19/20 × 199 × 19/20 怎么简便计算

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19/20 × 199 × 19/20 怎么简便计算

19/20 × 199 × 19/20 怎么简便计算
19/20 × 199 × 19/20 怎么简便计算

19/20 × 199 × 19/20 怎么简便计算
19/20x199x19/20
=19x19/20x20x199
=381/400x200-381/400
=762-381/400
=761又(19/400)

=19/20×(200-1)×19/20
=(19/20×200-19/20)×19/20
=(190-19/20)×19/20
=361/2-361/400
=71839/400

19/20 × 199 × 19/20
=(19/20)^2*(200-1)
=361/400*200-361/400
=361/2-361/400
=(78200-361)/400
=77839/400