On the number line above, the segment from \(0\) to \(1\) has been divided into fifths, as indicated by the large tick

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On the number line above, the segment from \(0\) to \(1\) has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks?

A. \(\dfrac1{70}\)

B. \(\dfrac1{35}\)

C. \(\dfrac2{35}\)

D. \(\dfrac1{12}\)

E. \(\dfrac17\)

Answer: B

Source: GMAT Prep