this post was submitted on 03 Mar 2024
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X/0.5 = X*2
Division by less than 1 is essentially multiplying with extra steps
Huh, thanks for the insight. I've never been able to get my head around weird division like this, and that sounds like a great rule of thumb for thinking about it.
Dividing by a fraction is the same as flipping one it on its head and multiplying it.
0.25/0.5 is (1/4)/(1/2)
To multiply it we'd flip one, either works but for this example I decided to flip the second one: (1/4) * (2/1)
The top half of the fractions (numerators) multiply together, then the bottoms (denominators) multiply together. (1*2)/(4*1) = 2/4 which reduces to 1/2