$\frac{4}{35}$ + $\frac{4}{63}$ + $\frac{4}{99}$ + $\frac{4}{143}$ + $\frac{4}{195}$
= 2($\frac{2}{5.7}$ + $\frac{2}{7.9}$ + $\frac{2}{9.11}$ + $\frac{2}{11.13}$ + $\frac{2}{13.15}$)
= 2($\frac{1}{5}$ - $\frac{1}{7}$ + $\frac{1}{7}$ - $\frac{1}{9}$ +.....+ $\frac{1}{13}$ - $\frac{1}{15}$)
= 2($\frac{1}{5}$ - $\frac{1}{15}$)
= 2 x $\frac{2}{15}$
= $\frac{4}{15}$
