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@nyarlathotep thank you so much! There's other comments to read below, but this is the first one that has triggered my memory for common denominators. You've explained it brilliantly!
Edit: can you explain how the reciprocal works and comes out to 2/9? Been a long time since high school
Reciprocal is the fraction that, multiplied by the original, would give you 1. For example, the reciprocal of 2/3 is 3/2. If you multiply them you get 6/6, which is 1. It's the same for 9/2 and 2/9. I always think of it is the "opposite fraction", where you just flip the top and bottom numbers around.