To multiply the fractions \( \frac{2}{2} \) and \( \frac{2}{3} \), you can follow these steps:
- Multiply the numerators: \( 2 \times 2 = 4 \).
- Multiply the denominators: \( 2 \times 3 = 6 \).
So,
\[ \frac{2}{2} \times \frac{2}{3} = \frac{4}{6} \]
Next, you can simplify \( \frac{4}{6} \) by dividing the numerator and the denominator by their greatest common divisor, which is 2:
\[ \frac{4 \div 2}{6 \div 2} = \frac{2}{3} \]
Thus, \( \frac{2}{2} \times \frac{2}{3} = \frac{2}{3} \).