\(D=\dfrac{1}{10}+\dfrac{3}{70}+\dfrac{1}{42}+\dfrac{1}{66}+\dfrac{3}{286}+\dfrac{1}{130}+\dfrac{1}{170}+\dfrac{3}{646}+\dfrac{1}{266}+\dfrac{1}{322}\)
\(D=\dfrac{1}{10}+\dfrac{3}{7.10}+\dfrac{1}{6.7}+\dfrac{1}{66}+\dfrac{3}{286}+\dfrac{1}{130}+\dfrac{1}{170}+\dfrac{3}{646}+\dfrac{1}{266}+\dfrac{1}{322}\)
\(D=\dfrac{1}{10}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{66}+\dfrac{3}{286}+\dfrac{1}{130}+\dfrac{1}{170}+\dfrac{3}{646}+\dfrac{1}{266}+\dfrac{1}{322}\)
\(D=\dfrac{1}{1.6}+\dfrac{1}{6.11}+\dfrac{3}{11.26}+\dfrac{1}{26.5}+\dfrac{1}{5.34}+\dfrac{3}{19.34}+\dfrac{1}{14.19}+\dfrac{1}{14.23}\)
\(\Rightarrow5D=\dfrac{5}{1.6}+\dfrac{5}{6.11}+\dfrac{15}{11.26}+\dfrac{1}{26}+\dfrac{1}{34}+\dfrac{15}{19.34}+\dfrac{5}{14.19}+\dfrac{5}{14.23}\)
\(\Rightarrow5D=1-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{26}+\dfrac{1}{26}+\dfrac{1}{34}+\dfrac{1}{19}-\dfrac{1}{34}+\dfrac{1}{14}-\dfrac{1}{19}+\dfrac{5}{14.23}\)
\(\Rightarrow5D=1+\dfrac{1}{14}+\dfrac{5}{14.23}\)
\(\Rightarrow5D=\dfrac{15}{14}+\dfrac{5}{14.23}\)
\(\Rightarrow5D=\dfrac{25}{23}\)
\(\Rightarrow D=\dfrac{5}{23}\)