11/12+19/20+29/30+41/42的简便算法
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/18 02:04:52
![11/12+19/20+29/30+41/42的简便算法](/uploads/image/z/214583-23-3.jpg?t=11%2F12%2B19%2F20%2B29%2F30%2B41%2F42%E7%9A%84%E7%AE%80%E4%BE%BF%E7%AE%97%E6%B3%95)
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11/12+19/20+29/30+41/42的简便算法
11/12+19/20+29/30+41/42的简便算法
11/12+19/20+29/30+41/42的简便算法
原式
=(1-1/12)+(1-1/20)+(1-1/30)+(1-1/42)
=(1-1/3+1/4)+(1-1/4+1/5)+(1-1/5+1/6)+(1-1/6+1/7)
=4-1/3+1/7
=4-4/21
=80/21