作业帮巧算(1/(2/3)/(3/4)/(4/5)/(5/6)/./(1999/2000)/(2000/2001)/(2001/2002)
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巧算(1/(2/3)/(3/4)/(4/5)/(5/6)/./(1999/2000)/(2000/2001)/(2001/2002)
巧算(1/(2/3)/(3/4)/(4/5)/(5/6)/./(1999/2000)/(2000/2001)/(2001/2002)
巧算(1/(2/3)/(3/4)/(4/5)/(5/6)/./(1999/2000)/(2000/2001)/(2001/2002)
(1/(2/3)/(3/4)/(4/5)/(5/6)/./(1999/2000)/(2000/2001)/(2001/2002)
=1 × 3/2 × 4/3 ×5/4 × 6/5 ×...× 2001/2000 × 2002/2001
=1 × 1/2 × 2002
=1001
设原数为x
2012*2011*2010*.......*2*x=1==>x=1/(2012!)
(注:2012!就是从1乘到2012的积)
=1*3/2*4/3*5/4*……*2000/1999*2001/2000*2002/2001
=2002/2
=1001
你把它写成乘以倒数的形式，然后约分就得了。
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