> The mediant inequation is: a/b < (a+c)/(b+d) < c/d The equality is more fun & shows up frequently on the Nationals. It states: a/b = c/d => a/b = c/d = (a+c

> The mediant inequation is: a/b < (a+c)/(b+d) < c/d The equality is more fun & shows up frequently on the Nationals. It states: a/b = c/d => a/b = c/d = (a+c)/(b+d) For example - On the AIME 2023 this Tuesday (Feb 7), Problem 12 was literally this equality. (see solution 2 below) https://artofproblemsolving.com/wiki/index.php/2023_AIME_I_Problems/Problem_12 https://artofproblemsolving.com/wiki/index.php/2023_AIME_I_P...