## Multiplying Fractions: 1 1/3 times 2

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

### Understanding Mixed Numbers

A mixed number is a combination of a whole number and a fraction. In the case of **1 1/3**, we have one whole and one-third of another.

### Converting Mixed Numbers to Improper Fractions

Before multiplying, we need to convert the mixed number **1 1/3** into an improper fraction.

**Multiply the whole number by the denominator:**1 * 3 = 3**Add the numerator:**3 + 1 = 4**Keep the same denominator:**4/3

Therefore, **1 1/3** is equivalent to **4/3**.

### Multiplication

Now, we can multiply **4/3** by **2**:

**(4/3) * 2 = 8/3**

### Simplifying the Answer

The fraction **8/3** is an improper fraction. To convert it back to a mixed number:

**Divide the numerator by the denominator:**8 ÷ 3 = 2 with a remainder of 2**The quotient becomes the whole number:**2**The remainder becomes the numerator:**2**Keep the same denominator:**2/3

Therefore, **8/3** is equivalent to **2 2/3**.

### Conclusion

The product of **1 1/3** and **2** is **2 2/3**. By understanding how to convert mixed numbers and perform fraction multiplication, you can confidently solve similar problems.