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

Multiplying mixed numbers can seem intimidating, but it's actually quite straightforward once you break it down. Let's explore how to multiply **1 1/2** and **3 2/3**.

### Step 1: Convert to Improper Fractions

The first step is to convert both mixed numbers into improper fractions.

**1 1/2**becomes**3/2**(Multiply the whole number by the denominator and add the numerator, keeping the same denominator: (1 * 2 + 1)/2 = 3/2)**3 2/3**becomes**11/3**(Same process: (3 * 3 + 2)/3 = 11/3)

### Step 2: Multiply the Fractions

Now that we have improper fractions, we simply multiply the numerators and the denominators.

**(3/2) * (11/3) = (3 * 11) / (2 * 3)**

### Step 3: Simplify

Finally, we simplify the resulting fraction.

**33/6**can be simplified to**11/2**.

### Step 4: Convert Back to a Mixed Number (Optional)

You can leave the answer as an improper fraction (11/2), or you can convert it back to a mixed number:

**11/2**is equivalent to**5 1/2**(11 divided by 2 is 5 with a remainder of 1).

### Conclusion

Therefore, **1 1/2 x 3 2/3 = 11/2** or **5 1/2**.

By breaking down the process into simple steps, multiplying mixed numbers becomes much more manageable.