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

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

### Understanding Mixed Numbers

Mixed numbers consist of a whole number and a fraction. For example, 1 1/3 represents one whole and one-third.

### Converting Mixed Numbers to Improper Fractions

Before multiplying, we need to convert the mixed numbers into improper fractions. Here's how:

**Multiply the whole number by the denominator:**1 x 3 = 3**Add the numerator:**3 + 1 = 4**Keep the same denominator:**4/3

Therefore, 1 1/3 is equivalent to 4/3.

Applying the same process to 1 2/3, we get:

**Multiply the whole number by the denominator:**1 x 3 = 3**Add the numerator:**3 + 2 = 5**Keep the same denominator:**5/3

So, 1 2/3 is equivalent to 5/3.

### Multiplying Fractions

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

**(4/3) x (5/3)**

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

**(4 x 5) / (3 x 3) = 20/9**

### Converting Back to Mixed Number

The result, 20/9, is an improper fraction. We can convert it back to a mixed number:

**Divide the numerator by the denominator:**20 ÷ 9 = 2 with a remainder of 2.**The quotient (2) becomes the whole number part of the mixed number.****The remainder (2) becomes the numerator of the fractional part.****The denominator stays the same (9).**

Therefore, 20/9 is equivalent to **2 2/9**.

### Conclusion

By converting the mixed numbers to improper fractions, multiplying the fractions, and converting the result back to a mixed number, we found that **1 1/3 x 1 2/3 = 2 2/9**.