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

This article will guide you through multiplying the mixed number **1 2/3** by itself, resulting in a fractional form.

### Converting Mixed Numbers to Fractions

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

**1 2/3:**Multiply the whole number (1) by the denominator (3), then add the numerator (2): (1 x 3) + 2 = 5. Keep the same denominator: 5/3.

Now we have: (5/3) x (5/3)

### Multiplying Fractions

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

(5/3) x (5/3) = (5 x 5) / (3 x 3) = 25/9

### Converting Back to Mixed Number (Optional)

While 25/9 is a valid answer, it can be expressed as a mixed number:

- Divide the numerator (25) by the denominator (9): 25 ÷ 9 = 2 with a remainder of 7.
- The quotient (2) becomes the whole number part.
- The remainder (7) becomes the numerator of the fraction.
- The denominator (9) stays the same.

Therefore, 25/9 is equivalent to **2 7/9**.

### Conclusion

1 2/3 multiplied by 1 2/3 equals **25/9** or **2 7/9**.