Alex ate 2/3 of 1/2 of a pie, how much pie did he eat?

(2/3) * (1/2) = 2/6 = 1/3

To find out how much pie Alex ate, we need to multiply the fractions 2/3 and 1/2 together.

Here's how to do it step by step:

Step 1: Multiply the numerators (top numbers) together: 2 * 1 = 2.
Step 2: Multiply the denominators (bottom numbers) together: 3 * 2 = 6.

Now we have 2/6 as a fraction. However, to simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2.

Step 3: Divide the numerator and denominator by 2: 2 ÷ 2 = 1 and 6 ÷ 2 = 3.

So, the fraction 2/6 simplifies to 1/3.

Therefore, Alex ate 1/3 of the pie.