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? / small / frac{1}{70}

Answer: 2/35

Step-by-step explanation: First you have to find the minimun common multiplier (MCM). 5 and 7 are prime numbers (only divisible by one and themselves), so they MCM is the product of both, resulting in 5 times 7 equals 35. Now you find the equavilent equation to 1/7 and 1/5 to make them in 5/35 and 7/35, respectively. Finally the clear difference is 2/35. (7/35 - 5/35)