Pre-Algebra 20 - Converting Repeating Decimal Numbers to Fractions

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  • เผยแพร่เมื่อ 27 ส.ค. 2024
  • Decimal numbers with an infinitely repeating sequence of digits after the decimal point can be converted into fractions. This chapter explains why.

ความคิดเห็น • 870

  • @thenecromancer4113
    @thenecromancer4113 5 ปีที่แล้ว +256

    Because of my cancer, I had to miss a few days of school, and this really helped me with my grades.

    • @thepizzainthebackofyourfre9615
      @thepizzainthebackofyourfre9615 5 ปีที่แล้ว +29

      The Necromancer I hope you get better soon ❤️. I have to be homeschooled and so right now I’m by myself tryin to do my work but I didn’t understand how to do this.

    • @thenecromancer4113
      @thenecromancer4113 5 ปีที่แล้ว +14

      @@thepizzainthebackofyourfre9615 noice, and thx

    • @slke_
      @slke_ 5 ปีที่แล้ว +5

      Cool hope you get better

    • @thenecromancer4113
      @thenecromancer4113 5 ปีที่แล้ว +4

      @@slke_ thx :3

    • @zenzen7832
      @zenzen7832 5 ปีที่แล้ว +5

      I hope you get better ❤️❤️❤️

  • @memeguin3937
    @memeguin3937 3 ปีที่แล้ว +21

    10 years later and this lesson still helps

    • @cheesymations3116
      @cheesymations3116 3 ปีที่แล้ว +3

      Yeah my teacher refuses to teach us anything saying we should have learned it last year so this is helpful

    • @ok_e3w
      @ok_e3w 2 ปีที่แล้ว +1

      @@cheesymations3116 dang lol we might have the same teacher xd bc mine says the same thing ;-;

  • @john-bm3tc
    @john-bm3tc 5 ปีที่แล้ว +449

    Basically all 7th grad pre algebra kids are here

  • @fenyl0877
    @fenyl0877 2 ปีที่แล้ว +11

    The amount of times youtube has taught me something better than school ever did is frightening. But this is an amazing lesson, super useful especially when my calculator refuses to turn crap into fractions.

  • @danese1636
    @danese1636 2 ปีที่แล้ว +6

    Mechanical Engineering Major here (university student).
    Found this video quite helpful. I never actually learned this is any of my elementery to highschool classes, and I usually just used a calculator to convert the number into a fraction. Being able to do this (first on paper and now in my head) saves a couple of seconds while writing out solutions on homework and on exams for, say, my Fluid Mechanics class. So thank you!!!
    (Extremely useful when I need to maintain a certain level of precision which is lost on rounding but which also costs a tiny bit of time to regenerate in my calculator from previous steps. it's not much but, when using pipeflow equations for example, it stacks up quickly)

  • @LLockDown1
    @LLockDown1 6 ปีที่แล้ว +10

    If anyone is stuck on WHY and HOW we got 9. Here is HOW;[10x - x = 10x - 1x= 9x] the missing piece is the #1 no body stated it, everyone here is only paying attention to the fact the it just 9 without actually explaining how we got to 9. Here the WHY remember [x is the same as 1x] #1 is the multiplicative identity in multiplication.

    • @Kelsey-qh7rh
      @Kelsey-qh7rh 2 หลายเดือนก่อน

      Thank you so much for explaining that! I’m doing an 8th grade summer course and I’m going to be learning 9th grade math next year when I’m in 7th grade(I’m learning two grades ahead), so it’s been really hard for me to understand all of this.

  • @CreativeClaudia
    @CreativeClaudia 10 ปีที่แล้ว +5

    Thanks SOOOOOOOOOOOOOOOOO much, this reeally really really helped.... at first i couldnt understand how they got an answer, but with this, i understand it perfectly! Thanks!

  • @marshaetheridge1327
    @marshaetheridge1327 4 ปีที่แล้ว +27

    thanks professor schmohawk im forever indepted to you

  • @nazo288
    @nazo288 6 ปีที่แล้ว +10

    u explain this much much much better than my teacher lol thanks this saved me

  • @absolutelytoxicc8328
    @absolutelytoxicc8328 3 ปีที่แล้ว +10

    More helpful than the math book! Thank you.

  • @MendoMaya-it5us
    @MendoMaya-it5us หลายเดือนก่อน +11

    Who are see this video 2024❤😂

  • @tyler9703
    @tyler9703 7 ปีที่แล้ว +6

    Night before my test and I finally get it! Thank you so much.

  • @mccnology
    @mccnology 4 ปีที่แล้ว +11

    watching this too help me catch up on work, it helps a lot🌚💁🏻‍♀️💞

  • @TechnoSan09
    @TechnoSan09 ปีที่แล้ว +4

    absolutely fantastic explanation
    in most books they just explain the procedure to solve a particular math problem
    but you explained how that procedure came

  • @alanakhan3845
    @alanakhan3845 2 ปีที่แล้ว +14

    currently in algebra 2 learning logs and i completely forgot how to do this so now i’m here😃

  • @miale4357
    @miale4357 4 ปีที่แล้ว +13

    I thank god everyday for life saves like you, thank you x10000

  • @Mr-Intellectual
    @Mr-Intellectual 3 ปีที่แล้ว +15

    If anyone is stuck on WHY and HOW we got 9. Here is HOW;[10x - x = 10x - 1x= 9x] the missing piece is the #1 nobody stated it, everyone here is only paying attention to the fact that it's just 9 without actually explaining how we got to 9. Here the WHY..... remember [x is the same as 1x] #1 is the multiplicative identity in multiplication.

    • @boreddd6860
      @boreddd6860 3 ปีที่แล้ว

      That helped so much, much appreciated

    • @BrendaMLKovacs
      @BrendaMLKovacs 2 ปีที่แล้ว

      He did kind of hop to that really quick.

  • @energy-tunes
    @energy-tunes 2 ปีที่แล้ว +13

    weirdly high quality animations for 2011 vid

  • @dogmeat9825
    @dogmeat9825 5 ปีที่แล้ว +6

    you are actually a savior man I know that I am super late but thank you so much

  • @davidrizer7230
    @davidrizer7230 2 ปีที่แล้ว +12

    Your way better than my teacher

    • @yerks40z
      @yerks40z 2 ปีที่แล้ว +3

      i swearrr

    • @aj_the_gr8t
      @aj_the_gr8t 2 ปีที่แล้ว

      Mine is on the same level as this guy, I just fell asleep during this lesson

  • @gabby530
    @gabby530 6 ปีที่แล้ว +10

    wow a video teaches better than my math teacher

  • @kexen2764
    @kexen2764 5 ปีที่แล้ว +7

    This saved me its four am and I have homework due at 7:20 full of this

  • @goldenwood5088
    @goldenwood5088 6 ปีที่แล้ว +7

    It really helped me a lot.... I haave been finding a way to solve this since my teachers way of solving isn't really clear when i found this vid i am so happy because i onow how to solve all of them yayyyy

  • @WraithSolar
    @WraithSolar 4 ปีที่แล้ว +47

    Here because my teacher is horrible at explaining things

  • @Kyleschoolaccount
    @Kyleschoolaccount 2 ปีที่แล้ว +6

    Dang you’re still replying after 11 years? What a legend

  • @Max-dw7is
    @Max-dw7is 7 ปีที่แล้ว +3

    this makes sooooo much more sense than the way my 7th grade teacher was teaching it! Thx

  • @GachaWolf-rt9sw
    @GachaWolf-rt9sw 5 ปีที่แล้ว +10

    This helps a lot, especially cause I am having exams tomorrow in Math XD

  • @ellabrendairianto5211
    @ellabrendairianto5211 7 ปีที่แล้ว +8

    This helps more than school

  • @notsocooldude7720
    @notsocooldude7720 5 ปีที่แล้ว +9

    Wow this is very helpful. Thank you

  • @ajoke_i.p.6841
    @ajoke_i.p.6841 2 ปีที่แล้ว +4

    I'm reviewing some basic mathematics to refresh and I gotta say this video is perfect!

  • @kebusan9531
    @kebusan9531 4 ปีที่แล้ว +10

    This helped so much! Thank you!

  • @maxradebaugh7299
    @maxradebaugh7299 6 ปีที่แล้ว +3

    you explain this so much better than my own teacher thanks soooo much

  • @ivanhenricksinder
    @ivanhenricksinder 6 ปีที่แล้ว +2

    Thankyo very muck sir!!! Our teacher didnt tell the whole point so i watch this that makes my life easier as can be,

  • @aarondaniele.sarmiento2845
    @aarondaniele.sarmiento2845 3 ปีที่แล้ว +2

    thank you so much i wish every teacher is like you :)

  • @redstonetheanimecat3390
    @redstonetheanimecat3390 ปีที่แล้ว +3

    You have no idea how much this helped me thank you

    • @ICEE783
      @ICEE783 ปีที่แล้ว

      I have a test tomorrow so i need all the help I can get 😭

  • @naveenchaudhary4072
    @naveenchaudhary4072 3 ปีที่แล้ว +15

    Sorry but i am an engineer... have to come to basics again

  • @desodabbster0475
    @desodabbster0475 6 ปีที่แล้ว +1

    Best video ever I had been looking forever for a video like this it was not to fast or to slow THANKS

  • @misterwill3625
    @misterwill3625 ปีที่แล้ว

    Thank you so much. I have a math book that just says .3333 is 1/3 without saying why. Normal conversion of non-repeating was clearly explained, 25%, move decimal to left two places-.25. Then .25 is 25/100 then reduce by the shared divisible number of 25 to get 1/25. But this doesn’t work with repeating decimals and the book didn’t explain why. You’re video is exceptional. I’m now following you. 👏🏾

  • @yasminmet7439
    @yasminmet7439 9 ปีที่แล้ว

    This really helped me!All I new was how to turn fractions to decimals. Now I know how to turn repeating decimals to fractions!

  • @IsaacOwusurealmadrid
    @IsaacOwusurealmadrid 5 ปีที่แล้ว +13

    Bro this saved me lol

  • @ONEMANCREWFILMMAKING
    @ONEMANCREWFILMMAKING 5 ปีที่แล้ว +2

    you have relieved me of division..... THANK YOOOUUUU!!!!!!!!

  • @dshehri
    @dshehri 11 ปีที่แล้ว

    Many thanks professor for these usefull courses, This is the first time I learn converting from decimal to fraction

  • @JordyIsDone
    @JordyIsDone 6 ปีที่แล้ว +4

    This is so much better than listening to my teacher.

  • @luzcgarcia98
    @luzcgarcia98 2 ปีที่แล้ว +5

    this way is much simpler than the one i was teached thx

  • @gum9871
    @gum9871 2 ปีที่แล้ว +3

    Thank you!! I have an exam today and this topic was confusing to me, but this video made me understand :))

  • @Sstar8x3
    @Sstar8x3 ปีที่แล้ว +4

    bro is a hero he saved me from getting grounded
    thx

  • @LiterallyHavik
    @LiterallyHavik 2 ปีที่แล้ว +6

    I probably need to watch this because I slept for three hours on the day we learned it.

  • @samsneocyberera5293
    @samsneocyberera5293 4 ปีที่แล้ว +5

    Oh my God thanks to this channel ❤️

  • @maeshamahmud6347
    @maeshamahmud6347 4 ปีที่แล้ว +13

    Just divide by 9

  • @crystalwu7400
    @crystalwu7400 ปีที่แล้ว +4

    the way u explained it made me realise this is so much simpler than i thought

  • @lordlopikong6940
    @lordlopikong6940 11 หลายเดือนก่อน +14

    I'm 21 and a 2nd year college accounting student. Guess you never know where life take ya

    • @leahdemaertelaere6044
      @leahdemaertelaere6044 8 หลายเดือนก่อน +1

      COLLEGE you say? I’m in 9th grade and I have to know this shit and stuff that’s way harder, my guy you are behind on subject matter, either you are dumb and failed each and every year or you are just American

    • @leahdemaertelaere6044
      @leahdemaertelaere6044 8 หลายเดือนก่อน

      I’m 14

    • @testtube_ii
      @testtube_ii 8 หลายเดือนก่อน +4

      @@leahdemaertelaere6044 this makes no sense, they are literally in college.. why would u call them dumb lmaoaoao 😭😭

    • @boneyarrrd
      @boneyarrrd 7 หลายเดือนก่อน +1

      @@testtube_iilmao like why is there so much agression

    • @eialavaeu
      @eialavaeu 7 หลายเดือนก่อน +1

      bruh, you with the blue pfp is so annoying

  • @colederusha
    @colederusha 4 ปีที่แล้ว +4

    I find it easier to just use this formula:
    d/(10^(n)-1),
    where d is the repeated number as a whole number (For example, for 0.1428571... d is 142857),
    and n is the number of digits in the repeat (for the same example as last time, n would be 6)

    • @colederusha
      @colederusha 4 ปีที่แล้ว

      Looks more complicated than it is

    • @clonewarsproductions6454
      @clonewarsproductions6454 4 ปีที่แล้ว

      What grade work is that?

    • @markelbatone5819
      @markelbatone5819 3 ปีที่แล้ว

      @@clonewarsproductions6454 as a grade 9 student thats best at all subjects but sucks at math i think thats what a student hears when a math teacher talks

  • @josephineaquio6480
    @josephineaquio6480 5 ปีที่แล้ว +6

    this actually helped me.

  • @salomekalu8080
    @salomekalu8080 3 ปีที่แล้ว +2

    Thank you! Ive been trying to understand this for a week now and I have an exam in 30minutes.

  • @Youssef-he1mr
    @Youssef-he1mr 8 ปีที่แล้ว +1

    Very helpful video. AT first I didn't get it but now I understand it. Keep making great videos. :)

  • @xenos9533
    @xenos9533 3 ปีที่แล้ว +5

    he just helped me with my finals lol

  • @owethuzulu9489
    @owethuzulu9489 2 ปีที่แล้ว +3

    Thank you so much this was extremely helpful!🙏🏽❤️

  • @jamesshouserr7245
    @jamesshouserr7245 8 ปีที่แล้ว +1

    THANK YOU!!!! This really helped in my math class

  • @k3ara_e
    @k3ara_e 4 ปีที่แล้ว +4

    This was really helpful .

  • @Xbendoesbricks
    @Xbendoesbricks 9 ปีที่แล้ว +1

    Thanks Mr. !!!!! You're definitely going to help me on my quiz tomorrow! :D

  • @neonfishart
    @neonfishart 3 ปีที่แล้ว +1

    I wasn't expecting this to help me so much, thank you!

  • @dinosaurman4151
    @dinosaurman4151 ปีที่แล้ว +1

    Thank you so much, my dumb math teacher can't teach pre algebra so you helped alot

  • @Homo_sAPEien
    @Homo_sAPEien ปีที่แล้ว +3

    Simple. 1/9=.1111111, 1/99=.0101010101 1/999=.001001001001001, exedra. So, whatever the repeating decimal is, count the number of digits that repeat, then write a that number of 9’s repeating. Then, put the 9’s at the bottom of a fraction, with the number that repeats on top. Then, if possible, simplify. You have your fraction.

  • @mickodonnell890
    @mickodonnell890 4 ปีที่แล้ว +1

    Brilliant! Totally spells out what this engineering maths book was on about that I'd just started! Thank you MyWhyU :-)

  • @hely3722
    @hely3722 7 ปีที่แล้ว +1

    this worked
    you are my favorite professor

  • @jamaicaengnan7377
    @jamaicaengnan7377 7 ปีที่แล้ว +2

    thank you so much now I learn better to this guy

  • @georgiadunbar3731
    @georgiadunbar3731 4 ปีที่แล้ว +14

    Um I am in 2019 and I think they changed math because this seems too easy from what my teacher taught me

  • @broilostgulag7155
    @broilostgulag7155 4 ปีที่แล้ว +3

    This is how easy it is 🙃 the way my teacher explained it complicated

  • @Aespafanbutsmartidk23
    @Aespafanbutsmartidk23 ปีที่แล้ว +3

    TYSMMMM, I FINALLY UNDERSTAND OUR MATH LESSON 😭😭

  • @rogeliobagaloyos3882
    @rogeliobagaloyos3882 5 ปีที่แล้ว +5

    Thank you for helping me

  • @The39889
    @The39889 5 ปีที่แล้ว +9

    This helps my homework a lot I don’t understand anyone else XD

  • @avia4933
    @avia4933 3 ปีที่แล้ว +5

    I’m 11 and I needed this for my 8th grade math class thank u I understand so much now

    • @invalid5777
      @invalid5777 3 ปีที่แล้ว +1

      Watch this entire series, and itll help you alot, then I suggest watching the algebra series.

    • @BrendaMLKovacs
      @BrendaMLKovacs 2 ปีที่แล้ว +1

      My son's 11 and 5th grade and learning this. They just introduced decimals and he's already being slammed with this. I like to know how in the world you're in 7th and 8th grade math being 11 but hopefully that means you can grasp this better than we can.

  • @angielgavz7873
    @angielgavz7873 7 ปีที่แล้ว +4

    thank you so much you answer my problem and my assignment

  • @hankhill6166
    @hankhill6166 3 ปีที่แล้ว +5

    I'm in the middle of a exam and I just had to google this. got 80 percent not half bad

    • @invalid5777
      @invalid5777 3 ปีที่แล้ว

      how'd you get your mark while in a exam? :^)

  • @grahamnelson2298
    @grahamnelson2298 ปีที่แล้ว +6

    ur so much better than my teacher

  • @strangazer
    @strangazer 2 ปีที่แล้ว +2

    Omg you just saved me!!! Thank you so much! Now, I know how. My prof. kinda explained it in complicated way. Glad that I found this! It's much easier I just wish I saw this earlier. I did wrong solution in one number in my quiz :< nevertheless thank ya so much! Have a great day!!😁

  • @rawadhassan4270
    @rawadhassan4270 ปีที่แล้ว +1

    Even after all these years this videos still one of the best in explaining

  • @tejaswinirathore6201
    @tejaswinirathore6201 3 ปีที่แล้ว +2

    loved the way explained.. thank u

  • @habibahassouna5145
    @habibahassouna5145 3 ปีที่แล้ว +1

    You made it sound so simple! Thank you so much this will help with my IGs

  • @jayveeye
    @jayveeye 4 ปีที่แล้ว +11

    I wonder if 123/999 can be simplified to 41/333

  • @anujarora0
    @anujarora0 6 ปีที่แล้ว +2

    Wow sir thank you and keep doing this great work

  • @rajkritisinghtakshak1640
    @rajkritisinghtakshak1640 4 ปีที่แล้ว +4

    I loved this video . Quite descriptive

  • @pearldumbura1722
    @pearldumbura1722 4 ปีที่แล้ว +4

    So helpful thank you

  • @HarleyPupper
    @HarleyPupper 12 ปีที่แล้ว +1

    Using this method, we can prove that 0.9999....=1. Let's call the decimal number x. Since there is one repeating digit, multiply x by 10, and subtract x.
    You will come up with 9.9999...-0.9999=9.
    Since 10x - x = 9x, and 9x=9, divide both sides by 9, and you will get 9x/9 =9/9.
    Eliminate the 9's on the left side. You will get x= 9/9, which will simplify to 1.
    Therefore, 0.9999....=1.

    • @RandomHuman22
      @RandomHuman22 2 ปีที่แล้ว +1

      You are the first reply 9 years ago... WOW

  • @robertwilsoniii2048
    @robertwilsoniii2048 2 ปีที่แล้ว +6

    How can you have a repeating decimal in real life when there isn't enough time to add an infinite number of terms before death?

    • @supertom2316
      @supertom2316 2 ปีที่แล้ว

      You can write the pattern of a repeating decimal once. The decimal equivalent of 1/3 is 0.33333. You can write it as 0.3, and put a dot or line over the 3. The dot or line will show that it repeats. If more than one digit repeats, we put dots or a long line over the entire repeating pattern. For example, 1/7 is 0.142857... You can put a line over the decimal places. I hope that helps, Robert Wilson!

    • @tintintin070
      @tintintin070 ปีที่แล้ว

      you can't. a lot of math can't actually exist in real life the way we think about when we do the problems

    • @robertwilsoniii2048
      @robertwilsoniii2048 ปีที่แล้ว

      @@tintintin070 This is exactly why I think college is stupid. Starting witb Peter Abelard, academia has lost its way. The last good thinker was Aristotle. Everything after him has been nearly worthless.
      I know he thought continuous mathematics was empirical, and believed in irrationality on these grounds. However, if Aristotle were alive today I truly believe that he would falsify his prior beliefs in light of new evidence and advocate making new mathematics that is empirically sound and throw away all the unsound crap.
      But I also have to say that I don't even consider anyone intelligent unless they have an iq of at least 150, and in reality I really would prefer an iq of at least 160 to even consider anyone worth listening too deeply when they speak. So, obviously, most college graduates and working professionals are below an iq of 160. And yes, I do think lowly of the vast majority of them. Most professors, even, have iq's below 150. And yes, I think lowly of them too.
      But, my parents are high iq so I have spent my entire life interacting with and arguing with really very intelligent people. So my perspective is skewed and my expectations are through the roof. My dad's iq is 151, for reference. Measured by the Army in the 70's and then again by mensa 10 years later. He never joined mensa. He never graduated college, either. He thought everyone was too stupid to be worth learning anything from, tbh. I share his opinion

  • @futurez12
    @futurez12 7 ปีที่แล้ว +3

    Really helpful video, thanks. One thing though, is that an English accent you're affecting? To an English person it sounds really strange lol.

  • @potterypotty9465
    @potterypotty9465 3 ปีที่แล้ว +6

    Watching this video hoping that it will help me pass my exam today🥲

    • @laylaluvsu13
      @laylaluvsu13 3 ปีที่แล้ว

      I have one on two days 🥲

    • @LiterallyHavik
      @LiterallyHavik 2 ปีที่แล้ว

      I'm failing accelerated math so now I need to do a large packet for homework 🥲

  • @MiNiBeats5
    @MiNiBeats5 6 ปีที่แล้ว +2

    Thank you, got a test tomorrow and i feal ready!

  • @khatijamaheen9711
    @khatijamaheen9711 6 ปีที่แล้ว +6

    5:37 Where did the number "9" come from??

  • @yor-homan
    @yor-homan 2 ปีที่แล้ว +1

    I can understand right away
    Cause of many examples
    Thank you for this =)

  • @koda2387
    @koda2387 7 ปีที่แล้ว +1

    thank u this helped me understand the problem better than my own teach

  • @johnezkiel
    @johnezkiel ปีที่แล้ว +2

    Grabe pre yan yung taung sa assigment ko thank you

  • @VideoxgamingHD
    @VideoxgamingHD 11 ปีที่แล้ว

    This video is so awesome it blew my mind!!!

  • @edwardbatista7920
    @edwardbatista7920 9 ปีที่แล้ว +8

    am I the only one taking calculus 3 and didn't even know how to do this? lmaoo

  • @fakevsreyality9864
    @fakevsreyality9864 3 ปีที่แล้ว +4

    God bless you👏👏👏👏

  • @skynation5725
    @skynation5725 6 ปีที่แล้ว

    Wow you really helped me with this video. Because of you I wont be behind in my work!

  • @csamuraii1429
    @csamuraii1429 3 ปีที่แล้ว +3

    Thank you for this it was very helpful!!!

  • @woofywoo1778
    @woofywoo1778 8 ปีที่แล้ว +10

    omg thank u 8th grade is so painful

    • @nikky5322
      @nikky5322 8 ปีที่แล้ว

      Same ugh

    • @MyWhyU
      @MyWhyU  8 ปีที่แล้ว +1

      Even math professors were in 8th grade once. I feel your pain. - Professor V.S.

    • @woofywoo1778
      @woofywoo1778 8 ปีที่แล้ว

      +MyWhyU well as I go on it gets easier but at the same time difficulty increases

    • @MyWhyU
      @MyWhyU  8 ปีที่แล้ว

      Subtracting x from "10 times x" gives you "9 times x". This is what happens when we subtract the fraction from 10 times the fraction.

    • @nikky5322
      @nikky5322 8 ปีที่แล้ว

      +MyWhyU What if the first number of the repeating decimal is 0 for example , 0.0545454... And it says it's equal to 3 over 55. But then it says what decimal could be added to 0.0545454... To get 0.1545454....?

  • @mady__gl
    @mady__gl 8 ปีที่แล้ว +2

    I should of seen this before my exam , I got a 3 T.T

  • @kayaacee
    @kayaacee 3 ปีที่แล้ว +8

    what if it’s a negative number

    • @pepperybread738
      @pepperybread738 3 ปีที่แล้ว +1

      Then it is negative

    • @airflare1638
      @airflare1638 3 ปีที่แล้ว +4

      ignore the negative and solve it. At last write the answer with a negative sign.

    • @tanyazak33
      @tanyazak33 3 ปีที่แล้ว

      Yes just ignore and put itbackwhen you solve it