1又2/1-6/5+12/7-20/9+30/11-42/13+56/15简算

问题描述:

1又2/1-6/5+12/7-20/9+30/11-42/13+56/15简算

1又2/1-6/5+12/7-20/9+30/11-42/13+56/15=(1+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+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+1/8=1又1/8