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5/6+11/12+23/24+47/48/+95/96+191/192等于多少 要简便过程 急!

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5/6+11/12+23/24+47/48/+95/96+191/192等于多少 要简便过程 急!
5/6+11/12+23/24+47/48/+95/96+191/192
=(1-1/6)+(1-1/12)+(1-1/24)+(1-1/48)+(1-1/96)+(1-1/192)
=6X1-(1/6+1/12+1/24+1/48+1/96+1/192)
=6-(2/12+1/12+1/24+1/48+1/96+1/192)
=6-(3/12+1/24+1/48+1/96+1/192)
=6-(6/24+1/24+1/48+1/96+1/192)
=6-(7/24+1/48+1/96+1/192)
=6-(14/48+1/48+1/96+1/192)
=6-(15/48+1/96+1/192)
=6-(30/96+1/96+1/192)
=6-(31/96+1/192)
=6-(62/192+1/192)
=6-63/192
=6-21/64
=5又43/64 (=5.671875)
=6X1-(1/6+1/12+1/24+1/48+1/96+1/192)可以将括号内的通分