Detailed Instructions: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
Q: Problem: 0 - - -: - | - - -: - - | -: - -: - | - -: - - - | -: - - - - 1 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 x between any two of the tick marks ?
Options: a. 1 / 70, b. 1 / 35, c. 2 / 35, d. 1 / 12, e. 1 / 7
A:
b