2012 minus 1 / 2, then minus the remaining 1 / 3, then minus the remaining 1 / 4, and so on, until finally minus the remaining 1 / 2012, find the final number

2012×（1-1/2）×（1-1/3）×（1-1/4）×…… ×（1-1/2012）
=2012×1/2×2/3×3/4×…… ×2011/2012
=2012×1/2012
=1

RELATED INFORMATIONS

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