As an addition to the original post:
If you ever see a reduction given in decimal format (e.g. the 2008 KOP's were 0.0784), THAT is where the output shaft rotates 0.0784 times per 1 revolution of the input (output:input). Car transmissions usually show reductions in this manner. This particular number (0.0784) was calculated by (14/50)*(14/50), where each 14-tooth gear is the input and each 50-tooth gear is the output in their respective stages. Also note what the reciprocal of this number is ( 1 / 0.0784 = 12.75), but to flip the decimal like that you also 'flip' the which side is the output and which side is the input, hence (12.75 : 1) is (input : output).
Whoever lost that argument was probably headed in the right direction but confused about the nomeclature, hence the argument kept going. Durn those kinds of arguments...
