## Multiplying Mixed Numbers: 1 2/9 x 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

Before we start, let's remember what mixed numbers are. They are a combination of a whole number and a fraction. For example, 1 2/9 represents one whole plus two-ninths.

### Converting to Improper Fractions

The first step in multiplying mixed numbers is to convert them into improper fractions. To do this:

**Multiply the whole number by the denominator of the fraction.**In 1 2/9, 1 x 9 = 9.**Add the numerator.**9 + 2 = 11.**Keep the same denominator.**This gives us 11/9.

We apply the same process to 1 4/5: 1 x 5 = 5, 5 + 4 = 9, so 1 4/5 becomes 9/5.

### Multiplying the Improper Fractions

Now that we have improper fractions, we can multiply them like any other fraction:

**Multiply the numerators.**11 x 9 = 99.**Multiply the denominators.**9 x 5 = 45.

This gives us 99/45.

### Simplifying the Answer

The final step is to simplify the improper fraction 99/45. We can do this by finding the greatest common factor (GCF) of the numerator and denominator, which is 9. Dividing both by 9, we get 11/5.

### Converting Back to Mixed Number (Optional)

Since the answer is an improper fraction, we can convert it back to a mixed number:

**Divide the numerator by the denominator.**11 ÷ 5 = 2 with a remainder of 1.**The quotient becomes the whole number.**So we have 2.**The remainder becomes the numerator of the fraction.**The denominator stays the same. This gives us 2 1/5.

### Conclusion

Therefore, 1 2/9 multiplied by 1 4/5 equals **11/5** or **2 1/5**. Remember to always convert mixed numbers to improper fractions before multiplying, and simplify your answer if possible.