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$\dfrac{75-\dfrac{6}{13}+\dfrac{3}{17}-\dfrac{3}{19}}{275-\dfrac{22}{13}+\dfrac{11}{17}-\dfrac{11}{19}}$

`=` $\dfrac{25. 3-\dfrac{2}{13}. 3+\dfrac{1}{17}. 3-\dfrac{1}{19}. 3}{25. 11-\dfrac{2}{13}. 11+\dfrac{1}{17}.11-\dfrac{1}{19}.11}$

`=` $\dfrac{3(25-\dfrac{2}{13}+\dfrac{1}{17}-\dfrac{1}{19})}{11(25-\dfrac{2}{13}+\dfrac{1}{17}-\dfrac{1}{19})}$

`= 3/11`