MathDB
2016 Discrete #8

Source:

August 10, 2022
2016Discrete Math Test

Problem Statement

Consider all fractions ab\tfrac{a}{b} where 1b1001\leq b\leq100 and 0ab0\leq a\leq b. Of these fractions, let mn\tfrac{m}{n} be the smallest fraction such that mn>27\tfrac{m}{n}>\tfrac{2}{7}. What is mn\tfrac{m}{n}?