## Finding the Simplest Form of 1 1/3 times 2/3

Let's learn how to multiply mixed numbers and simplify the answer.

**Understanding the Problem**

We're asked to find the product of 1 1/3 and 2/3. This means we need to multiply these two numbers together.

**Step 1: Convert the Mixed Number to a Fraction**

First, we need to convert the mixed number 1 1/3 into an improper fraction. To do this, we multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. We keep the same denominator (3).

Therefore, 1 1/3 is equivalent to 4/3.

**Step 2: Multiply the Fractions**

Now we can multiply the two fractions:

(4/3) * (2/3) = (4 * 2) / (3 * 3) = 8/9

**Step 3: Simplify the Result**

The fraction 8/9 is already in its simplest form because 8 and 9 share no common factors other than 1.

**Answer:**

1 1/3 times 2/3 is **8/9**.