[tex]\displaystyle 2\frac{1}{13}(5-11\frac{2}{13})+11\frac{2}{13}(2\frac{1}{13}-5)=\frac{27}{13}(5-\frac{145}{13})+\frac{145}{13}(\frac{27}{13}-5)=\\\\\frac{27}{13}(-\frac{80}{13})+\frac{145}{13}(-\frac{38}{13})=-\frac{2160}{169}-\frac{5510}{169}=-\frac{590}{13}=-45\frac{5}{13}[/tex]
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[tex]\displaystyle 2\frac{1}{13}(5-11\frac{2}{13})+11\frac{2}{13}(2\frac{1}{13}-5)=\frac{27}{13}(5-\frac{145}{13})+\frac{145}{13}(\frac{27}{13}-5)=\\\\\frac{27}{13}(-\frac{80}{13})+\frac{145}{13}(-\frac{38}{13})=-\frac{2160}{169}-\frac{5510}{169}=-\frac{590}{13}=-45\frac{5}{13}[/tex]