1又1/2-5/6+7/12-9/20+11/30-13/42+15/56 怎么简便运算
问题描述:
1又1/2-5/6+7/12-9/20+11/30-13/42+15/56 怎么简便运算
答
1又1/2-5/6+7/12-9/20+11/30-13/42+15/56 =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