\(\frac{\frac{3}{7}-\frac{3}{11}+\frac{3}{13}}{\frac{5}{7}-\frac{5}{11}+\frac{5}{13}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{4}-\frac{5}{6}+\frac{5}{8}}\)
\(=\frac{3\times\frac{1}{7}-3\times\frac{1}{11}+3\times\frac{1}{13}}{5\times\frac{1}{7}-5\times\frac{1}{11}+5\times\frac{1}{13}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{2}\times\frac{1}{2}-\frac{5}{2}\times\frac{1}{3}+\frac{5}{2}\times\frac{1}{4}}\)
\(=\frac{3\times\left(\frac{1}{7}-\frac{1}{11}+\frac{1}{13}\right)}{5\times\left(\frac{1}{7}-\frac{1}{11}+\frac{1}{13}\right)}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{2}\times\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}\right)}\)
\(=\frac{3}{5}+\frac{1}{\frac{5}{2}}\)
\(=\frac{3}{5}+1\div\frac{5}{2}\)
\(=\frac{3}{5}+1\times\frac{2}{5}\)
\(=\frac{3}{5}+\frac{2}{5}\)
\(=\frac{5}{5}\)
\(=1\)
