problem: **3/2 * 5/4**. To multiply fractions, simply multiply the numerators and the denominators:

(3 * 5) / (2 * 4) = **15/8**

### Step 3: Simplify (if possible)

The fraction 15/8 is an improper fraction. We can convert it back to a mixed number:

- Divide the numerator (15) by the denominator (8). This gives us 1 with a remainder of 7.
- The quotient (1) becomes the whole number part of the mixed number.
- The remainder (7) becomes the numerator of the fraction, and the denominator stays the same (8).

Therefore, 15/8 is equal to **1 7/8**.

### Conclusion

We have successfully multiplied 1 1/2 by 1 1/4 and found the answer to be **1 7/8**. This method can be used to multiply any two mixed numbers.