this post was submitted on 14 May 2024
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It won’t keep you up if you just think of Divide as just multiplying by the fraction
Yeah I was gonna comment that 0.25*(1/0.5) = 0.5 doesn't look nearly as weird
I didn’t specify fully, but I was just thinking 1/4 * 2/1
Imo, as soon as you write it as 0.25 multiplied by a fraction it works, because you can then easily see that it's the same as (1/4)*2
The math looks perfectly fine. But when people phrase "half of a quarter" I think they have (1/2)*(1/4) in mind, instead of 0.25/0.5
But this isn't "half of a quarter" this is "the reciprocal of a half, of a quarter"
Half of a quarter is 0.25/2 or 0.25*1/2
I know, but to me this meme doesn't make sense to me unless I assume the person reading the math Expression is interpreting its real world application.
25 / 5 = 5 and nobodies head exploded. That's just evaluating a math Expression. .25 / .5 = .5 is the same. It's not a "my brain can't comprehend how to evaluate expressions" as the meme suggests.
However, if someone who doesnt do much algebra thought to themselves "I need half of a quarter", then I could understand why their brain might "hurt" as the meme suggests, for a similar reason why adding 20 degree Celsius water to 20 degree Celsius water doesn't make 40 degree Celsius wate
I'm probably reading into it too much, but the meme just doesn't feel like a "mind fuck that keeps me up at night". I'm looking for reasons to try and explain it, but it's just a math expression at the end of the day
I think the meme is an exaggeration of the situation for comedic effect. It just looks silly at first glance, I don't believe the OP is kept up at night by this, and is rather making a remark about how it doesn't instantly feel intuitive as a result (to use the 20 Celsius water example, its the same kind of momentary "wtf?" as 40 Celsius water not being twice as hot as 20 Celsius water. After a moment you remember "oh derp yeah we're missing 273.15 kelvin in this picture lol")
I think you nailed the confusion in this meme.
To simplify: it's confusing that ½ = 0.5, but 1/2 ≠ 1/0.5