计算:2/1*3+2/3*5+2/5*7+2/99*101

问题描述:

计算:2/1*3+2/3*5+2/5*7+2/99*101

2/1*3+2/3*5+2/5*7+2/99*101
=(1-1/3)+(1/3-1/5)+(1/5-1/7)+..+(1/99-1/101)
=1-1/101
=100/101