## Multiplying Mixed Numbers: Finding 1 1/2 Times 2 1/3

This article will guide you through the process of multiplying mixed numbers, focusing specifically on finding the product of **1 1/2 times 2 1/3**.

### Converting Mixed Numbers to Fractions:

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

**1 1/2**becomes**3/2**: Multiply the whole number (1) by the denominator (2), then add the numerator (1). Keep the same denominator (2).**2 1/3**becomes**7/3**: Multiply the whole number (2) by the denominator (3), then add the numerator (1). Keep the same denominator (3).

### Multiplying Fractions:

Now that we have improper fractions, we can multiply:

**(3/2) * (7/3)**

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

**(3 * 7) / (2 * 3)**

This gives us:

**21/6**

### Simplifying the Result:

Our answer, 21/6, can be simplified. Both the numerator and denominator are divisible by 3:

**21/6 = 7/2**

### Final Answer:

Therefore, 1 1/2 times 2 1/3 is **7/2**. You can also express this as a mixed number, **3 1/2**.