[tex] \frac{ {2}^{7} \times {3}^{2} \times {5}^{4} }{ {2}^{7} \times {3}^{3} \times {5}^{2} \times 11 } = \frac{ {3}^{2} \times {5}^{4} }{ {3}^{3} \times {5}^{2} \times 11 } = {3}^{2 - 3} \times {5}^{4 - 2} \times {11}^{ - 1} = {3}^{ - 1} \times {5}^{2} \times {11}^{ - 1} = \frac{1}{3} \times 25 \times \frac{1}{11} = \frac{1 \times 25 \times 1}{3 \times 11} = \frac{25}{33} [/tex]