- Aug 17, 2007
- 1,138
- 136
Yes, 48 (1/2) (1/12) is equal to 2, since it's the same as 48 (1/24) = 48/24 = 2. But that should make sense, since I assumed what all the people who get 2 assumed; that's precisely why I also get 2. But that's not the key step. The key step is the step right after, where I can turn 4 (1/2) (1/12) into 48/2/12. And then it's very easy to see that 48/2/12 is not equal to 48/2(12). They are two different expressions, and have two different answers.Originally Posted by do work son
correct on the notion that division is just a multiplication of the inverse or reciprocal. therefore it would be 48/1 multiplied by 1/2 multiplied by 1/12 right? when you multiply those across you get 48/24 which is 2. correct?Originally Posted by il prescelto
Okay, for all the people who think the answer is 2, readthis and let me know what you think.
We start off with 48/2(9+3) = 48/2(12). We add the 9 and 3 first becausethey're in the parenthesis. I think everyone agrees on this step.
Now we have
48/2(12). Let us assume that 48/2(12) = 48/(2(12)) (which is what the peoplewho think the answer is 2 are assuming)
Since multiplication and division are inverse processes (in other words,XY=X(1/Y), we can do the following:
48/(2(12)) = 48(1/(2(12))) = 48 (1/2) (1/12)
Now let us turn those (1/2) and (1/12) back into division sign
48 (1/2) (1/12) = 48/2/12. And 48/2/12 surely does not equal 48/2(12). Therefore,our initial assumption is wrong.
Hereâs just the math
48/2(9+3) = 48/2(12). Assume 48/2(12) = 48/(2(12)). Then, 48/2(12)= 48/(2(12)) = 48(1/(2(12))) = 48 (1/2) (1/2) = 48/2/12 =/= 48/2(12). Therefore,our initial assumption is wrong, and 48/2(12) should not be interpreted as48/(2(12)).
If anyone thinks this is wrong, let me know. Andby the way, some guy said people with college education say the answer is 2. MyHarvard, Caltech, MIT, Yale, Stanford, and Cal friends all say 288; Iâm the sonof two Cal grads, and Iâve been a student at Cal myselfâ¦.since weâre talkingabout credentials
Someone prove me wrong...
Kingcrux31 and everyone else who says 2, go through my proof and let me know which mathematical laws/properties/rules I violated.