(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10×(11/1+13/1+17/1)=?(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10)×(11/1+13/1+17/1)=?

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(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10×(11/1+13/1+17/1)=?(1+11/1+13/1+17/1

(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10×(11/1+13/1+17/1)=?(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10)×(11/1+13/1+17/1)=?
(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10×(11/1+13/1+17/1)=?
(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10)×(11/1+13/1+17/1)=?

(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10×(11/1+13/1+17/1)=?(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10)×(11/1+13/1+17/1)=?
是不是写反啦.十一分之一是1/11吧.我把它倒过来写了啊.
设a=(1/11+1/13+1/17)
则原式=(1+a)(a+1/19)-(1+a+10/19)a
=(a^2+20a/19+1/19)-(a+a^2+10a/19)
=(20a+1-19a-10a)/19
=-(9a+1)/19
再带入a=(1/11+1/13+1/17)
= -(9/11=9/13+9/17+1)/19
约=216.05
题目是不是错了?不是10/19吧,是1/19才对啊.
若是1/19,那麼
设a=(1/11+1/13+1/17)
则原式=(1+a)(a+1/19)-(1+a+1/19)a
=(a^2+20a/19+1/19)-(a^2+20a/19)
=1/19
我觉得应该是题目错了.正确的应该是第二个解法

111111111111111111111111111111

720.1
我用计算器算的,,, 百分之99对!!
希望采纳

-1吧?

楼主,少一个括号啊!
题目是不是错了?

简便计算:(1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17) 简便计算:(1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17) (1+1/11+1/13+1/17)乘以(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)乘以(1/11+1/13+1/17) (1+1/11+1/13+1/17)×(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)×(1/11+1/13+1/17) (1+1/11+1/13+1/17)×(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)×(1/11+1/13+1/17)等于多少? 急求高人解答 数学题!(1+1/11+1/13+1/17)x(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)x(1/11+1/13+1/17)=? (1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10×(11/1+13/1+17/1)=?(1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)-(1+11/1+13/1+17/1+19/10)×(11/1+13/1+17/1)=? (1+1/11+1/13+1/17)×(1/11+1/13+1/17+1/19)-(1+1/11+1/131/17+1/19)×(1/11+1/13+1/17)递等式运算 (1+11/1+13/1+17/1)×(11/1+13/1+17/1+19/1)×(11/1+13/1+17/1)等于多少 (1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)*(1/11+1/13+1/17)用分配率做用分配率 (1+1/11+1/13+1/17)x(1/11+1/13+1/17+1/19)-((1+1/11+1/13+1/17+1/19)x(1/11+1/13+1/17) 34×(1/17+1/13)×13 1计算(1+1/11+1/13+1/17)(1/11+1/13+1/17+1/19)-(1+1/11+1/13+1/17+1/19)(1/11+1/13+1/17)2计算(1/2+1/3+.+1/2005)(1+1/2+1/3+.+1/2004)-(1+1/2+...+1/2005)(1/2+1/3+...+1/2004 (1+1/11+1/13+1/17)*(1/11+1/13+1/17+1/19)-(1+1/11+1/17+1/19)*(1/11+1/13+1/17)求过程 14,13,11,7,1,17,49 , 简算:1/11×13 +1/13×15 +1/15×17 +1/17×19 有理数得乘法(1+1分之11 +1分之13+1分之17)乘(11分之1+13分之1+17分之1+19分之1)-(1+11分之1+13分之1+17分之1+19分之1)乘(11分之1+13分之1+19分之1)= 简算1*3/1+3*5/1+5*7/1+7*9/1+9*11/1+11*13/1+13*15/1+15*17/1+17*19/1