## Multiplying Mixed Numbers: 1 2/3 x 4

This article will guide you through multiplying the mixed number 1 2/3 by the whole number 4.

### Understanding Mixed Numbers

A **mixed number** is a combination of a whole number and a fraction. For example, 1 2/3 represents one whole and two-thirds of another.

### Converting to Improper Fractions

To multiply mixed numbers, it's easier to first convert them to **improper fractions**. An improper fraction has a numerator larger than or equal to its denominator.

Here's how to convert 1 2/3 to an improper fraction:

**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 1 2/3 as 5/3.

### Multiplying Fractions

Multiplying fractions is simple:

**Multiply the numerators:**5 x 4 = 20**Multiply the denominators:**3 x 1 = 3**Simplify the result:**20/3

Therefore, 1 2/3 x 4 = **20/3**.

### Converting Back to a Mixed Number (Optional)

The answer 20/3 is an improper fraction. To convert it back to a mixed number:

**Divide the numerator by the denominator:**20 ÷ 3 = 6 with a remainder of 2**The quotient (6) becomes the whole number part of the mixed number.****The remainder (2) becomes the numerator of the fraction.****Keep the same denominator (3):**6 2/3

So, 1 2/3 x 4 can also be expressed as **6 2/3**.

### Conclusion

By converting mixed numbers to improper fractions, we can easily multiply them. Remember to simplify the result and optionally convert it back to a mixed number if desired.