## Multiplying Mixed Numbers: 1 2/9 * 1 4/5

This article will guide you through the process of multiplying the mixed numbers 1 2/9 and 1 4/5.

### Understanding Mixed Numbers

Mixed numbers combine a whole number and a fraction. In this case, we have:

**1 2/9:**Represents one whole and two-ninths.**1 4/5:**Represents one whole and four-fifths.

### Converting to Improper Fractions

To multiply mixed numbers, we first need to convert them into improper fractions:

**1. 1 2/9:**
* Multiply the whole number (1) by the denominator of the fraction (9): 1 * 9 = 9
* Add the numerator of the fraction (2): 9 + 2 = 11
* Keep the same denominator (9): 11/9

**2. 1 4/5:**
* Multiply the whole number (1) by the denominator of the fraction (5): 1 * 5 = 5
* Add the numerator of the fraction (4): 5 + 4 = 9
* Keep the same denominator (5): 9/5

### Multiplying Improper Fractions

Now, we can multiply the improper fractions:

**(11/9) * (9/5)**

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

**(11 * 9) / (9 * 5)**

This simplifies to:

**99 / 45**

### Simplifying the Answer

We can simplify this fraction by finding the greatest common factor (GCF) of 99 and 45, which is 9. Dividing both numerator and denominator by 9:

**(99 / 9) / (45 / 9) = 11 / 5**

### Converting back to Mixed Number

Finally, we can convert the improper fraction 11/5 back to a mixed number:

**11 / 5 = 2 1/5**

Therefore, **1 2/9 * 1 4/5 = 2 1/5**