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Hi, can you help me with a math problem kbin? It's algebra, and it's been a long time since I've had to do it. Can you explain to me how simplifying the terms comes out to 9/2 in the pictured equation please?

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[โ€“] RyanIbanezMan@kbin.social 1 points 1 year ago* (last edited 1 year ago) (1 children)

@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

[โ€“] BrerChicken@lemmy.world 1 points 1 year ago

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.