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

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

### Converting Mixed Numbers to Improper Fractions

The first step is to convert the mixed numbers into improper fractions.

**1 1/4:**

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

**1 1/2:**

- Multiply the whole number (1) by the denominator of the fraction (2): 1 * 2 = 2
- Add the numerator (1) to the product: 2 + 1 = 3
- Keep the same denominator (2): 3/2

### Multiplying Improper Fractions

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

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

### Converting Back to a Mixed Number

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

- Divide the numerator (15) by the denominator (8): 15 ÷ 8 = 1 with a remainder of 7
- The quotient (1) becomes the whole number of the mixed number.
- The remainder (7) becomes the numerator of the fraction.
- The denominator (8) stays the same.

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

### Conclusion

The product of 1 1/4 and 1 1/2 is **1 7/8**. Remember, when multiplying mixed numbers, it's always best to convert them into improper fractions first, then multiply.