原式=1/2+(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-（1/5+1/6)+(1/6+1/7)-(1/7+1/8)=1/2+1/2+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8=7/8