数学题“1/4+1/28+1/70+1/130”怎样计算?

问题描述:

数学题“1/4+1/28+1/70+1/130”怎样计算?
1个回答 分类:数学 2014-12-09

问题解答:

我来补答
原式=1/(1*4)+1/(4*7)+1/(7*10)+1/(10*13)
=(1/3)*(1-1/4)+(1/3)*(1/4-1/7)+(1/3)*(1/7-1/10)+(1/3)*(1/10-1/13)
=(1/3)*(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13)
=(1/3)*(1-1/13)
=4/13.
 
 
展开全文阅读
剩余:2000
下一页:原创8