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The difference of the reciprocals of two consecutive positive integers could be?
The difference of the reciprocals of two consecutive positive integers could be?
游客
2025-02-27
10
管理
问题
The difference of the reciprocals of two consecutive positive integers could be?
选项
A、7/30
B、1/26
C、3/20
D、11/60
E、1/72
答案
E
解析
由于是连续正整数的倒数相减,因此通分后分子必然为1,所以答案只可能在B和E中选择,26=2×13,不可能表达为两个连续整数的乘积,而72=8×9,因此选择E。
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