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

Multiplying mixed numbers can seem daunting, but it's actually quite straightforward once you understand the steps. Let's break down how to multiply **1 1/2** by **1 2/3**.

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

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives you 3. Keep the same denominator (2). So, 1 1/2 becomes**3/2**.**1 2/3:**Multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives you 5. Keep the same denominator (3). So, 1 2/3 becomes**5/3**.

### Step 2: Multiply the Numerators and Denominators

Now, we have: **(3/2) x (5/3)**

- Multiply the numerators: 3 x 5 = 15
- Multiply the denominators: 2 x 3 = 6

This gives us **15/6**.

### Step 3: Simplify the Result

The fraction 15/6 can be simplified. Both 15 and 6 are divisible by 3.

- Divide 15 by 3 = 5
- Divide 6 by 3 = 2

Therefore, **1 1/2 x 1 2/3 = 5/2** or **2 1/2**.