## Finding the Product of 1 1/4 and 1/2

This article will guide you through the process of multiplying the mixed number **1 1/4** by the fraction **1/2**.

### Understanding Mixed Numbers

First, let's understand what a mixed number represents. A mixed number like **1 1/4** combines a whole number (1) with a proper fraction (1/4). To perform multiplication, it's often helpful to convert mixed numbers into improper fractions.

### Converting Mixed Numbers to Improper Fractions

To convert **1 1/4** to an improper fraction, follow these steps:

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

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

### Multiplying Fractions

Now that we have both numbers as fractions, we can proceed with the multiplication.

**Multiply the numerators:**5 * 1 = 5**Multiply the denominators:**4 * 2 = 8

This gives us the result **5/8**.

### Simplifying the Result

The fraction **5/8** is already in its simplest form as the numerator and denominator have no common factors other than 1.

### Conclusion

Therefore, the product of **1 1/4** and **1/2** is **5/8**.