1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72 怎么做 要有过程
问题描述：
1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72 怎么做 要有过程
答
=1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72=8-1/(1x2)-1/(2x3)-1/(3x4)-1/(4x5)-1/(5x6)-1/(6x7)-1/(7x8)-1/(8x9)=8-[1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)]=8-[1-1/2+1/...