The correct answer is: $\frac{4}{9}$
Explanation
Multiply the numerators and multiply the denominators. Then simplify if possible.
Steps:
- Multiply numerators: $$2 \times 2 = 4$$
- Multiply denominators: $$3 \times 3 = 9$$
- Combine into a fraction and simplify if needed: $$\frac{2}{3}\times\frac{2}{3}=\frac{4}{9}$$
Therefore, $ \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} $. (This fraction is already in simplest form because $\gcd(4,9)=1$.)