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

Multiplying mixed numbers can seem intimidating, but with a few simple steps, it becomes much easier. Here's how to multiply **1 1/2 x 3 2/3**:

### 1. Convert Mixed Numbers to Improper Fractions:

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1). Keep the same denominator (2). This gives you (1 * 2 + 1) / 2 =**3/2**.**3 2/3:**Multiply the whole number (3) by the denominator (3) and add the numerator (2). Keep the same denominator (3). This gives you (3 * 3 + 2) / 3 =**11/3**.

Now we have the problem: **3/2 x 11/3**.

### 2. Multiply the Numerators and the Denominators:

- Multiply the numerators: 3 x 11 = 33
- Multiply the denominators: 2 x 3 = 6

This gives us the fraction **33/6**.

### 3. Simplify the Result (if possible):

- Find the greatest common factor (GCD) of 33 and 6, which is 3.
- Divide both the numerator and denominator by 3: 33/3 = 11 and 6/3 = 2.

Therefore, **1 1/2 x 3 2/3 = 11/2**.

### Important Notes:

- You can simplify the fractions before multiplying, but it's not necessary.
- Remember that multiplying fractions is simply multiplying the numerators and the denominators.
- Always simplify the resulting fraction to its simplest form.