1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
2个回答
展开全部
1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
=（1-1/2)+(1-1/6)+(1-1/12)+(1-1/20)+(1-1/30)+(1-1/42)+(1-1/56)+(1-1/72)+(1-1/90)
=1+1+1+1+1+1+1+1+1-1/2-1/6-1/12-1/20-1/30-1/42-1/56-1/72-1/90
=9-(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)-(1/8-1/9)-(1/9-1/10)
=9-1+1/2-1/2+1/3-1/3+1/4-1/4+1/5-1/5+1/6-1/6+1/7-1/7+1/8-1/8+1/9-1/9+1/10
=9-1+1/10
=八又十分之一
=（1-1/2)+(1-1/6)+(1-1/12)+(1-1/20)+(1-1/30)+(1-1/42)+(1-1/56)+(1-1/72)+(1-1/90)
=1+1+1+1+1+1+1+1+1-1/2-1/6-1/12-1/20-1/30-1/42-1/56-1/72-1/90
=9-(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)-(1/8-1/9)-(1/9-1/10)
=9-1+1/2-1/2+1/3-1/3+1/4-1/4+1/5-1/5+1/6-1/6+1/7-1/7+1/8-1/8+1/9-1/9+1/10
=9-1+1/10
=八又十分之一
已赞过
已踩过<
你对这个回答的评价是？
展开全部
1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
=（1-1/2)+(1-1/6)+(1-1/12)+(1-1/20)+(1-1/30)+(1-1/42)+(1-1/56)+(1-1/72)+(1-1/90)
=1+1+1+1+1+1+1+1+1-1/2-1/6-1/12-1/20-1/30-1/42-1/56-1/72-1/90
=9-(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)-(1/8-1/9)-(1/9-1/10)
=9-1+1/2-1/2+1/3-1/3+1/4-1/4+1/5-1/5+1/6-1/6+1/7-1/7+1/8-1/8+1/9-1/9+1/10
=9-1+1/10
=八又十分之一
=（1-1/2)+(1-1/6)+(1-1/12)+(1-1/20)+(1-1/30)+(1-1/42)+(1-1/56)+(1-1/72)+(1-1/90)
=1+1+1+1+1+1+1+1+1-1/2-1/6-1/12-1/20-1/30-1/42-1/56-1/72-1/90
=9-(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)-(1/8-1/9)-(1/9-1/10)
=9-1+1/2-1/2+1/3-1/3+1/4-1/4+1/5-1/5+1/6-1/6+1/7-1/7+1/8-1/8+1/9-1/9+1/10
=9-1+1/10
=八又十分之一
本回答被网友采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
