\(\frac{6}{3.5}+\frac{6}{5.7}+\frac{6}{7.9}+...+\frac{6}{19.21}\)
\(=3\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\right)\)
\(=3\left(\frac{1}{3}-\frac{1}{21}\right)\)
\(=3.\frac{2}{7}\)
\(=\frac{6}{7}\)