(2/3÷4/9) 2

To solve the expression \((\frac{2}{3} \div \frac{4}{9}) \cdot 2\), follow these steps: 1. First, simplify \(\frac{2}{3} \div \frac{4}{9}\): \[ \frac{2}{3} \div \frac{4}{9} = \frac{2}{3} \cdot \frac{9}{4} \] 2. Multiply the fractions: \[ \frac{2 \cdot 9}{3 \cdot 4} = \frac{18}{12} \] 3. Simplify \(\frac{18}{12}\): \[ \frac{18}{12} = \frac{3}{2} \] 4. Now, multiply by 2: \[ \frac{3}{2} \cdot 2 = \frac{3 \cdot 2}{2} = 3 \] Thus, the final answer is: \[ \boxed{3} \]