5/6-7/12+9/20-11/30+13/42-15/56+17/72-19/90=

5\/6-7\/12+9\/20-11\/30+13\/42-15\/56+17\/72-19\/90=
5\/6-7\/12+9\/20-11\/30+13\/42-15\/56+17\/72-19\/90 =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)=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 =1\/2-1\/10 =5\/10...

计算:5\/6+7\/12+9\/20+11\/30+13\/42+15\/56+17\/72+19\/90= 请将详细的计算过...
原式=（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）我就提示到这里，剩下的可以自己解决了

观察,你能有什么发现?并用你的发现计算下面这道题,在线等,谢谢!_百度...
5\/6-7\/12+9\/20-11\/30+13\/42-15\/56+17\/72-19\/90 =(1\/2+1\/3)-(1\/3+1\/4)+(1\/4+1\/5)+...-(1\/9+1\/10)=1\/2-1\/10 =2\/5

数学题求解
5\/6 - 7\/12 + 9\/20 - 11\/30 + 13\/42 - 15\/56 + 17\/72 = (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\/2 + 1\/9 （中间的全部抵消了）= 11\/18 ...

1-5\/6+7\/12-9\/20+11\/30-13\/42+15\/56-14\/72+90\/19等于多少
题中的“14\/72”错啦，应该是“17\/72”；还有“90\/19”的分子分母写反啦，应该是“19\/90”5\/6=1\/2＋1\/3 7\/12=1\/3＋1\/4 9\/20=1\/4＋1\/5 11\/30=1\/5＋1\/6 13\/42=1\/6＋1\/7 15\/56=1\/7＋1\/8 17\/72=1\/8＋1\/9 19\/90=1\/9＋1\/10 1-5\/6＋7\/12-9\/20＋11\/30-13...

5\/6-7\/12+9\/20-11\/30+13\/42-15\/56求答
同学，为你解答：5\/6-7\/5\/6-7\/12+9\/20-11\/30+13\/42-15\/56 =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 =3\/8 如果认可和满意我的回复，请点击【采纳为满意回答】按钮~、手机提问的朋友在客户端上评价点【满意】即可。~你的采纳是我前进的动力...

1-5\/6+7\/12-9\/20+11\/30-13\/42+15\/56-17\/72+19\/90要简便.
1-5／6+7／12-9\/20+11\/30-13\/42+15\/56-17\/72+19\/90 =1\/6+7\/12-9\/20+11\/30-13\/42+15\/56-17\/72+19\/90 =3\/4-9\/20+11\/30-13\/42+15\/56-17\/72+19\/90 =6\/20+11\/30-13\/42+15\/56-17\/72+19\/90 =20\/30-13\/42+15\/56-17\/72+19\/90 =15\/42+15\/56-17\/72+19\/...

5\/6-7\/12+9\/20-11\/30+13\/42-15\/56
5\/6-7\/12+9\/20-11\/30+13\/42-15\/56怎么解？ 5\/6 =(2+3)\/2x3=1\/3+1\/2 同理 7\/12＝1\/3+1\/4... 所以原式＝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 ＝3\/8 5\/6-7\/12+9\/20-11\/30+13\/42-15\/56+1\/72 您好：...

5\/6减7\/12加9\/20减11\/30加13\/42减15\/56加17\/72等于多少?
三十六分之十九

5\/6-12\/7+9\/20-11\/30+13\/42-15\/56+17\/72-19\/90
5\/4-9\/20+11\/30-13\/42+15\/56-17\/72+19\/90 =5\/4-(4+5)\/4*5+(5+6)\/5*6-(6+7)\/6*7+(7+8)\/7*8-(8+9)\/8*9+(9+10)\/9*10 =5\/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 =1+1\/10 =11\/10....