I've never liked Pi. In school I was told that it was 3.14 and I remembered after school that it had something to do with circles and that it went on forever but there my understanding ended and I was lost.
Until recently when I decided to do a bit of reading and saw Pi expressed not as 3.14 but as 22/7.
Wait a minute. 22/7? With the circumference as the numerator and the diameter as the denominator?! You mean all this time Pi was just a freaking ratio that expressed how big the circumference was in relation to the diameter of any given circle?!?! And THAT'S why you'll get the circumference if you multiply the diameter by 3.14?!?!?
Holy crap! In an instant I understood what 6 years of junior high and high school and 35 years of living hadn't helped me understand just by seeing Pi in fraction form rather then decimal form. All those time when Pi was just presented as 3.14, when stupid news stories went gaga over the discovery of the next digit in the sequence or mathematicians sighed over the beauty of it's irrationality and all the romance and affection glossed over the fact that all a person needed to know about Pi was that it was a constant ratio. 22/7. Period.