计算:(1/100-1)×(1/101-1)×(1/102-1)×.×(1/2013-1)

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计算:(1/100-1)×(1/101-1)×(1/102-1)×.×(1/2013-1)计算:(1/100-1)×(1/101-1)×(1/102-1)×.×(1/2013-1)计算:(1/100-

计算:(1/100-1)×(1/101-1)×(1/102-1)×.×(1/2013-1)
计算:(1/100-1)×(1/101-1)×(1/102-1)×.×(1/2013-1)

计算:(1/100-1)×(1/101-1)×(1/102-1)×.×(1/2013-1)
原式=(-99/100)×(-100/101)×(-101/102)×……×(-2012/2013) 共有1914个负分数相乘,积为正
= 99/100×100/101×101/102×……×2012/2013 前面分数的分母与后面分数的分子约分
=99/2013
=3/61