1 pie + 1 pie + 1 pie = 1 group of three pies
1/3 groups of three pies + 1/3 groups of three pies + 1/3 groups of three pies = 1 group of three pies
Both are correct.
Note that the first expression is NOT equivalent to “1 + 1 + 1 = 1”.
Again, we are not dividing 3 pies into 3 parts, we are dividing 1 group into fractions.
If you divide 1 group into 2 parts the parts are each 1/2 group. The two parts add up to 1.0 because 1/2 + 1/2 = 1.0
If you divide 1 group into 4 parts the parts are each 1/4 group. The four parts add up to 1.0 because 1/4 + 1/4 + 1/4 + 1/4 = 1.0
If you divide 1 group into 8 parts the parts are each 1/8 group. The eight parts add up to 1.0 because 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 1.0
PIES are not part of the equation. The unit of measure is GROUP! You can not divide 1 group into 1/3 groups.
Noone is dividing 3 pies into 3 parts. That’s your own invention.
You are. You are claiming each part is 1 pie. You are claiming that 1/3 group = 1 pie. That is FALSE because 3 x 1 = 3, but 3 x .333… = .999… So you did not divide the 1.0 group into 3 equal parts, because .333… + .333… + .333… = .999…, NOT 1.0!
It’s both 0.5 mile and 880 yards. The two are equivalent expressions. Michael Jordan is 198cm tall as well as 1.98m tall. To say that he’s only one of the two things, but not both, would be a contradiction.
I said “1 group of three pies divided by 3” not “3 pies divided by 3”. Two different expressions. To be sure, they mean the same thing but they are different expressions. I didn’t use the latter expression.
And you saying that “1/3 groups of three pies” isn’t “1 pie” is a blatant contradiction.
You are enamored with base-10 notation.
.5 mile can be converted to many different units, but the QUANTITY does not add up to 1.0 when the 2 parts are added together.
All you are doing is converting after the fact. You are claiming you can divide 1 mile into 2 equal parts of 880, but 880 +880 = 1760, NOT 1.0. The 2 parts do not add up to 1.0 they add up to 1760.
The 2 parts MUST add up to 1.0 because you started with 1.0 and you divided it into 2 equal parts. Those 2 equal parts MUST add up to 1.0.
Two parts of 880 do NOT add to 1.0 they add to 1760. That’s a FAIL!
I am claiming that 1 mile divided into 2 equal parts is 880 yards ( not merely “880”, that makes no sense. ) When you take the two parts and add them up, you get 1760 yards which is equivalent to 1 mile.
They add to “1 mile”. 880 yards + 880 yards = 1 mile.
They add to “1760 yards”, they do not add to “1760”. They also add to “1 mile”.
It seems like you have a serious disregard for units.
But nobody is talking about dividing 1760 yards into 2 equal parts of 880 yards. You are looking at the problem of 1 mile divided into 2 equal parts, and then before you divide you convert to yards and divide the 1760 into 2 equal parts.
I repeat, we are not talking about dividing 1760 into 2 equal parts, we are talking about dividing 1.0 into 2 equal parts.
Your “880 yards + 880 yards = 1 mile” is dimensionally incorrect, because the quantities are 880 + 880 = 1760, and the unit is YARDS. We are not talking about yards, we are talking about miles.
"880 yards + 880 yards = 1760 yards, just like .5 miles + .5 miles = 1.0 miles.
You are doing this: 1760/2=880
I am talking about this: 1/2=.5
True. Absolutely nobody.
I am dividing “1 group of three pies” into “3” equal parts.
Noone is dividing 1760 yards into 2 equal parts.
Noone is dividing 3 pies into 3 equal parts either.
These are your own inventions.
I am taking 1 group of three pies and then physically splitting it into 3 equal parts. I’m not using a knife. There is no whole pie here. We have 3 separate pies, already cut. I don’t know who cut them ( Ichthus, maybe? ) but they are already cut. And they may or may not have the same volume. Their volume is irrelevant. The point is that each one of them is a single pie. Together, they form 1 group of three pies. They are placed on a single dish. All I’m doing here is I am placing every pie on its own dish. The result of that is each dish having exactly 1 pie. The number of pies in each dish is exactly 1 pie. I just divided 1 by 3 without using long division. I took 1 thing ( 1 group of three pies ) and split it into 3 equal parts. The result can be expressed in any number of ways. One of them is “1 pie”. But you don’t have to do it that way if you don’t want to. You can also say the result is “1/3 groups of three pies” or “(0.1_{3}) groups of three pies”.
It’s a true statement and that is all that matters. The fact that I am using different units throughout the expression changes absolutely nothing.
Nah.
Belief v knowledge / Motor Daddy v Magnus A…
.5 mile can be converted to many different units, but the QUANTITY does not add up to 1.0 when the 2 parts are added together.
Wait a sec, motors position has devolved into saying 0.5+0.5 doesn’t equal 1? This is new
Walk a dozen miles in his shoes, then walk two dozen miles back, divide by three … get a dozen miles. Square it… get gross.
2 + 2 = 7040
I too can talk nonsense!!
My man, you have nothing to prove in that regard
…that is why we have a specifier, called units…
ROFL
So when people say 2 + 2 = 4 they are talking crap, because there are no units?
Motor Daddy, what is the difference between 1 dozen nautical miles and 1 dozen empireal similes?