\(\frac{10}{17}-\frac{5}{13}+\frac{7}{17}+\frac{-8}{13}-\frac{11}{25}\)
\(=\left(\frac{10}{17}+\frac{7}{17}\right)-\left(\frac{5}{13}+\frac{8}{13}\right)-\frac{11}{25}\)
\(=1-1-\frac{11}{25}\)
\(=-\frac{11}{25}\)
\(=\left(\frac{10}{17}+\frac{7}{17}\right)-\left(\frac{5}{13}-\frac{-8}{13}\right)-\frac{11}{25}\)
\(=\frac{10+7}{17}-\frac{5-\left(-8\right)}{13}-\frac{11}{25}\)
\(=1-1-\frac{11}{25}\)
\(=0-\frac{11}{25}\)
\(=\frac{-11}{25}\)
\(\frac{10}{17}-\frac{5}{13}+\frac{7}{17}+-\frac{8}{13}-\frac{11}{25}\)
\(=\)\(\left(\frac{10}{17}+\frac{7}{17}\right)-\left(\frac{5}{13}+\frac{8}{13}\right)-\frac{11}{25}\)
\(=\)\(1-1-\frac{11}{25}\)
\(=\)\(0-\frac{11}{25}\)
\(=\)\(\frac{-11}{25}\)
