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

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

### Converting Mixed Numbers to Fractions

First, we need to convert the mixed number **1 2/3** to an improper fraction. To do this, we multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us 5. We then keep the same denominator (3).

Therefore, **1 2/3** is equivalent to **5/3**.

### Multiplying the Fractions

Now we can multiply the fractions:

**5/3 x 2/3**

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

**(5 x 2) / (3 x 3)**

This simplifies to **10/9**.

### Converting Back to a Mixed Number

The answer, **10/9**, is an improper fraction. We can convert it back to a mixed number:

- Divide the numerator (10) by the denominator (9). This gives us 1 with a remainder of 1.
- The quotient (1) becomes the whole number of the mixed number.
- The remainder (1) becomes the numerator of the fraction.
- The denominator (9) stays the same.

Therefore, **10/9** is equivalent to **1 1/9**.

### Conclusion

So, 1 2/3 times 2/3 is equal to **1 1/9**.