The difference of the reciprocals of two consecutive positive integers could be?

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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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