Consider the set of all fractions of the form \frac{2^m}{3^n}, where m and n are integers such that 0 \le m \le n \le 3. For example, \frac{1}{9} and \frac{8}{27} would be included in this set, but not \frac{32}{81}. What is the sum of all the numbers in this set?

learnmgcat Oct 30, 2024