What is one half of two thirds?

To find one half of two thirds, you can multiply the two fractions together. Start by expressing one half as a fraction, which is 1/2, and two thirds as 2/3. So, we will multiply 1/2 by 2/3.

Here’s how the multiplication works:

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

Now, we can simplify the fraction 2/6. Both the numerator and the denominator can be divided by 2:

2 ÷ 2 = 1
6 ÷ 2 = 3

Thus, 2/6 simplifies to 1/3.

In conclusion, one half of two thirds is 1/3.