## Multiplying Fractions: 1 1/3 x 1/2

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

### Understanding Mixed Numbers

A mixed number, like 1 1/3, represents a whole number plus a fraction. To multiply mixed numbers, it's helpful to convert them into improper fractions first.

### Converting to Improper Fractions

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

Now we have the equation: **4/3 x 1/2**

### Multiplying Fractions

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

**Numerators:**4 x 1 = 4**Denominators:**3 x 2 = 6

This gives us the result: **4/6**

### Simplifying the Fraction

The fraction 4/6 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2:

**4 ÷ 2 = 2****6 ÷ 2 = 3**

Therefore, the simplified answer is **2/3**.

### Conclusion

The product of 1 1/3 and 1/2 is **2/3**. By converting the mixed number to an improper fraction and applying the rules of fraction multiplication, we arrived at the simplified answer.