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On the number line, the segment from 0 to 1 has been divided [#permalink]
01 Apr 2008, 19:47

On the number line, the segment from 0 to 1 has been divided into fifths and also into sevenths. What is the LEAST possiple distance between any two of the tick marks?

A. 1/70 B. 1/35 C. 2/35 D. 1/12 E. 1/7

Do you mind giving me a fast way of solving it? Thanks! _________________

It seems that the answer maybe generalized as \frac{1}{LCM(x,y)} But honestly, I so tired after lulling my son at 3 am and my following 4th GMATPrep1 attempt that I am very lazy to prove (or disprove) this generalization...but maybe does somebody try? _________________

I still have to reach the stage of generalization, you have a great method Mr Walker but my traditional method proves 1/35 answer B. It took a lot of time though.