## Multiplying Mixed Numbers: 1 1/2 x 3 x 1 1/9

This article will guide you through the process of multiplying mixed numbers, focusing on the example of 1 1/2 x 3 x 1 1/9.

### Converting Mixed Numbers to Fractions

The first step is to convert each mixed number into an improper fraction. Here's how:

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1). Keep the same denominator. (1 x 2 + 1) / 2 = 3/2**1 1/9:**Multiply the whole number (1) by the denominator (9) and add the numerator (1). Keep the same denominator. (1 x 9 + 1) / 9 = 10/9

Now our problem becomes: **3/2 x 3 x 10/9**

### Multiplying Fractions

To multiply fractions, we multiply the numerators together and the denominators together.

**Numerators:**3 x 3 x 10 = 90**Denominators:**2 x 1 x 9 = 18

Our result is 90/18.

### Simplifying the Fraction

The fraction 90/18 can be simplified by finding the greatest common factor (GCF) of 90 and 18, which is 18.

**90 / 18 = 5****18 / 18 = 1**

Therefore, the simplified fraction is **5/1**.

### Final Answer

The final answer to the multiplication problem 1 1/2 x 3 x 1 1/9 is **5**.