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1/3-1/15-1/35-1/63-1/99 等于多少?

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1/3-1/15-1/35-1/63-1/99 等于多少?
1/3-1/15-1/35-1/63-1/99 等于多少?
1/3-1/15-1/35-1/63-1/99
=1/(1*3)-1/(3*5)-1/(5*7)-1/(7*9)-1/(9*11)
=1/2(1-1/3)-1/2(1/3-1/5)-1/2(1/5-1/7)-1/2(1/7-1/9)-1/2(1/9-1/11)
=1/2(1-1/3-1/3+1/5-1/5+1/7-1/7+1/9-1/9+1/11)
=1/2(1-1/3-1/3+1/11)
=1/2(1/3+1/11)
=1/2*14/33
=7/33