已知:1/2+1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,1/20=1/4-1/5.求1/2+1/6+1/12+1/20的结果.

问题描述:

已知:1/2+1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,1/20=1/4-1/5.求1/2+1/6+1/12+1/20的结果.
1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,1/20=1/4-1/5

1/2=1-1/2,
1/6=1/2-1/3,
1/12=1/3-1/4,
1/20=1/4-1/5.
1/2+1/6+1/12+1/20
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5.
=1-1/5
=4/5
如果你认可我的回答,请点击左下角的“采纳为满意答案”,祝学习进步!