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# Math: 6÷2(1+2) = ?

Anonymous Coward
User ID: 31557420
United States
01/17/2013 04:35 PM
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Re: Math: 6÷2(1+2) = ?
6÷2(1+2)=9

6÷2(1+x)=9

3(1+x)=9

3(1+x)/3=9/3

1+x=3

1-1+x=3-1

x=2

_________________

6÷2(1+2)=9

6÷2(x+2)=9

3(x+2)=9

x+2=3
x=1

_______________

6÷2(1+2)=9

3(1+2)=9
x(1+2)=9
x+2x=9
3x=9
x=3

Every possible variable solved right there.
Quoting: Anonymous Coward 31557420

__6__
2(1+2)

Quoting: DUCM900

This itself is wrong. The equation is not a fraction.
DUCM900

User ID: 32444806
Italy
01/17/2013 04:37 PM
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Re: Math: 6÷2(1+2) = ?
What are you sayin? This is the natural way to convert into a equation the whole stuff with X and solve it.

-

Last Edited by IWASTHERE on 01/17/2013 04:41 PM
PENG

User ID: 1159762
United States
01/17/2013 04:43 PM

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Re: Math: 6÷2(1+2) = ?
Maybe i should clarify. I now agree that the answer is 9.
Quoting: Anonymous Coward 32441302

"May the road rise up to meet you.... May the wind be always at your back..."
PENG

User ID: 1159762
United States
01/17/2013 04:46 PM

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Re: Math: 6÷2(1+2) = ?
The same equation was a tricky question back in my years in Gymnasium. And yes, although the majority of the students got 9, the mathematician told as that both 1 and 9 are correct.

And no I was never good at math...
Quoting: An Ordinary Greek 32438606

It's fucking 9

NINE

Not 1

morans

^that^ is correct.
Quoting: JanJan

YES! Again! 9999999999999999999999999999999999999999999. NINE!

Quoting: PENG

Checking you work.

Checking work. 9 is the only answer that work.
Quoting: Revguard

1 is never correct. It does not work if you plug it in and check. See images.
Quoting: Revguard

I sent it to my daughters math teacher.... Who uhm is obsessed with math. She told her it was 9. Whoot!

Annnnnd, if I must, I'll put in a call to Jacob Barnett. lol. I'm serious too.

Last Edited by PENG on 01/17/2013 04:47 PM
"May the road rise up to meet you.... May the wind be always at your back..."
Anonymous Coward
User ID: 31557420
United States
01/17/2013 04:50 PM
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Re: Math: 6÷2(1+2) = ?
What are you sayin? This is the natural way to convert into a equation the whole stuff with X and solve it.

-
Quoting: DUCM900

I am out of school. I have no books in front of me. I am trying to find an academic source to explain this.

Maybe you can write it out into a fraction. However, when you are going to solve that equation, you cannot solve for the denominator separately like you are doing. That is where you are messing up.

I am trying to find an academic source to officially explain this to you and solve this once and for all.

Anonymous Coward
User ID: 32441302
Sweden
01/17/2013 04:51 PM
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Re: Math: 6÷2(1+2) = ?
G´night peoples..
HA!
User ID: 20097194
United States
01/17/2013 04:55 PM
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Re: Math: 6÷2(1+2) = ?
6÷2(1+2) = going by mathematical order of operations,
(1+2) is 3
6÷2 is 3
and 3*3 = 9

so the correct answer to that equation is 9
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:01 PM
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Re: Math: 6÷2(1+2) = ?
The same equation was a tricky question back in my years in Gymnasium. And yes, although the majority of the students got 9, the mathematician told as that both 1 and 9 are correct.

And no I was never good at math...
Quoting: An Ordinary Greek 32438606

...

^that^ is correct.
Quoting: JanJan

YES! Again! 9999999999999999999999999999999999999999999. NINE!

Quoting: PENG

Checking you work.

Checking work. 9 is the only answer that work.
Quoting: Revguard

1 is never correct. It does not work if you plug it in and check. See images.
Quoting: Revguard

I sent it to my daughters math teacher.... Who uhm is obsessed with math. She told her it was 9. Whoot!
:win:

Annnnnd, if I must, I'll put in a call to Jacob Barnett. lol. I'm serious too.
Quoting: PENG

The answer is nine, now the problem is explaining to people why they are wrong.

The problem is I always assumed denominators and numerators were separate terms. Now I am reading the actual definition of what a term is, and apparently they are not.

So that would mean, you can make this into a fraction, but then what comes a problem for these people, is that they ARE treating the denominator and numerator as separate terms, when they should be.

So what that does is creates confusion, because people want to inherently treat them as separate terms. As you can see, this guy is solving for the denominator first. So the problem is, now I have have to either explain to him that he cannot turn the equation into a fraction, which I now think he can since I was wrong about terms, but the problem lies with solving the denominator separately, which is just something want to naturally do.

So my guess is, the numerator and denominator are NOT separate terms like I previously stated, nevertheless, you have to follow pemdas, and since you are makingthe equation not appear as if it were written from left to right, you are just naturally confusing yourself and solving for the denominator first, which you should not be.

The problem lies in the fact that I am trained as a biomedical engineer, and NOT a elementary/primary education or math degree. I can solve complex problems, I can't always explain the nitty gritty as here I messed up.

Sorry about that. Nevertheless, the answer is nine, I am sorry for the confusion in explaining why you are wrong.

But it boils down to this.

You are either creating separate terms by breaking it into a fraction (i no longer think this is the case), or you simply are confusing yourself by creating a fraction and then erroneously solving the denominator as if it were a separate term, when it is not. I think it is the later now.
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:02 PM
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Re: Math: 6÷2(1+2) = ?
The same equation was a tricky question back in my years in Gymnasium. And yes, although the majority of the students got 9, the mathematician told as that both 1 and 9 are correct.

And no I was never good at math...
Quoting: An Ordinary Greek 32438606

...

YES! Again! 9999999999999999999999999999999999999999999. NINE!

Quoting: PENG

Checking you work.

Checking work. 9 is the only answer that work.
Quoting: Revguard

1 is never correct. It does not work if you plug it in and check. See images.
Quoting: Revguard

I sent it to my daughters math teacher.... Who uhm is obsessed with math. She told her it was 9. Whoot!
:win:

Annnnnd, if I must, I'll put in a call to Jacob Barnett. lol. I'm serious too.
Quoting: PENG

The answer is nine, now the problem is explaining to people why they are wrong.

The problem is I always assumed denominators and numerators were separate terms. Now I am reading the actual definition of what a term is, and apparently they are not.

So that would mean, you can make this into a fraction, but then what comes a problem for these people, is that they ARE treating the denominator and numerator as separate terms, when they should NOT* be.

So what that does is creates confusion, because people want to inherently treat them as separate terms. As you can see, this guy is solving for the denominator first. So the problem is, now I have have to either explain to him that he cannot turn the equation into a fraction, which I now think he can since I was wrong about terms, but the problem lies with solving the denominator separately, which is just something want to naturally do.

So my guess is, the numerator and denominator are NOT separate terms like I previously stated, nevertheless, you have to follow pemdas, and since you are makingthe equation not appear as if it were written from left to right, you are just naturally confusing yourself and solving for the denominator first, which you should not be.

The problem lies in the fact that I am trained as a biomedical engineer, and NOT a elementary/primary education or math degree. I can solve complex problems, I can't always explain the nitty gritty as here I messed up.

Sorry about that. Nevertheless, the answer is nine, I am sorry for the confusion in explaining why you are wrong.

But it boils down to this.

You are either creating separate terms by breaking it into a fraction (i no longer think this is the case), or you simply are confusing yourself by creating a fraction and then erroneously solving the denominator as if it were a separate term, when it is not. I think it is the later now.
Quoting: Anonymous Coward 31557420

when they should not be*
PENG

User ID: 1159762
United States
01/17/2013 05:07 PM

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Re: Math: 6÷2(1+2) = ?
The same equation was a tricky question back in my years in Gymnasium. And yes, although the majority of the students got 9, the mathematician told as that both 1 and 9 are correct.

And no I was never good at math...
Quoting: An Ordinary Greek 32438606

...

YES! Again! 9999999999999999999999999999999999999999999. NINE!

Quoting: PENG

Checking you work.

Checking work. 9 is the only answer that work.
Quoting: Revguard

1 is never correct. It does not work if you plug it in and check. See images.
Quoting: Revguard

I sent it to my daughters math teacher.... Who uhm is obsessed with math. She told her it was 9. Whoot!

Annnnnd, if I must, I'll put in a call to Jacob Barnett. lol. I'm serious too.
Quoting: PENG

The answer is nine, now the problem is explaining to people why they are wrong.

The problem is I always assumed denominators and numerators were separate terms. Now I am reading the actual definition of what a term is, and apparently they are not.

So that would mean, you can make this into a fraction, but then what comes a problem for these people, is that they ARE treating the denominator and numerator as separate terms, when they should be.

So what that does is creates confusion, because people want to inherently treat them as separate terms. As you can see, this guy is solving for the denominator first. So the problem is, now I have have to either explain to him that he cannot turn the equation into a fraction, which I now think he can since I was wrong about terms, but the problem lies with solving the denominator separately, which is just something want to naturally do.

So my guess is, the numerator and denominator are NOT separate terms like I previously stated, nevertheless, you have to follow pemdas, and since you are makingthe equation not appear as if it were written from left to right, you are just naturally confusing yourself and solving for the denominator first, which you should not be.

The problem lies in the fact that I am trained as a biomedical engineer, and NOT a elementary/primary education or math degree. I can solve complex problems, I can't always explain the nitty gritty as here I messed up.

Sorry about that. Nevertheless, the answer is nine, I am sorry for the confusion in explaining why you are wrong.

But it boils down to this.

You are either creating separate terms by breaking it into a fraction (i no longer think this is the case), or you simply are confusing yourself by creating a fraction and then erroneously solving the denominator as if it were a separate term, when it is not. I think it is the later now.
Quoting: Anonymous Coward 31557420

Yes to the nines! ;)

"May the road rise up to meet you.... May the wind be always at your back..."
Forgotten

User ID: 1448291
United States
01/17/2013 05:10 PM
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Re: Math: 6÷2(1+2) = ?
A fraction is just a division problem.

Nothing more, nothing less.
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:28 PM
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Re: Math: 6÷2(1+2) = ?
A fraction is just a division problem.

Nothing more, nothing less.
Quoting: Forgotten

_____6_____ = ______3_____ = 1

2(1+2) (1+2)

Obviously there is a problem in writing this out as a fraction like this.

The problem is it should look like this

_____6(1+2)______ =9
2

If you are going to write this into a fraction, that is how you do it.
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:33 PM
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Re: Math: 6÷2(1+2) = ?
A fraction is just a division problem.

Nothing more, nothing less.
Quoting: Forgotten

_____6_____ = ______3_____ = 1

2(1+2) (1+2)

Obviously there is a problem in writing this out as a fraction like this.

The problem is it should look like this

_____6(1+2)______ =9
2

If you are going to write this into a fraction, that is how you do it.
Quoting: Anonymous Coward 31557420
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:34 PM
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Re: Math: 6÷2(1+2) = ?
sucks trying to write fractions like that. I know I can write them with windows auto correct I just don't know how.. sorry... nevertheless I think you can understand.

People have just been writing the equation incorrectly as a fraction. Sorry I didn't pick up on that earlier and stated something erroneous.
DUCM900

User ID: 32444806
Italy
01/17/2013 05:42 PM
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Re: Math: 6÷2(1+2) = ?
Show me the right equation with X value resolved step by step then.

-

Last Edited by IWASTHERE on 01/17/2013 05:45 PM
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:43 PM
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Re: Math: 6÷2(1+2) = ?
Show me the right equation then.

-
Quoting: DUCM900

___6(1+2)____=9

2

This is how the equation should be written in fraction form.
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:44 PM
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Re: Math: 6÷2(1+2) = ?
Show me the right equation with X value resolved then.

-
Quoting: DUCM900

every variable? Ok, give me a sec.
DUCM900

User ID: 32444806
Italy
01/17/2013 05:46 PM
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Re: Math: 6÷2(1+2) = ?
Show me the right equation with X value resolved then.

-
Quoting: DUCM900

every variable? Ok, give me a sec.
Quoting: Anonymous Coward 31557420

6/2(1+2) = x
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:47 PM
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Re: Math: 6÷2(1+2) = ?
___6(1+2)____=9

2

_____x(1+2)______=9
2

_____3x______=9
2

x=2/3(9)

x=6
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:49 PM
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Re: Math: 6÷2(1+2) = ?
Show me the right equation with X value resolved then.

-
Quoting: DUCM900

every variable? Ok, give me a sec.
Quoting: Anonymous Coward 31557420

6/2(1+2) = x
Quoting: DUCM900

_______6(1+2)_______=
2

_______6(3)_______=
2

_______18_______=
2

=9
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:50 PM
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Re: Math: 6÷2(1+2) = ?
___6(1+2)____=9

2

___6(1+2)____=9

x

6(1+2)=9x

18=9x

18/9=x

2=x
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:51 PM
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Re: Math: 6÷2(1+2) = ?
___6(1+2)____=9

2

___6(x+2)____=9

2

x+2=(2/6)9

x+2=18/6

x+2=3

x=3-2

x=1
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:52 PM
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Re: Math: 6÷2(1+2) = ?
___6(1+2)____=9

2

___6(1+x)____=9

2

1+x= (2/6)9

1+x= 18/6

1+x=3

x=3-1

x=2
Anonymous Coward
User ID: 31557420
United States
01/17/2013 05:53 PM
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Re: Math: 6÷2(1+2) = ?
There. Sorry I didn't pick up on your mistakes sooner.
DUCM900

User ID: 32444806
Italy
01/17/2013 06:53 PM
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Re: Math: 6÷2(1+2) = ?
And the only way to removing parentheses (on green block), is to resolve the whole block first itself:

6/2(1+2) = x

you can't remove it just after resolving the inside stuff only. That's the bottom line of all.

Or are you thinking parentheses are there just for stupid design purpose thing or something?

.

Last Edited by IWASTHERE on 01/17/2013 07:12 PM
Revguard

User ID: 29097718
United States
01/17/2013 07:12 PM
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Re: Math: 6÷2(1+2) = ?
And the only way to removing parentheses (on green block), is to resolve the whole block first itself:

6/2(1+2) = x

you can't remove it just after resolving the inside stuff only. That's the bottom line of all.

Or are you thinking parentheses are there just for stupid design purpose thing or something?

.
Quoting: DUCM900

Ducm, please stop. The answer is 9. Will always be 9. I can show you about 5 different ways to check the answer is 9.

Edit: For the sake of eduction, The parenthesis are there for one reason, to tell you to do the 2+1 first. Nothing more, nothing less. From there you work the problem as normal.

Basically the problem really comes down to....

6 ÷ 2 x 3= ?

Work left to right from there. Pretty simple from here.

The confusion comes in when people try to write a word problem. They are telling you to add/complete 2(2+1) FIRST "AKA [2(2+1)]". Every word problem in this thread has said the same thing. Which does not match the equation.

Last Edited by Revguard on 01/17/2013 07:25 PM
Anonymous Coward
User ID: 31801898
United States
01/17/2013 07:25 PM
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Re: Math: 6÷2(1+2) = ?
6/2(1+2) = x
Quoting: DUCM900

6 / 2(1+2) = x
clear parentheses by distributive property :
6 / (2 * 1) + (2 * 2) = x
and clear parentheses by multiplication :
6 / 2 + 4 = x
then order of operations : division first, then addition :
3 + 4 = x

7 = x

You're welcome.
Revguard

User ID: 29097718
United States
01/17/2013 07:28 PM
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Re: Math: 6÷2(1+2) = ?
6/2(1+2) = x
Quoting: DUCM900

6 / 2(1+2) = x
clear parentheses by distributive property :
6 / (2 * 1) + (2 * 2) = x
and clear parentheses by multiplication :
6 / 2 + 4 = x
then order of operations : division first, then addition :
3 + 4 = x

7 = x

You're welcome.
Quoting: Anonymous Coward 31801898

This is wrong on many levels. Try to plug 7 into the original equation where X is. Check your work.
DUCM900

User ID: 32444806
Italy
01/17/2013 07:30 PM
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Re: Math: 6÷2(1+2) = ?
And the only way to removing parentheses (on green block), is to resolve the whole block first itself:

6/2(1+2) = x

you can't remove it just after resolving the inside stuff only. That's the bottom line of all.

Or are you thinking parentheses are there just for stupid design purpose thing or something?

.
Quoting: DUCM900

Ducm, please stop. The answer is 9. Will always be 9. I can show you about 5 different ways to check the answer is 9.

Edit: For the sake of eduction, The parenthesis are there for one reason, to tell you to do the 2+1 first. Nothing more, nothing less.
Quoting: Revguard

Bingo, so why not just reporting this if your claim is so obvious:

6/2*3 = x

-
Revguard

User ID: 29097718
United States
01/17/2013 07:33 PM
Report Abusive Post
Re: Math: 6÷2(1+2) = ?
And the only way to removing parentheses (on green block), is to resolve the whole block first itself:

6/2(1+2) = x

you can't remove it just after resolving the inside stuff only. That's the bottom line of all.

Or are you thinking parentheses are there just for stupid design purpose thing or something?

.
Quoting: DUCM900

Ducm, please stop. The answer is 9. Will always be 9. I can show you about 5 different ways to check the answer is 9.

Edit: For the sake of eduction, The parenthesis are there for one reason, to tell you to do the 2+1 first. Nothing more, nothing less.
Quoting: Revguard

Bingo, so why not just reporting this if your claim is so obvious:

6/2*3 = x

-
Quoting: DUCM900

Because the original poster was making a point about our education system. And the plethora of people on here who say their IQ is 140.