具体过程如下：
原式=1/（1*2）+1/（2*3）+1/（3*4）+1/（4*5）+1/（5*6）+1/（6*7）+1/（7*8）
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6+1/7-1/8
=1-1/8
=7/8
希望你看明白。
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56 简算
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/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\/8 =7\/8
1\/2+1\/6+1\/12+1\/20+…+1\/56简便计算
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/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\/8 =7\/8
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56=?简算,快
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/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\/8 =7\/8 如果对你有帮助，请采纳。谢谢。这可是最先回答的哟。祝进步！！！
简算题1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56?
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56 =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 =1\/2-1\/8 =4\/8-1\/8 =3\/8,2,
怎样简算“1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56”
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56=?这样的题目一定是做分母的文章 看1\/2=1\/(1*2)=1-1\/2 1\/6=1\/(2*3)=1\/2-1\/3 1\/12=1\/(3*4)=1\/3-1\/4 1\/20=1\/(4*5)=1\/4-1\/5 1\/30=1\/(5*6)=1\/5-1\/6 1\/42=1\/(6*7)=1\/6-1\/7 1\/56=1\/(7*8)=1\/7-1...
谁知道这题的简算啊?急
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56=1\/(1*2)+1\/(2*3)+1\/(3*4)+1\/(4*5)+1\/(5*6)+1\/(6*7)+1\/(7*8)有公式为1\/（n+n+1)=(1\/n)-1\/(n+1)∴1\/(1*2)+1\/(2*3)+1\/(3*4)+1\/(4*5)+1\/(5*6)+1\/(6*7)+1\/(7*8)=1\/1-1\/2+1\/2-1\/3+1\/...
...加十二分之十一加二十分之一加三十分之一加四十二分之一加五十六分...
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/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\/8 =7\/8
如何简算1\/2+1\/6+1\/12+1\/30+
如何快速计算1\/2+1\/6+1\/12+1\/30+1\/42+1\/56的和呢？这里有一个简便的方法。首先，我们可以将这些分数重新组合，利用它们之间的相互关系来进行简化。将每个分数写成两个分数的差，如下所示：1\/2 = 1 - 1\/2 1\/6 = 1\/2 - 1\/3 1\/12 = 1\/3 - 1\/4 1\/30 = 1\/5 - 1\/6 1\/42...
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56+1\/72+1\/100 怎么简算
1\/6 1\/12 1\/20 1\/30 1\/42 1\/56 1\/72 1\/90 =1\/2 (1\/2-1\/3)(1\/3-1\/4)(1\/4 1\/5)--- (1\/8-1\/9)(1\/9-1\/10)=1-1\/10 =9\/10 2)∵梯形面积=（6 9）×6÷2=45 S △AFD=S△DEC=S四边形△DFBE=15 ∴CE=5，AF=5，BF=4,BE=1 ∴S△BEF=BF*BE\/2=1 S...
1\/2+1\/6+1\/12+1\/20+1\/30+1\/42+1\/56简算,在线等
=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 =7\/8
