## Multiplying Mixed Numbers: Finding 1 1/4 Times 1 1/2

This article will guide you through the process of multiplying mixed numbers, specifically finding the product of **1 1/4 times 1 1/2**.

### Converting Mixed Numbers to Fractions

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

**1 1/4:**Multiply the whole number (1) by the denominator (4), then add the numerator (1): (1 x 4) + 1 = 5. Keep the same denominator: 5/4.**1 1/2:**Multiply the whole number (1) by the denominator (2), then add the numerator (1): (1 x 2) + 1 = 3. Keep the same denominator: 3/2.

### Multiplying Fractions

Now that we have improper fractions, we can multiply them:

(5/4) * (3/2)

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

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

### Simplifying the Answer

The fraction 15/8 is an improper fraction because the numerator is greater than the denominator. To convert it to 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.****Keep the same denominator (8):**1 7/8

### Final Answer

Therefore, **1 1/4 times 1 1/2 equals 1 7/8**.