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

This article explores the process of multiplying a mixed number, 1 2/3, by 2.

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction, like 1 2/3. It represents the sum of the whole number and the fraction.

### Converting to an Improper Fraction

Before we multiply, it's helpful to convert the mixed number into an improper fraction. Here's how:

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

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

### Multiplication

Now, we can multiply the improper fraction by 2:

**(5/3) x 2 = 10/3**

### Simplifying the Result

The fraction 10/3 is an improper fraction, as the numerator is larger than the denominator. We can simplify this by converting it back to a mixed number:

**Divide the numerator by the denominator:**10 ÷ 3 = 3 with a remainder of 1**The quotient (3) becomes the whole number:**3**The remainder (1) becomes the numerator:**1**The denominator stays the same:**3

Therefore, 10/3 is equivalent to **3 1/3**.

### Conclusion

The answer to 1 2/3 x 2 is **3 1/3**.