\(A=\dfrac{2^{10}\cdot3^8}{2^{10}\cdot3^8\cdot2^8\cdot3^8\cdot2^2\cdot5}+\dfrac{2^{12}\cdot3^{10}+2^3\cdot3\cdot5\cdot2^9\cdot3^9}{2^{16}\cdot3^{12}+2^{18}\cdot3^{18}}\\ A=\dfrac{1}{2^{10}\cdot3^8\cdot5}+\dfrac{2^{12}\cdot3^{10}\left(1+5\right)}{2^{16}\cdot3^{12}\left(1+2^2\cdot3^6\right)}\\ A=\dfrac{1}{2^{10}\cdot3^8\cdot5}+\dfrac{6}{2^4\cdot3^2\cdot2917}=\dfrac{1}{2^{10}\cdot3^8\cdot5}+\dfrac{1}{2^3\cdot3\cdot2917}\)