0.5 / 0.5 = 1, so reducing the top term by half (from 0.5 to 0.25) reduces the result by the same (from 1 to 0.5), makes perfect sense to me. Or, ya know, just remember that dividing by 0.5 is the same as multiplying by 2.
Or even simpler the half of 0.5 fits into 0.25. And we all know a half is 0.5
I was trying to think how to put that into words with an example like, "how many halves fit in 10? It's 20. So how many halves fit in a quarter? Only half of a half will fit, so 0.5" but I kept screwing up the wording in my head for halves and quarters until I read your reply, so thank you for helping with that clarification. I knew the math was right but couldn't put it into words the way I wanted.
0.5 / 0.5 = 1
Fuck you, that's even worse!
x / x = 1
really shouldn't make anyone upset
It is the same as 1*x = x
I give you x, once. How many do you have?
If you move it around it makes more sense.
.25 = 0.5*0.5
If you take half of something only half of the time you take a quarter of something.
I see it more clear with this: 0.25 * 2 = 0.5
Dividing by 0.5 is like multiplying by 2.
Not weird or disturbing at all
So?
Dividing by a division of 2... Of course it's going to cancel out. Like subtracting a negative.
Surely you don't not understand double negatives? Just think of it like that.
Stupid Lemmy making me do maffs on a sunday >:(
Maybe someone better at math can answer this, but is 0.25/0.5 functionally the same as 0.5/1, or simply 0.5?
You can call it whatever you want, as long as it equals 1/2 it's the same number.
So yes, multiplying by 2/2 to make it more intuitively obvious is perfectly valid and a good way to think about it. Most arithmetic tricks are ultimately multiplying by 1 or adding 0 just to make the problem easier to handle.
I think it's easier to picture it in terms of fractions. When you divide by a fraction, you reciprocate the divisor. That is, you flip its numerator and denominator, then multiply them. In this case, we're taking 1/4 and dividing it by 1/2. You take the reciprocal of 1/2, which is 2/1. Then multiply the numerators and denominators. You end up with (1/4)*(2/1)=2/4=1/2=0.5
Dividing by 0.5 is the same as multiplying by 2. Simple
0.25 / 0.5 = 0.25 * 2 = 0.5
Everything I see memes like this I think:
“Do other people just not get basic math?”
0.5 = 1/2, 0.25 = 1/4
0.25 / 0.5 = (1/4) / (1/2) = 1/4 * 2/1 = 2/4 = 1/2 = 0.5
This is 25/50
In case people would like it demonstrated,
0.25/0.5
= 1/4 ÷ 1/2
= 2/4 ÷ 2/2
= 1/2 ÷ 1
A÷1 = A, therefore 0.25/0.5 = 0.5
Alternatively, (a/b)/(c/d) = (a×d)/(b×c)
1/4 ÷ 1/2 = 1×2 ÷ 4×1 = 2/4 = 1/2
And before any pedants crawl out of the woodwork, there are a load of implied brackets, at the spaces.
I understand this mathematically, but can somebody explain it logically?
0.25 is half of 0.5
Multiplying by 0.5 halves. Dividing would double the number. 0.25 doubled is 0.5.
Sleep well!
y/x = x with y = x*x because 0.25 is 0.5 squared.
from the "wow factor" it's the same as writing: 9/3 = 3 - not very wow at all
Nice little trick in the weird syntax we call math.
Every time I see something like this, the comments remind me that common core mathematics is a thing and it makes me sad.
Seriously, why is basic arithmetic worthy of so much discussion?
Just... do the math. It's not complicated math.
I sometimes feel bad about myself cause I didn't get very far into calculus, but then I remember that the average adult has no idea how fractions work.
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