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:
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What are your thoughts on this subject?
531 Comments
Vicki Kessler Cole
Is this new math? How can you divide something ( which means to separate) and end up with more????
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
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.
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.
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!
caloyhernando
What??? This is horse s*#t!!!
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.
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!
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.
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.
Julian M. Watson. ❤️❓
I Really Get On With Maths. 🤬
dowding
I hate math!
Micheline Ratcliffe
as far as I was concerned there was only one answer: 300 ! I didn't have to think twice !
Kevin Dale Streets
The photo reminds me of The Matrix!
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.
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.
snowballs
Not when I went to school 👎
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
Sandi Losh
Bob Wexler, Sorry.. jumping to conclusions is the only exercise I get.. 🙄
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!
Laura Lunardini Wilson
WRONG 1/3 of 100 is 33 1/3
Ron Gosling
Very simple math. Easy. 300
Howard Groopman
Simple arithmetic. When dividing by a fraction, invert the fraction and multiply. 100 X 3/1 = 300.
Susan Lake-Harris
Ah yes, a hundred divided by 3 would have been 33 1/3... didn't read it properly...
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.