\(A=\frac{11\times13\times15+3\times\left(11\times13\times15\right)+5\times\left(11\times13\times15\right)+9\times\left(11\times13\times15\right)}{13\times15\times17+3\times\left(13\times15\times17\right)+5\times\left(13\times15\times17\right)+9\times\left(13\times15\times17\right)}\)
\(A=\frac{\left(11\times13\times15\right)\times\left(1+3+5+9\right)}{\left(13\times15\times17\right)\times\left(1+3+5+9\right)}\)
\(A=\frac{11}{17}>\frac{1111}{1718}\)
\(A=\frac{11\cdot13\cdot15+33\cdot39\cdot45+55\cdot65\cdot75+99\cdot117\cdot135}{13\cdot15\cdot17+39\cdot45\cdot51+65\cdot75\cdot85+117\cdot135\cdot153}\)
\(A=\frac{11\cdot13\cdot15\cdot\left(1+3+5+9\right)}{13\cdot15\cdot17\cdot\left(1+3+5+9\right)}\)
\(A=\frac{11\cdot13\cdot15}{13\cdot15\cdot17}\)
\(A=\frac{11}{17}>\frac{1111}{1718}=B.\)