2分之1+6分之1+12分之1+20分之1+30分之1=1/1*2+1/2*3+1/3*4+1/4*5+1/5*6=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6=1-1/6=5/6
1/2+1/6+1/12+1/20+1/30=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)=1-1/6=5/6