\(\frac{5}{3.9}+\frac{5}{9.15}+.........+\frac{5}{63.69}\)
\(=\frac{5}{6}.\left(\frac{6}{3.9}+\frac{6}{9.15}+..........+\frac{6}{63.69}\right)\)
\(=\frac{5}{6}.\left(\frac{1}{3}-\frac{1}{9}+\frac{1}{9}-\frac{1}{15}+......+\frac{1}{63}-\frac{1}{69}\right)\)
\(=\frac{5}{6}.\left(\frac{1}{3}-\frac{1}{69}\right)=\frac{5}{6}.\frac{22}{69}=\frac{55}{207}\)