求"4-2分之1-6分之5-12分之11-20分之19"的简便运算

答案:4 悬赏:50 手机版

解决时间 2021-01-25 09:45

提问者网友：焚苦与心
2021-01-25 00:27

最佳答案

五星知识达人网友：西风乍起
2019-05-06 15:43

4-2分之1-6分之5-12分之11-20分之19"的简便运算
解，得：
4-(1/2)-(5/6)-(11/12)-(19/20)
==4-[1-(1/2)]-[1-(1/6)]-[1-(1/12)]-[1-(1/20)]
==4-1-1-1-1+(1/2)+(1/6)+(1/12)+(1/20)
==1/2+1/6+1/12+1/20
==1-1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)
===1-1/2+1/2-1/3+1/3-1/4+1/4-1/5
==1-1/5
==4/5

全部回答

1楼网友：我住北渡口
2019-04-10 00:47

4-1/2-5/6-11/12-19/20 =4-(1-1/2)-(1-1/6)-(1-1/12)-(1-1/20) =4-1+1/2-1+1/6-1+1/12-1+1/20 =1/2+1/6+1/12+1/20 =1-1/2+1/2-1/3+1/3-1/4+1/4-1/5 =1-1/5 =4/5

2楼网友：一叶十三刺
2019-10-01 15:17

4-1/2-5/6-11/12-19/20=(1-1/2)+(1-5/6)+(1-11/12)+(1-19/20) =1/2-1/6-1/12-1/20 =1/2-(1/2-1/3)-(1/3-1/4)-(1/4-1/5) =1/2-1/2+1/3-1/3+1/4-1/4+1/5 =1/5

3楼网友：醉吻情书
2020-08-10 07:50

(1/2) + (5/6) + (11/12) + (19/20) + (29/30) = (1 - 1/2) + (1 - 1/6) + (1 - 11/12) + (1 - 1/20) + (1 - 1/30) = 5 - (1/2 + 1/6 + 1/12 + 1/20 + 1/30) = 5 - [(1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6)] = 5 - [1 - 1/6] = 5 - 1 + 1/6 = 4 + 1/6 = 25/6

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