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

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

### Understanding Mixed Numbers

A mixed number combines a whole number with a fraction. For example, **1 2/9** means one whole and two-ninths. To multiply mixed numbers, we need to convert them into improper fractions.

### Converting Mixed Numbers to Improper Fractions

**1. Multiply the whole number by the denominator of the fraction.**
* For 1 2/9: 1 x 9 = 9

**2. Add the numerator of the fraction to the result from step 1.**
* 9 + 2 = 11

**3. Keep the same denominator.**
* The improper fraction is **11/9**.

**4. Repeat the process for the other mixed number.**
* For 1 4/5: 1 x 5 = 5
* 5 + 4 = 9
* The improper fraction is **9/5**.

### Multiplying Improper Fractions

Now we have the problem: **11/9 x 9/5**.

**1. Multiply the numerators.**
* 11 x 9 = 99

**2. Multiply the denominators.**
* 9 x 5 = 45

**3. Simplify the resulting fraction.**
* 99/45 can be simplified by dividing both numerator and denominator by their greatest common factor, 9.
* 99 / 9 = 11
* 45 / 9 = 5

**Therefore, 1 2/9 times 1 4/5 is equal to 11/5.**

### Converting Back to a Mixed Number (Optional)

If you wish to express the answer as a mixed number, divide the numerator (11) by the denominator (5).

- 11 ÷ 5 = 2 with a remainder of 1.
- The quotient (2) becomes the whole number, and the remainder (1) becomes the numerator of the fraction.
- The denominator stays the same.

**Therefore, 11/5 as a mixed number is 2 1/5.**