2分之1+6分之1+12分之1+20分之1+30分之1=怎么简便运算

分类: 作业答案 • 2021-12-19 11:39:11

问题描述：

答

1/2+1/6+1/12+1/20+1/30
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6

答

1/2+1/6+1/12+1/20+1/30=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6=1-1/6=5/6

答

2分之1+6分之1+12分之1+20分之1+30分之1
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6