Visualizing division by fractions

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  • Опубліковано 2 гру 2024

КОМЕНТАРІ • 92

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  5 років тому +4

    To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
    --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
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    --If you believe that the translation in the subtitles can be improved, please send me an email.

  • @johndoh1000
    @johndoh1000 5 років тому +27

    Well this was an unexpected change of pace. I'm watching your "math videos" playlist IN ORDER and I find myself learning how to divide by a fraction after learning about the Lagrangian

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  9 років тому +14

    In case, you have not already seen them, I also uploaded several other videos recently. As always, for each video that you like, you can help more people find it in their UA-cam search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.

    • @ZoeTheCat
      @ZoeTheCat 9 років тому

      Eugene Khutoryansky Thank you so much for your videos Eugene. You do not receive the viewership that you truly deserve. Hopefully the word will get out and eventually you will be the "Khan Academy" of Math & Physics.
      PS: Can you do a video on Spinors? I'd LOVE to see a video by YOU on this topic. Spinors are my current obsession and it is a difficult topic. The Wiki entry is good, but you do EVERYTHING so much better ;-)

  • @TheRolemodel1337
    @TheRolemodel1337 9 років тому +31

    you educate from a different point of view i like that :)

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому +5

      ***** Thanks. I am glad you like that I do it from a different point of view.

  • @saeklin
    @saeklin 7 років тому +21

    While this shows the trick of multiplying the integer by the fraction's denominator, the illustration doesn't explain what the basic idea is. When you divide by any number, you ask how many of that number add up to the first number. I.e. How many 3s add up to 6? Two 3s add up to 6. How many 1/2s add up to 6? Well 2 halves add up to 1, and six 1s add up to 6, so 2 halves times 6 equal 12 halves. 12 halves add up to 6.

    • @rambojohn9041
      @rambojohn9041 6 років тому

      saeklin very good explination

    • @ayo2036
      @ayo2036 4 роки тому +7

      To be more specfic division is the amount of times you subtract, not add.

  • @simoputtonen2799
    @simoputtonen2799 9 років тому +15

    Quick and easy to understand. Good work!

  • @johnhippisley9106
    @johnhippisley9106 6 років тому +3

    I’ve never been able to visualize division by fractions until i saw this. thanks for the video!

  • @OrbitalDropGuy
    @OrbitalDropGuy 9 років тому +2

    Eugene, your videos are the best! It is a unique approach on physics

  • @EugeneKhutoryansky
    @EugeneKhutoryansky  6 років тому

    You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
    ua-cam.com/users/timedtext_video?ref=share&v=3D-f_nAYqHQ
    You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately.
    Details about adding translations is available at
    support.google.com/youtube/answer/6054623?hl=en
    Thanks.

  • @aaroldaaroldson708
    @aaroldaaroldson708 5 років тому +1

    This explanation of division just blew my mind! I've never thought about it from this side.

  • @benderrodriquez
    @benderrodriquez 7 років тому +1

    Great! I find the biggest problem with mathematics education is that kids are moved to the abstract before they grasp the concrete meaning of numbers, and are therefore get lost early on and never recover. Computer visualization is an amazing tool!

  • @zf164
    @zf164 7 років тому

    The best channel on UA-cam hands down.

  • @Paleoint
    @Paleoint 8 років тому +2

    Clever, but I'm afraid too clever by 1/2. :) Much simpler is to look at multiplication and its inverse, division, as iterative addition and substraction. So, when asked 6/(1/2) you say "How many times can I subtract 1/2 from 6?' With the intuitve answer of 12.

  • @alephd93
    @alephd93 5 років тому +1

    I’ve never understood this until now. Thank you

  • @bloggervista
    @bloggervista 9 років тому +2

    I like the way you make me think differently especially in physics :) Thanks if there were such people like you our education system would progress more :) Everyone should watch your animations :)

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому +1

      Shirshak Bajgain Thanks for that really great compliment. I appreciate that.

  • @tiagofranca2660
    @tiagofranca2660 9 років тому +2

    Great video as always! Keep them coming!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому +1

      Theenerd ジェームズ Thanks. Glad you liked it. Lots more videos on physics are coming soon.

  • @ramaswamibalakrishnan1103
    @ramaswamibalakrishnan1103 8 років тому +1

    your videos are crisp and easy to understand. your voice and the delivery of contents superb. hats off to you. God bless.

  • @MrVoayer
    @MrVoayer 9 років тому +1

    Clever and funny.
    Thanks.
    Keep on making great explanatory videos.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому

      MrVoayer Thanks for the compliment. Yes, lots more videos are on their way.

  • @miezmiuremiezutschi414
    @miezmiuremiezutschi414 9 років тому

    you're probably the best editor alive lol

  • @BugCatLove
    @BugCatLove 9 років тому +8

    There is a mistake at 0:25. There are six balls not six boxes

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому +5

      NickeTMD Yes, that is a typo that I put into the script. Thanks for pointing that out. I'll try to be more careful in the future.

    • @BugCatLove
      @BugCatLove 9 років тому +1

      Eugene Khutoryansky it's ok. keep it up with the good videos!

    • @bradleywatt-takagi4708
      @bradleywatt-takagi4708 6 років тому

      NickeTMD I

  • @adelomar3883
    @adelomar3883 9 років тому

    I really apreceiait what you're providing here in this chanell , you are really doing a hard work , now i understad alot of things more easy and clear . Thank you so much :)

  • @77Flamingfire
    @77Flamingfire 9 років тому

    I had trouble explaining this to my brother, I think I have a good explanation now, gonna show this to him later. Keep up the good work and thanks a lot!

  • @pendalink
    @pendalink 9 років тому

    Right to the point and very clear, can't say I've thought of this that way before. Cool video

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому

      pendalink Thanks for the compliment. I am glad you liked it.

  • @kellel5610
    @kellel5610 8 років тому +2

    Is it just me or did everyone notice the mistake on 0:26 It says 6 boxes instead of 3

  • @seandafny
    @seandafny 8 років тому

    Just for this video I think I will subscribe. Congrats ! U guys deserve it !

  • @VyvienneEaux
    @VyvienneEaux 3 роки тому

    So any division is kind of like simplifying the expression to have a denominator of 1? Eye-opening.

  • @ShaniRajbhar-lv2je
    @ShaniRajbhar-lv2je 4 роки тому

    I am thinking of it many years ago today i learned thanku so much

  • @carlosloures2436
    @carlosloures2436 9 років тому

    Great. This I will show to my daugther and others students for to undersand the mágico of the mathematic.

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому

      Carlos Loures Thanks. I hope your daughter and the other students like it.

  • @yankee6161
    @yankee6161 2 роки тому

    Excellent! A very intuitive explanation (with one typo at 0:23 when you say "six boxes" - it should be "three boxes")

  • @ElektrikDunyam
    @ElektrikDunyam 9 років тому

    Thanks for these great videos. By the way to visualize the dividing process, it may be better to distribute the balls one by one to the boxes . My boy understands better in that way. Great work please keep them going.

  • @alannabunny
    @alannabunny 9 років тому

    i never understood division by fractions, this helped a lot! thanks for another great video!

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому

      ***** Thanks. I am glad to hear that the video was helpful, and I am glad that you liked it.

  • @joet7830
    @joet7830 9 років тому +1

    Great vid!

  • @rodrigoappendino
    @rodrigoappendino 9 років тому +1

    Khutoryansky for kids
    Great video

  • @NKP723
    @NKP723 9 років тому +4

    *mindblown*

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому +2

      Kill723 (Schrödinger's Kitten) Glad to hear you had that reaction.

  • @tranduy8553
    @tranduy8553 4 роки тому

    Thank you, I love the meaning

  • @AyoTayParks
    @AyoTayParks 9 років тому +2

    1:07 But why????

    • @mucho5656
      @mucho5656 9 років тому +2

      You wanna know how many balls there are in 1 box. Not in half a box.

  • @ghamandlupinwalkingtours
    @ghamandlupinwalkingtours 6 місяців тому

    I'm so terrible at understanding this that I had to look up a visualisation. I still don't get it.
    The problem says one set of 6, and one half. So where do 12 balls and 2 halves come from?

    • @HatterTobias
      @HatterTobias Місяць тому

      Division using the ball and box example here roughly means like "If in n boxes there are m balls in total, how many balls there would be if there was only one?"
      With the equation being m divided by n (m/n) and assuming each box has the same amount of boxes
      In the 6 divided by 1/2 example, it basically translates to "if in half a box there are 6 balls, how many balls we would have if we had a box instead?"

  • @jennifersiagian
    @jennifersiagian 8 років тому

    thank you .. this is Holy

  • @viniciusfernandes2303
    @viniciusfernandes2303 3 роки тому +1

    Thanks!

  • @gregorymccoy6797
    @gregorymccoy6797 2 роки тому

    What sorcery is this? Awfully clever. Thanks

  • @oj3311
    @oj3311 9 років тому +1

    what if you had say 10 divided by two thirds?

    • @geodesicdeath2997
      @geodesicdeath2997 8 років тому

      +Oliver Baker that's putting 10 balls into 2/3 of a box. You still count how many balls are inside of a single box but that won't be a whole number of balls because 3 doesn't go into 10 evenly (i.e. its not an integer number).

    • @unev
      @unev 8 років тому

      If we follow the logic presented in the video than we can think of 2/3 fraction this way - the numerator (2) tells us among what number of boxes our dividable (10) should be spread, so 10 objects should be equally spread among 2 places: 10 / 2 = 5 object to fill a single box, next step is to evaluate the denominator, in your case it tells us that 5 balls we have from the previous step will fill only 1/3 of the box. Now, in order to find out how much objects are required to fill the box fully we have to multiply the fraction of objects by the size of the box: 5 * 3 = 15.
      Just to refine, think of having 10 balls but the quantity is only enough to fill 2/3 of the box. You know the number of sections in the box, you can figure out how many balls are needed to fill one single section, then you simply multiply the number of objects from one section by the total number of sections in the box.

  • @ZuluKhosa
    @ZuluKhosa 8 років тому

    Can you make videos for basic functions like addition, subtraction, division, multiplication, types of numbers, basic algebra..?

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  8 років тому +1

      +Harry Potter, I already have video similar to that. It is the one titled "Algebra and Mathematics." Thanks.

  • @sighisoaraa
    @sighisoaraa 8 років тому

    What about the division of two fractions? ^^

  • @TheChrasse
    @TheChrasse 9 років тому

    If I only had this video at hand when I was 10... You are a decade late, Eugene :(

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому +3

      ***** One of my future videos will about sending information back in time. Unfortunately, the conclusion of that video will be that this is not possible.

  • @simonriley849
    @simonriley849 9 років тому

    2nd excluding your comments!! XD Nice video by the way, very informing

  • @deveshchhabra6026
    @deveshchhabra6026 5 років тому

    Upload more plzz on maths

  • @dan1608
    @dan1608 9 років тому

    Great!

  • @tranduy8553
    @tranduy8553 8 років тому

    Thank you

  • @wfaaalmra3ba221
    @wfaaalmra3ba221 2 роки тому

    can you give me the code

  • @Monkey-l8s
    @Monkey-l8s 6 років тому

    Oh mi gosh
    No thits a typo
    Ou no a typo!
    WHY DO I KEIP ON DOING TYPOS
    STLP
    *_WHY DO I KEEP ON DOING TIPOZ_*

  • @ongin8520
    @ongin8520 9 років тому

    but there are 3 boxes?

    • @EugeneKhutoryansky
      @EugeneKhutoryansky  9 років тому

      Hrak Bidkhanian Yes, there are three boxes. That was a typo.

    • @ongin8520
      @ongin8520 9 років тому

      You are the best!!!!

  • @veezee9256
    @veezee9256 9 років тому

    Thumbs up.

  • @snakeguy76
    @snakeguy76 9 років тому

    All I can say is you got a lot of balls.

  • @BradCozine
    @BradCozine 5 років тому +1

    0:35 Ugh, that looks like what was left of me after my last relationship.

  • @awedgoo
    @awedgoo 9 років тому +1

    c: