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

This article will guide you through the process of multiplying mixed numbers, specifically 1 1/2 x 3 1/3.

### Converting Mixed Numbers to Fractions

Before we can multiply, we need to convert our mixed numbers into improper fractions:

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives us 3. Keep the same denominator (2). So, 1 1/2 is equal to**3/2**.**3 1/3:**Multiply the whole number (3) by the denominator (3) and add the numerator (1). This gives us 10. Keep the same denominator (3). So, 3 1/3 is equal to**10/3**.

### Multiplying Fractions

Now we have: 3/2 x 10/3. To multiply fractions, we multiply the numerators and the denominators:

(3 x 10) / (2 x 3) = 30/6

### Simplifying the Result

The fraction 30/6 can be simplified. Both the numerator and denominator are divisible by 6:

30/6 = **5**

### Conclusion

Therefore, 1 1/2 x 3 1/3 is equal to **5**.