六年級數學題/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+.+1/(99*100)=? 1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+……+1/(99*100)=?

六年級數學題/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+.+1/(99*100)=? 1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+……+1/(99*100)=?

原式=1-1/2+1/2-1/3+1/3-1/4.+1/99-1/100=1-1/100=99/100