What is 100 divided by 1/3?
Dividing by a fraction is equivalent to multiplying by it's reciprocal.
- 100 / (1/3) is equivalent to 100 x (3/1) = 100 x 3 = 300
Another example:
- Dividing 100 by 2 cuts it in half of the original (50)
- Dividing 100 by 1/2 doubles the original (200)
More Info:
www.wikihow.com
What are your thoughts on this subject?
530 Comments
Vicki Kessler Cole
Is this new math? How can you divide something ( which means to separate) and end up with more????
110
Jun 3, 2016 1:19PM
Bob Wexler
Jan Sydnam Just because some of you forgot 5th grade arithmetic, doesn't make this a bad question. This type of question is meant to make you pay attention and think, not jump to conclusions.
65
Jun 10, 2016 4:20PM
Richard Cullison
Question really is how many 1/3s are there in 100.Stated this way, it is easier to conceptualize that the answer is 300
64
Jun 5, 2016 7:13PM

William Laughlin
How many thirds in one? Three. How many thirds in 100? 300. Some crazy, logical horse s*#t, huh? It looks like someone failed elementary math class.
56
Jun 11, 2016 4:57AM
Jan Sydnam
Richard Cullison Duh! It's IMPOSSIBLE to have THREE HUNDRED 1/3's in 100! 1/3 of 100 is 33.3!
This question used the word "divided" NOT "multiplied" by!
45
Jun 10, 2016 3:07PM
caloyhernando
What??? This is horse s*#t!!!
26
Jun 3, 2016 4:39PM

William Laughlin
Jan Sydnam The question was not asking you to divide 100 INTO thirds, but to divide BY 1/3.. It asked how many times 1/3 goes into 100. If 3 thirds equals 1, then 300 thirds must equal 100.
21
Jun 11, 2016 4:40AM

William Laughlin
Vicki Kessler Cole You are dividing by a number that is a fraction of one. That is how the result is greater. If 3/3, (3 thirds) equals one, then 300/3 (300 thirds) equals 100. It's basic elementary school math. It is the difference between dividing INTO thirds, which yields 33 1/3 but is not what the question asks you to do, and dividing BY thirds! Whenever the divisor is a fraction of 1, the result will always be greater than the dividend! Voila!
14
Jun 11, 2016 4:54AM

Lydia Coutts
I certainly read it wrong (I thought it was asking for 1/3 of 100 - that's what I get for not reading properly!) and I imagine most others made exactly the same mistake. Thanks for explaining the answer very succinctly and clearly, which is more than the given answer does.
13
Jun 11, 2016 10:42PM
Chris Lee
Algernon Bhoomz you are cutting each apple into 3 pieces. When you are done, your 100 whole apple will be 300 pieces of apple.You will be able to provide a piece of apple to 300 students.
11
Jun 10, 2016 11:08PM

dowding
I hate math!
0
Dec 13, 2024 9:28PM

Micheline Ratcliffe
as far as I was concerned there was only one answer: 300 ! I didn't have to think twice !
0
Oct 9, 2024 7:16PM

Kevin Dale Streets
The photo reminds me of The Matrix!
0
Apr 22, 2024 11:33AM

Cheryl Love
The question does not ask what is 1/3 of 100. It asks how many 1/3s there are in 100, and it was taught in grade school. There are 3 thirds in 1, so 300 thirds in 100. The explanation is correct.
0
Dec 22, 2023 9:15AM

George Brungot
Vicki Kessler Cole, Think of it this way... if you have 100 pies, and you divide it up in thirds (each piece is cut into 1/3 slices)... how many slices do you have? 300.
0
Sep 27, 2023 6:58PM

snowballs
Not when I went to school 👎
2
Sep 15, 2023 7:52AM

Lisa Rodrigues
Vicki Kessler Cole, Because to divide by a fraction you invert the fraction then multiply. 3/3 = 1 so 100 divided by 1/ 3 is 100 * 3 = 300
0
Aug 30, 2023 1:54AM

Sandi Losh
Bob Wexler, Sorry.. jumping to conclusions is the only exercise I get.. 🙄
0
Jul 26, 2023 3:09PM

Sandi Losh
That’s misleading.. If I had to split $100 three ways, that would be $33.33 to each.. I’m sure they’d be thrilled if it suddenly became $300!
That’s multiplication!
0
Jul 26, 2023 3:07PM

Laura Lunardini Wilson
WRONG 1/3 of 100 is 33 1/3
0
Jul 19, 2023 7:57PM
Ron Gosling
Very simple math. Easy. 300
2
Jun 22, 2023 9:21AM

Howard Groopman
Simple arithmetic. When dividing by a fraction, invert the fraction and multiply. 100 X 3/1 = 300.
4
Jun 21, 2023 9:46PM
Susan Lake-Harris
Ah yes, a hundred divided by 3 would have been 33 1/3... didn't read it properly...
2
Jun 11, 2023 4:02AM

John Armstrong-Coulson
It's down to grammar ie divide v how many. Reducing by rather than multiplying. No wonder world economics are in such a mess.
1
Jun 5, 2023 3:41PM

Patrick T
Michael Weiss, I am only 10 years younger than you. I got the answer correct, because I remember what I was taught in school. This is not new style math.
0
May 16, 2023 5:59PM
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