## Multiplying Fractions: 1 2/3 x 1/3

This article will guide you through multiplying the mixed number **1 2/3** by the fraction **1/3**.

### Converting the Mixed Number

First, we need to convert the mixed number **1 2/3** into an improper fraction. To do this:

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

Now our problem is **5/3 x 1/3**.

### Multiplying Fractions

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

**Numerator:**5 x 1 = 5**Denominator:**3 x 3 = 9

This gives us the answer **5/9**.

### Simplifying the Fraction

The fraction **5/9** is already in its simplest form, as 5 and 9 have no common factors other than 1.

**Therefore, 1 2/3 x 1/3 = 5/9**