## Multiplying a Mixed Number by a Whole Number: 1 2/3 x 2

This article will guide you through the process of multiplying a mixed number, 1 2/3, by a whole number, 2.

### Converting the Mixed Number to an Improper Fraction

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

**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 the equivalent improper fraction for 1 2/3, which is 5/3.

### Multiplying the Fractions

We can now multiply the improper fraction, 5/3, by the whole number, 2. Remember that a whole number can be written as a fraction by placing it over 1:

5/3 x 2/1

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

(5 x 2) / (3 x 1) = 10/3

### Simplifying the Result

The fraction 10/3 is an improper fraction. We can convert it back to a mixed number:

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

Therefore, 1 2/3 x 2 = **3 1/3**.