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\(A=\dfrac{\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{9}}{\dfrac{4}{3}+\dfrac{4}{5}-\dfrac{4}{9}}\\ =\left(\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{9}\right):\left(\dfrac{4}{3}+\dfrac{4}{5}-\dfrac{4}{9}\right)\\ =\left[2\left(\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{9}\right)\right]:\left[4\left(\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{9}\right)\right]\\ =2\left(\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{9}\right):4\left(\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{9}\right)\\ =\dfrac{2}{4}\\ =\dfrac{1}{2}\)
\(A=\dfrac{\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{9}}{\dfrac{4}{3}+\dfrac{4}{5}-\dfrac{4}{9}}\\ A=\left(\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{9}\right):\left(\dfrac{4}{3}+\dfrac{4}{5}-\dfrac{4}{9}\right)\\ A=\left(\dfrac{30}{45}+\dfrac{18}{45}-\dfrac{10}{45}\right):\left(\dfrac{60}{45}+\dfrac{36}{45}-\dfrac{20}{45}\right)\\ A=\dfrac{38}{45}:\dfrac{76}{45}\\ A=\dfrac{38}{76}\)
