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this is actually something i had to endure as well specifically from knowing these tricks and being well practiced in "doing it in my head". i had to be retrained to show my work. each new teacher would assume i was some how cheating on the homework by just writing the answers. that may be harsh, but that's the way it was always received. if they weren't going to give me the benefit of the doubt, why should i for them?


To this day, I remain unsure of what work I was meant to be showing in 3rd grade to "convert" between ratios and fractions.


Probably just change the colon to a horizontal bar?


Yes, that's all there is to it, which is why I never showed any work and didn't get full marks.




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