(1+1\/2+1\/3+1\/4)*(1\/2+1\/3+1\/4)-(1\/2+1\/3+1\/4+1\/5)*(1\/2+1\/3+1\/4...
(1+1\/2+1\/3+1\/4)×(1\/2+1\/3+1\/4)-(1\/2+1\/3+1\/4+1\/5)×(1\/2+1\/3+1\/4)=(1\/2+1\/3+1\/4)×(1+1\/2+1\/3+1\/4 -1\/2-1\/3-1\/4-1\/5)=(1\/2+1\/3+1\/4)×(1-1\/5)=13\/12 × 4\/5 =13\/15 亲,如有帮助,请采纳!!!~\\(≧▽≦)\/~您的采纳是我...
1\/2+1\/3+1\/4用分数等于多少
2、3、4的最小公倍数是:12 1\/2+1\/3+1\/4 =(1×6)\/(2×6)+(1×4)\/(3×4)+(1×3)\/(4×3)=6\/12+4\/12+3\/12 =13\/12 化成带分数是:1又1\/12
(1+1\/2+1\/3+1\/4)×(1\/2+1\/3+1\/4)-(1+1\/2+1\/3+1\/4+1\/5)×(1\/2+1\/3+...
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简便计算(1+1\/2+1\/3+1\/4)*(1\/2+1\/3+1\/4+1\/6)-(1+1\/2+1\/3+
=(1+1\/2+1\/3+1\/4)x(1\/2+1\/3+1\/4)+(1+1\/2+1\/3+1\/4)x1\/6—(1+1\/2+1\/3+1\/4)x(1\/2+1\/3+1\/4) -1\/5x(1\/2+1\/3+1\/4)=(1+1\/2+1\/3+1\/4)x1\/6 -1\/5x(1\/2+1\/3+1\/4)=1\/6+(1\/2+1\/3+1\/4)x1\/6 -1\/5x(1\/2+1\/3+1\/4)=1\/6...
1\/2+1\/3+1\/4+1\/5+1\/6+1\/7+1\/8+1\/9+1\/10+...1\/100这道题怎样简算
他的方法很简单: 1 +1\/2+1\/3 +1\/4 + 1\/5+ 1\/6+1\/7+1\/8 +... 1\/2+1\/2+(1\/4+1\/4)+(1\/8+1\/8+1\/8+1\/8)+... 注意后一个级数每一项对应的分数都小于调和级数中每一项,而且后面级数的括号中的数值和都为1\/2,这样的1\/2有无穷多个,所以后一个级数是趋向无穷大的,...
...\/2+1\/3+1\/4+1\/5)—(1+1\/2+1\/3+1\/4+1\/5)X(1\/2+1\/3+1\/4)=
(1+1\/2+1\/3+1\/4)X(1\/2+1\/3+1\/4+1\/5)—(1+1\/2+1\/3+1\/4+1\/5)X(1\/2+1\/3+1\/4) (加1减1)=(1+1\/2+1\/3+1\/4)X(1-1+1\/2+1\/3+1\/4+1\/5)—(1+1\/2+1\/3+1\/4+1\/5)X(1\/2+1\/3+1\/4)=(1+1\/2+1\/3+1\/4)*(1+1\/2+1\/3+1\/4+1\/...
(1+1\/2+1\/3+1\/4)*(1\/2+1\/3+1\/4+1\/5)
1+1\/2+1\/3+1\/4= (12+6+4+3) \/12=25\/12 1\/2+1\/3+1\/4+1\/5= (30+20+15+12)\/60=77\/60 (1+1\/2+1\/3+1\/4)*(1\/2+1\/3+1\/4+1\/5)= (25\/12) * 77\/60=385\/144
(1+1\/2+1\/3+1\/4)*(1\/2+1\/3+1\/4+1\/6)—(1+1\/2+1\/3+1\/4+
设 (1+1\/2+1\/3+1\/4)=a (1\/2+1\/3+1\/4)=b 则a-b=1 把a,b代入上面式子得 a(b+1\/5)-(a+1\/5)b =ab+1\/5a-ab-1\/5b =1\/5(a-b)=1\/5
...1\/2+1\/3+1\/4+1\/5)—(1+1\/2+1\/3+1\/4+1\/5)*(1\/2+1\/3+1\/4)
先把1单独提出化为[(1\/2+1\/3+1\/4)*(1\/2+1\/3+1\/4+1\/5)+(1\/2+1\/3+1\/4+1\/5)]-[(1\/2+1\/3+1\/4)+(1\/2+1\/3+1\/4+1\/5)*(1\/2+1\/3+1\/4)]将相同项消除得(1\/2+1\/3+1\/4+1\/5)-(1\/2+1\/3+1\/4)从而得出结果 1\/5 ...
1\/2+1\/3+1\/4+1\/5+1\/6+1\/7+……1\/99有简便方法吗
正整数倒数称为调和数列,迄今为止,数学家们尚未找到求和公式。因此,通常是编程来求解,或者用网络计算器。计算结果和fortran代码如下: