I am utterly lost. What does the last division add to the equation? Let's say

Our math:

50 members
-divided by 2
25
-multiplied by 5
125 games need to be played because 25 active members (5+ games a month) means that 125 games have been played

Your math:

50 members
-divided by 2
25
-multiplied by 5
125 games need to be played, but if active member is 5+ games a month, this still means that there have to be 25 active members

You aren't changing anything