(1-1/4)×(1-1/9)×(1-1/16)×(1-1/25)×(1-1/36)×(1-1/49)怎么简便计算
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/25 06:32:40
(1-1/4)×(1-1/9)×(1-1/16)×(1-1/25)×(1-1/36)×(1-1/49)怎么简便计算
![(1-1/4)×(1-1/9)×(1-1/16)×(1-1/25)×(1-1/36)×(1-1/49)怎么简便计算](/uploads/image/z/3166657-25-7.jpg?t=%281-1%2F4%29%C3%97%281-1%2F9%29%C3%97%281-1%2F16%29%C3%97%281-1%2F25%29%C3%97%281-1%2F36%29%C3%97%281-1%2F49%29%E6%80%8E%E4%B9%88%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97)
(1-1/4)×(1-1/9)×(1-1/16)×(1-1/25)×(1-1/36)×(1-1/49)
=1×3/2²×2×4/3²×3×5/4²×4×6/5²×5×7/6²×6×8/7²
=1/2×8/7
=4/7
=1×3/2²×2×4/3²×3×5/4²×4×6/5²×5×7/6²×6×8/7²
=1/2×8/7
=4/7