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

This article will walk you through how to multiply the mixed number 1 2/3 by itself three times, resulting in a fraction.

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In the case of 1 2/3, we have one whole unit and two-thirds of another unit.

### Converting to Improper Fractions

To multiply mixed numbers, the first step is to convert them into improper fractions. An improper fraction has a numerator that is greater than or equal to the denominator.

To convert 1 2/3 to an improper fraction:

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

Now we have 5/3 representing the mixed number 1 2/3.

### Multiplication

We are multiplying 1 2/3 by itself three times, which is equivalent to:

(5/3) x (5/3) x (5/3)

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

(5 x 5 x 5) / (3 x 3 x 3) = 125/27

### Final Result

The product of 1 2/3 x 1 2/3 x 1 2/3 is **125/27**. This is an improper fraction, but it can be represented as a mixed number if desired.

To convert 125/27 to a mixed number, divide 125 by 27:

- 125 ÷ 27 = 4 with a remainder of 17

Therefore, 125/27 is equivalent to **4 17/27**.