计算:(1/50-1)×(1/49-1)×(1/48-1)×…×(1/4-1)×(1/3-1)

问题描述:

计算:(1/50-1)×(1/49-1)×(1/48-1)×…×(1/4-1)×(1/3-1)
为什么有49个负分数相乘

(1/50-1)*(1/49-1)*(1/48-1)*...*(1/4-1)*(1/3-1)
=(-49/50)*(-48/49)*(-47/48)*……*(-2/3)
共有48个负因数,所以结果是正数,前一个分数的分子可以与后一个分数的分母约去
=2/50
=1/25