1/3*1/5+1/5*1/7*+1/7*1/9+⋯+1/97*1/99=1/2*[(1/3-1/5)+(1/5-1/7)+...+(1/97-1/99)]=1/2*(1/3-1/99)=1/2*32/99=16/99
1/3*1/5+1/5*1/7*+1/7*1/9+⋯+1/97*1/99=1/2(1/3-1/5+1/5-1/7+1/7-1/9+....+1/97-1/99)=1/2(1/3-1/99+1/3x98/99=98/297