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9 - 3 ÷ 1/3 + 1 = ? by spark1
Started on: 05-19-2016 01:52 PM
Replies: 52 (1005 views)
Last post by: 2.5 on 05-24-2016 11:47 AM
spark1
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Report this Post05-19-2016 01:52 PM Click Here to See the Profile for spark1Send a Private Message to spark1Edit/Delete MessageReply w/QuoteDirect Link to This Post
Can you solve this simple math problem?

This problem went viral in Japan after a study found 60 percent of 20 somethings could get the correct answer, down from a rate of 90 percent in the 1980s.

Remember PEMDAS or watch the video.

[This message has been edited by spark1 (edited 05-19-2016).]

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Report this Post05-19-2016 01:59 PM Click Here to See the Profile for Stubby79Send a Private Message to Stubby79Edit/Delete MessageReply w/QuoteDirect Link to This Post
1.
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Report this Post05-19-2016 02:09 PM Click Here to See the Profile for Stubby79Send a Private Message to Stubby79Edit/Delete MessageReply w/QuoteDirect Link to This Post

Stubby79

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Member since Aug 2008
We knew it as BEDMAS, "Brackets" rather then "Parenthesis". Whatever you wanna call it...

I HATE those "skill testing questions" that are mandatory to win prizes around here. They tend to throw those math rules out the window. Had to call to clarify once -- they expect you to do the math in order from left to right for some stupid reason. So this question would go like this:

9 - 3 ÷ 1/3 + 1 =
6 ÷ 1/3 + 1 =
18 + 1 =
19

No, really. They did that. If they wanted to do that, they should have put each one on a separate line. Thus:

Take 9
Minus 3.
divide by 1/3rd
add 1.

So, yeah, "simple" skill testing questions don't work if the retards who write them don't know math.
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Report this Post05-19-2016 02:21 PM Click Here to See the Profile for MidEngineManiacSend a Private Message to MidEngineManiacEdit/Delete MessageReply w/QuoteDirect Link to This Post
Google says the answer is 1

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Report this Post05-19-2016 02:34 PM Click Here to See the Profile for jaredmurray88Send a Private Message to jaredmurray88Edit/Delete MessageReply w/QuoteDirect Link to This Post
19

[This message has been edited by jaredmurray88 (edited 05-19-2016).]

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Report this Post05-19-2016 02:38 PM Click Here to See the Profile for Formula88Send a Private Message to Formula88Edit/Delete MessageReply w/QuoteDirect Link to This Post
9 - 3 ÷ 1/3 + 1 = ?

Here's my solution based on my rusty decades old Algebra knowledge.
1/3 is the same as 1 ÷ 3, so this really is.

9 - 3 ÷ 1 ÷ 3 + 1

9 - (3 ÷ 1) ÷ 3 + 1

9 - (3) ÷ 3 + 1

9 - (3 ÷ 3) + 1

9 - (1) + 1

=9

(Edit, and I think I see why I'm wrong...)

3 ÷ 1/3 should be the same as 3 ÷ 1 * 3. (it's easier to see written on paper)
3 ÷ .3333 = 9, so it becomes,

9 - 9 +1 = 1

[This message has been edited by Formula88 (edited 05-19-2016).]

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texasfiero
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Report this Post05-19-2016 02:47 PM Click Here to See the Profile for texasfieroSend a Private Message to texasfieroEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Stubby79:

We knew it as BEDMAS, "Brackets" rather then "Parenthesis". Whatever you wanna call it...

I HATE those "skill testing questions" that are mandatory to win prizes around here. They tend to throw those math rules out the window. Had to call to clarify once -- they expect you to do the math in order from left to right for some stupid reason. So this question would go like this:

9 - 3 ÷ 1/3 + 1 =
6 ÷ 1/3 + 1 =
18 + 1 =
19

No, really. They did that. If they wanted to do that, they should have put each one on a separate line. Thus:

Take 9
Minus 3.
divide by 1/3rd
add 1.

So, yeah, "simple" skill testing questions don't work if the retards who write them don't know math.


Why not:
9 - 3 ÷ 1/3 + 1 =

BEDMAS
B or P - none

E - none

D
3 ÷ 1/3 = 9 > 9 - 9 + 1

M - none

A
9 - 9 + 1 = 10 > 9 - 10

S
9 - 10 = -1

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Report this Post05-19-2016 03:02 PM Click Here to See the Profile for BlacktreeClick Here to visit Blacktree's HomePageSend a Private Message to BlacktreeEdit/Delete MessageReply w/QuoteDirect Link to This Post
I was taught MDAS (pronounced "Midas") in school. So using that, the answer would be 1.

If you add the missing parentheses to the problem, it becomes more clear:

9 - (3 ÷ 1/3) + 1 = 1

[This message has been edited by Blacktree (edited 05-19-2016).]

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Report this Post05-19-2016 03:23 PM Click Here to See the Profile for KhwSend a Private Message to KhwEdit/Delete MessageReply w/QuoteDirect Link to This Post
If you follow the order of function the answer is 1. First function in that equation would be dividing 3 by 1/3. This will leave you with this equation: 9-9+1=. It equals 1

PEMDAS

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

You must do the division before doing the adding and subtracting.

[This message has been edited by Khw (edited 05-19-2016).]

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Report this Post05-19-2016 04:31 PM Click Here to See the Profile for Formula88Send a Private Message to Formula88Edit/Delete MessageReply w/QuoteDirect Link to This Post
For me the confusion was in writing 1/3 instead of the way ½ is written. While by itself there's not difference, one third is one divided by three.
However, if it's treated as 1 divided by 3 instead of the fraction "one third" you do the division in order from left to right.

Then 3 ÷ 1/3 becomes 3 ÷1 ÷ 3, which is how I came up with "9" for my first answer in my post above.

[This message has been edited by Formula88 (edited 05-19-2016).]

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Report this Post05-19-2016 06:47 PM Click Here to See the Profile for gtjoeSend a Private Message to gtjoeEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Khw:

If you follow the order of function the answer is 1. First function in that equation would be dividing 3 by 1/3. This will leave you with this equation: 9-9+1=. It equals 1

PEMDAS

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

You must do the division before doing the adding and subtracting.



If you are using the pemdas order of operations wouldnt 9-9+1 be 9-10 and be equal to -1 instead of 1?

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Report this Post05-19-2016 07:24 PM Click Here to See the Profile for KhwSend a Private Message to KhwEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by gtjoe:


If you are using the pemdas order of operations wouldnt 9-9+1 be 9-10 and be equal to -1 instead of 1?


No, as they are... A and S are grouped so are preformed left to right when more than one function is present just as M and D are.. So I guess the better write up would be:

Parentheses
Exponents
Multiplication and Division ( "grouped set" in order they appear from left to right ).
Addition and Subtraction ( "grouped set" in order they appear from left to right ).

So, say you have the problem 9 / 3 X 5=, You would do 9 / 3 or 3 resulting in 3 X 5= 15. You would not do 3 X 5= 15 resulting in 9 / 15= 0.6. Grouped sets are done in the order they appear. Math is all rules that have to be followed /sigh.

[This message has been edited by Khw (edited 05-19-2016).]

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Report this Post05-19-2016 09:02 PM Click Here to See the Profile for LitebulbwithaFieroSend a Private Message to LitebulbwithaFieroEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by gtjoe:


If you are using the pemdas order of operations wouldnt 9-9+1 be 9-10 and be equal to -1 instead of 1?


-9+1=8

9-8=1
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Report this Post05-19-2016 09:36 PM Click Here to See the Profile for Stubby79Send a Private Message to Stubby79Edit/Delete MessageReply w/QuoteDirect Link to This Post
My head hurts.
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Report this Post05-19-2016 09:39 PM Click Here to See the Profile for BoondawgSend a Private Message to BoondawgEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Stubby79:

My head hurts.


Jinx!
You owe me a Coke!
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Report this Post05-19-2016 09:46 PM Click Here to See the Profile for blackramsSend a Private Message to blackramsEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Stubby79:

My head hurts.


Hmm, I had a full head of hair before I started working on this...............

Someone owes me a toupee, at least till it grows back.............

------------------
Ron

Isn't it strange that after a bombing, everyone blames the bomber, his upbringing, his environment, his culture, his mental state but … after a shooting, the problem is the gun?

Definition of a home owner, "see the door threshold, without my permission, there and no futher.......

My Uncle Frank was a staunch Conservative and voted straight Republican until the day he died in Chicago. Since then he has voted Democrat. Shrug

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Report this Post05-19-2016 10:28 PM Click Here to See the Profile for MonkeymanSend a Private Message to MonkeymanEdit/Delete MessageReply w/QuoteDirect Link to This Post
3 divided by 1/3 is the same as 3 TIMES 3=9. 9-9 (=0) + 1=1

1 is the correct answer.
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Report this Post05-19-2016 10:35 PM Click Here to See the Profile for blackramsSend a Private Message to blackramsEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Monkeyman:

3 divided by 1/3 is the same as 3 TIMES 3=9. 9-9 (=0) + 1=1

1 is the correct answer.

Showing off won't win you any prizes.

------------------
Ron

Isn't it strange that after a bombing, everyone blames the bomber, his upbringing, his environment, his culture, his mental state but … after a shooting, the problem is the gun?

Definition of a home owner, "see the door threshold, without my permission, there and no futher.......

My Uncle Frank was a staunch Conservative and voted straight Republican until the day he died in Chicago. Since then he has voted Democrat. Shrug

[This message has been edited by blackrams (edited 05-20-2016).]

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Report this Post05-20-2016 12:11 AM Click Here to See the Profile for E.FurgalSend a Private Message to E.FurgalEdit/Delete MessageReply w/QuoteDirect Link to This Post
not this crap again..
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Report this Post05-20-2016 03:18 AM Click Here to See the Profile for Stubby79Send a Private Message to Stubby79Edit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Boondawg:


Jinx!
You owe me a Coke!


A gram or an ounce?
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Report this Post05-20-2016 05:46 AM Click Here to See the Profile for MonkeymanSend a Private Message to MonkeymanEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by blackrams:

Showing of won't win you any prizes.



It should. FWIW, it's the only math I can remember. You'd think, after 6 or 7 years of high school, I'd remember more.
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Report this Post05-20-2016 08:08 AM Click Here to See the Profile for blackramsSend a Private Message to blackramsEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Monkeyman:


It should. FWIW, it's the only math I can remember. You'd think, after 6 or 7 years of high school, I'd remember more.


You'd be one of the more talented ones but, know this. My survey indicates.......4 out of 3 people struggle with math.......

------------------
Ron

Isn't it strange that after a bombing, everyone blames the bomber, his upbringing, his environment, his culture, his mental state but … after a shooting, the problem is the gun?

Definition of a home owner, "see the door threshold, without my permission, there and no futher.......

My Uncle Frank was a staunch Conservative and voted straight Republican until the day he died in Chicago. Since then he has voted Democrat. Shrug

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Report this Post05-20-2016 08:15 AM Click Here to See the Profile for J-HollandSend a Private Message to J-HollandEdit/Delete MessageReply w/QuoteDirect Link to This Post
The answer should be 9.
9-3 * 1/3 +1=
9-(3 * 1/3) +1=
9-1+1=9

Going Left to right, you do the division and then you do everything else.

If you put the parenthesis around the first part, it would look like (9-3) *1/3 +1=
(6) *1/3+1=

2+1=3
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Report this Post05-20-2016 10:01 AM Click Here to See the Profile for KhwSend a Private Message to KhwEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by J-Holland:

The answer should be 9.
9-3 * 1/3 +1=
9-(3 * 1/3) +1=
9-1+1=9

Going Left to right, you do the division and then you do everything else.

If you put the parenthesis around the first part, it would look like (9-3) *1/3 +1=
(6) *1/3+1=

2+1=3


You are dividing by 1/3rd not taking one third of the total . So you'd have 6/1 divided by 1/3. Invert and multiply you'd have 6/1 X 3/1= 18/1 simplify to 18. So 6 divided by 1/3 is 18. Just as 3/1 divided by 1/3, invert and multiply 3/1 X 3/1=9/1 simplify 9. Basically, for ever 1 you have 3/3rds. Therefore 1 divided by 1/3rd is 3. It takes 3 1/3rds to make 1 so 1 divided by 1/3rd...

[This message has been edited by Khw (edited 05-20-2016).]

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Report this Post05-20-2016 10:19 AM Click Here to See the Profile for 84fiero123Send a Private Message to 84fiero123Edit/Delete MessageReply w/QuoteDirect Link to This Post
1

------------------
Technology is great when it works,
and one big pain in the ass when it doesn't



Detroit iron rules all the rest are just toys.

[This message has been edited by 84fiero123 (edited 05-20-2016).]

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Report this Post05-20-2016 10:36 AM Click Here to See the Profile for ls3machSend a Private Message to ls3machEdit/Delete MessageReply w/QuoteDirect Link to This Post
It is for sure 9, but it messed with my brain head to get there.

9-3/1/3 +1 is really how you solve it. The way it is written is really what throws you.
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Report this Post05-20-2016 12:05 PM Click Here to See the Profile for Stubby79Send a Private Message to Stubby79Edit/Delete MessageReply w/QuoteDirect Link to This Post
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Report this Post05-20-2016 12:55 PM Click Here to See the Profile for 84fiero123Send a Private Message to 84fiero123Edit/Delete MessageReply w/QuoteDirect Link to This Post
oops, forgot to say NWS

https://youtu.be/4LfGQAdD9Zo

[This message has been edited by 84fiero123 (edited 05-21-2016).]

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Report this Post05-20-2016 09:59 PM Click Here to See the Profile for Formula88Send a Private Message to Formula88Edit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Monkeyman:

3 divided by 1/3 is the same as 3 TIMES 3=9. 9-9 (=0) + 1=1

1 is the correct answer.


True, but "1/3" isn't written in the equation as 0.33333, it's written as a 1 divided by 3. So why is "1/3" treated as a fraction rather than the expression 1 / 3?


Writing one third as "1/3" is what threw me off. If it had been properly written like this, I don't think I would have made the same mistake.

[This message has been edited by Formula88 (edited 05-20-2016).]

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Report this Post05-20-2016 10:19 PM Click Here to See the Profile for jmclemoreSend a Private Message to jmclemoreEdit/Delete MessageReply w/QuoteDirect Link to This Post
9 - 3 ÷ 1/3 + 1 The Problem
9 -1+1 The Rules -/+ - negative results
9 + 0
9


Here is the trick to get to the answer fast

Cancel out your 3's
9 - 3 ÷ 1/3 + 1
9 - 3 ÷ 1/3 + 1

Cancel out your ÷ signs
9 - ÷1/ + 1 That leaves you with this messed up expression
9 - ÷ 1/ + 1

Simplified Expression is
9 -1 + 1 Cancel out your 1's and the answer is
9


So the faster way to have done this would have looked like this
9 - 3 ÷ 1/3 + 1

Edit :
Yep I tripped over my own shoelaces with everyone watching......

[This message has been edited by jmclemore (edited 05-20-2016).]

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Stubby79
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Report this Post05-21-2016 09:10 AM Click Here to See the Profile for Stubby79Send a Private Message to Stubby79Edit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Formula88:

True, but "1/3" isn't written in the equation as 0.33333, it's written as a 1 divided by 3. So why is "1/3" treated as a fraction rather than the expression 1 / 3?



When helping others figure out how to look at such equations, once upon a time, I would draw in brackets, so they realized what they had to do first.

Besides which, however you write it, "1/3" = 0.33333333333333333333333333333333333333333333333333333333333333333333333333333333333.... since it goes on forever, it's a lot easier to write "1/3". You could also look at it like it was algebra, but instead of "A" being written there, it's "1/3"; it's a defined value that doesn't necessarily need to be written out.

Besides which, with more than one division, you have to start from the right... 3 / 1 / 3 <--- you have to divide the 1 by the second 3 before you can divide the first 3 by the quotient of the last two.

Or something like that. It's one of these things I take for granted and don't have to think about...kinda hard to put in to words.

Besides which, I said besides which twice already.

[This message has been edited by Stubby79 (edited 05-21-2016).]

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Report this Post05-21-2016 09:22 AM Click Here to See the Profile for Stubby79Send a Private Message to Stubby79Edit/Delete MessageReply w/QuoteDirect Link to This Post

Stubby79

7064 posts
Member since Aug 2008
Oh, yeah, lookie....forgot this about dividing by fractions:

Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

Thus:


code:
 
3 ÷ 1/3 is the same as :

3 1
--- ÷ ---
1 3

Which turns in to:

3 3
--- x ---
1 1

Therefore:

3 x 3 9
------ = --- = 9
1 x 1 1



So:
9 - 9 + 1 =
(Drum-roll, please!)
1.

(Edited to compact it)

 
quote
Originally posted by Khw:
You are dividing by 1/3rd not taking one third of the total . So you'd have 6/1 divided by 1/3. Invert and multiply you'd have 6/1 X 3/1= 18/1 simplify to 18. So 6 divided by 1/3 is 18. Just as 3/1 divided by 1/3, invert and multiply 3/1 X 3/1=9/1 simplify 9. Basically, for ever 1 you have 3/3rds. Therefore 1 divided by 1/3rd is 3. It takes 3 1/3rds to make 1 so 1 divided by 1/3rd...


Edit: cuz I see someone else stated it already and deserves the credit.

[This message has been edited by Stubby79 (edited 05-21-2016).]

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Report this Post05-21-2016 10:06 AM Click Here to See the Profile for Formula88Send a Private Message to Formula88Edit/Delete MessageReply w/QuoteDirect Link to This Post
Is 1/3 the same as 1÷3?

9 - 3 ÷ 1 ÷ 3 +1 = ?
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Report this Post05-21-2016 10:24 AM Click Here to See the Profile for whadeduckSend a Private Message to whadeduckEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Formula88:

Is 1/3 the same as 1÷3?

9 - 3 ÷ 1 ÷ 3 +1 = ?


It is. But it's treated as its own equation. And then the division is supposed to be done before the addition and subtraction. So it could be written as 3/(1/3) which is the same as saying 3*3. Then you do the addition and subtraction from left to right and come up with 9-9+1 = 0+1 = 1.

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Whade' "Darkwing" Duck
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Report this Post05-21-2016 10:20 PM Click Here to See the Profile for newfSend a Private Message to newfEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Formula88:

Is 1/3 the same as 1÷3?

9 - 3 ÷ 1 ÷ 3 +1 = ?


It's ok man we all make mistakes.

If one sees a division sign and a slash in the same equation in text most will probably assume the / indicates a fraction but glancing at a question on a forum I'm sure more than a few will confuse the fraction written as it was for division sign shorthand.
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Report this Post05-21-2016 11:44 PM Click Here to See the Profile for 84fiero123Send a Private Message to 84fiero123Edit/Delete MessageReply w/QuoteDirect Link to This Post
Raymond: 82, 82, 82.

Charlie: 82 what?

Raymond: Toothpicks.

Charlie: There's a lot more than 82 toothpicks, Ray.

Raymond: 246 total.

Charlie: How many?

Sally Dibbs: 250.

Charlie: Pretty close.

Sally Dibbs: There's four left in the box.

[This message has been edited by 84fiero123 (edited 05-21-2016).]

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spark1
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Report this Post05-22-2016 12:47 AM Click Here to See the Profile for spark1Send a Private Message to spark1Edit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Formula88:

Is 1/3 the same as 1÷3?

9 - 3 ÷ 1 ÷ 3 +1 = ?


(1/3) is the same as (1 ÷ 3). But multiplication by the reciprocal of a fraction is the same as division by the fraction.

So it is simpler to say: 3 · (3/1) = 9 than to calculate 3 ÷ (.3333) ≈ 9.
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Marvin McInnis
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Report this Post05-22-2016 03:24 AM Click Here to See the Profile for Marvin McInnisClick Here to visit Marvin McInnis's HomePageSend a Private Message to Marvin McInnisEdit/Delete MessageReply w/QuoteDirect Link to This Post
Key: It's a matter of notation. ⅓ is a discrete quantity equivalent to (1 / 3) ... which is not the same as the expressions 1 / 3 (without enclosing parentheses) or 1 ÷ 3.

9 - 3 ÷ 1 / 3 + 1 = 9 - 3 ÷ 1 ÷ 3 + 1
is not the same as
9 - 3 ÷ ⅓ + 1

When in doubt, or when there might be ambiguity, always use parentheses:

9 - 3 ÷ ⅓ + 1 = 9 - (3 ÷ (1 ÷ 3)) + 1

[This message has been edited by Marvin McInnis (edited 05-22-2016).]

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newf
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Report this Post05-22-2016 04:04 AM Click Here to See the Profile for newfSend a Private Message to newfEdit/Delete MessageReply w/QuoteDirect Link to This Post
 
quote
Originally posted by Marvin McInnis:

Key: It's a matter of notation. ⅓ is a discrete quantity equivalent to (1 / 3) ... which is not the same as the expressions 1 / 3 (without enclosing parentheses) or 1 ÷ 3.

9 - 3 ÷ 1 / 3 + 1 = 9 - 3 ÷ 1 ÷ 3 + 1
is not the same as
9 - 3 ÷ ⅓ + 1

When in doubt, or when there might be ambiguity, always use parentheses:

9 - 3 ÷ ⅓ + 1 = 9 - (3 ÷ (1 ÷ 3)) + 1



Technically you are definitely correct however I think my point was valid. If most people see a division symbol and a slash in the same equation as the example given most would assume the slash represents a fraction as most do not know how to type in a fraction as you did.
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RayOtton
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Report this Post05-22-2016 08:54 AM Click Here to See the Profile for RayOttonSend a Private Message to RayOttonEdit/Delete MessageReply w/QuoteDirect Link to This Post
Some will get it, some will not -

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