## Dividing a Mixed Number by a Whole Number: 1 1/3 / 3

This article will guide you through the process of dividing the mixed number **1 1/3** by the whole number **3**.

### Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our example, **1 1/3** represents one whole and one-third.

### Converting to an Improper Fraction

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

**Multiply the whole number (1) by the denominator of the fraction (3):**1 * 3 = 3**Add the numerator of the fraction (1):**3 + 1 = 4**Keep the same denominator (3):**This gives us the improper fraction**4/3**.

### Dividing Fractions

Now we have the problem: **4/3 / 3**.

Dividing by a whole number is the same as multiplying by its reciprocal. The reciprocal of **3** is **1/3**.

So, our problem becomes: **(4/3) * (1/3)**.

### Multiplying Fractions

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

**Numerators:**4 * 1 = 4**Denominators:**3 * 3 = 9

This gives us the fraction **4/9**.

### Simplifying the Answer

The fraction **4/9** is already in its simplest form, as there are no common factors between 4 and 9.

### Conclusion

Therefore, **1 1/3 / 3 = 4/9**.