How to Convert Decimals To Fractions - Math trick for recurring decimals

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  • Опубліковано 26 лис 2022
  • Recurring decimals look a bit tricky but it is easy to convert them to fractions.
    You'll spot the pattern no worries!
    This is a remake of a video I made earlier - but I like this explanation better.
    To donate to the tecmath channel: paypal.me/tecmath?locale.x=en_AU
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КОМЕНТАРІ • 84

  • @Roarshark12
    @Roarshark12 Рік тому +23

    I had a wide-open grin when I realized why you multiplied by 100 and then simply expressed the remainder as 99. Now I know why I hear you smiling so much when you give these lectures, Josh. Thanks!

    • @tecmath
      @tecmath  Рік тому +2

      Thank you.

    • @Roarshark12
      @Roarshark12 Рік тому +1

      @@tecmath Yeah your positive enthusiasm is a big reason why I watch all of your videos :-)

  • @alittax
    @alittax Рік тому +32

    This is beautiful! I HATED Math at school and now I'm trying to repair my relationship with Math, and videos like these help me a lot! If everyone had a teacher like YOU, then Math would for sure be one of the most liked subjects in school! Thank you for your work! :)

    • @tecmath
      @tecmath  Рік тому +10

      Thanks. Keep up the repair!

    • @alittax
      @alittax Рік тому +4

      @@tecmath
      Haha, will do! :) All the best to you!

    • @abiodunaghedo550
      @abiodunaghedo550 Місяць тому

      HII

  • @12thDecember
    @12thDecember Рік тому +11

    Whenever I watch a shortcut solution to a math problem video, I'm always left wondering who in the world discovered this brilliant technique. Anyhoo, thanks for the fascinating video. It's always good to learn new things.

    • @ricos1497
      @ricos1497 Рік тому +7

      It was me. I don't like to talk about it though.

    • @tecmath
      @tecmath  Рік тому +16

      It was Rico.
      We don't mention it often.

    • @Dante_The_Great
      @Dante_The_Great Рік тому

      😳

  • @TrapShooter68
    @TrapShooter68 Рік тому +5

    I made a Nemo comment quite a while ago so now I'll just say you sound like the math teacher I wish I had 60 years ago!!! Happy Days!!

    • @tecmath
      @tecmath  Рік тому +1

      I still love that comment.
      My students always find it quite funny!

  • @Pillation
    @Pillation Рік тому +1

    Hi. I am a nursing degree apprentice and I just wanted to reach out to you to say thank you. Before I enrolled in my uni course I needed a maths grade. I never managed it in school. Failed again in college. At 32 years old I finally managed to pass a maths exam with thanks to your explanations. I was told to give up by people that knew me because I would never manage it, but I did it because you made it so much simpler.
    Next year I will graduate as a nurse and part of that success will be because of your help on here.
    I can’t thank you enough!

  • @julians9070
    @julians9070 Рік тому +5

    Thank you Josh, I can't even recall a lesson like this in any of the classes i was in many years ago. Another video to to learn and relearn maths Dysculculia is out and your videos are in.

  • @vincenzomaccarone3020
    @vincenzomaccarone3020 Рік тому +1

    Being 100% honest this is my first day watching you buy I absolutely love these videos and your accent is killer. Keep up the good work

  • @TR4Ajim
    @TR4Ajim Рік тому +1

    I wanted to let you know that you’re channel saved the day for me and my 11 year old granddaughter (6th grade). I was helping her with her homework and she had a math problem I had no idea how to solve. The problem was:
    A bag has 3 white marbles and 4 green marbles. What is the probability that if three marbles are removed one after the other, with no marbles replaced, all three of those marbles are white?
    We had no clue what to do until I found almost the exact same problem on your channel!! Not only did it help us find the answer (6/210), but we understood the process for solving other similar problems involving dice and coins!👍THANK YOU!

  • @CrepperPepper
    @CrepperPepper Рік тому +4

    I’ve been watching you since I was in 7th grade :) I love you so much

  • @yoursciencetutor2055
    @yoursciencetutor2055 Рік тому +4

    Yooo you're super informative making maths skills better with each video. And helping me to study physics better.

  • @tiaanvanrensburg1032
    @tiaanvanrensburg1032 Рік тому +81

    You sound like a blacksmith in a fantasy game who’s been battling the orcs of Shmarganrog to save his village

  • @barrybrockp8358
    @barrybrockp8358 Рік тому +3

    Really awesome, love all your videos, i always found maths clear and easy but i watch your videos as they make me happy how you make it all so simple and not how i learned in school, you must be helping so many people see the magic in numbers so calmly and clear, hats off to you mate

  • @mruseless4683
    @mruseless4683 Рік тому

    I am really thankful to you. I love math but there are so many videos calculating math with so many formulas that i dont know which is really boring to me. but this is really fun and i could watch this tricks from 1 hour straight and not be bored. This video also increases mental calculation by so much. Thanks!

  • @tobyking7330
    @tobyking7330 Рік тому

    I appreciate this kind of content. You can't find this kind of content you make anywhere else, which is why I need more of this!!! Also you sound like 'I did a thing'.

  • @magnuswootton6181
    @magnuswootton6181 Рік тому +3

    this man has a wizards mind.

  • @Shinefoodshine
    @Shinefoodshine Рік тому +1

    After reading these comments, I am convinced that most people can be good at math if they had the fortune of having a good teacher

  • @zeddysalt5096
    @zeddysalt5096 Рік тому +1

    Absolutely love your videos and your personality!!!

  • @nynmlg2299
    @nynmlg2299 Рік тому

    I just discovered your channel, and I am IN LOVE! Thank you!

  • @hugoedberg5246
    @hugoedberg5246 Рік тому +2

    I have recently encountered alot of problems with trigonomic functions. If you encounter a irrational number multiplying with pi usually brings me a step closer but this will definitly help.

  • @dafullclip
    @dafullclip Рік тому +1

    Thanks again, Josh 🍻

  • @madelinecesnalise76
    @madelinecesnalise76 Рік тому

    I remember my dad teaching me this 50yrs ago. Math is not easy for me. I'll have to watch and Do this a few more times till the light bulb finally goes off. Thank you. I know marh is good exercise for the brain.

  • @MathHand
    @MathHand Рік тому

    This explains everything so well 😀

  • @Alhuaaer332
    @Alhuaaer332 Рік тому +1

    Big fan! Thank you so much. This will help me in math class 😁
    Edit: I just learned this in Math!! Thank you.

  • @vernoneythan0701
    @vernoneythan0701 Рік тому

    Well done Brother. Keep it up.

  • @nguyenthikhanhha64
    @nguyenthikhanhha64 Рік тому

    I love your math vids

  • @tutorchristabel
    @tutorchristabel Рік тому

    such a fascinating video

  • @agrimpuriya2585
    @agrimpuriya2585 Рік тому

    You're a magician man.

  • @arnold80s94
    @arnold80s94 Рік тому

    CGP books made this look so hard. Should have come straight here 👍👍👍👍👍

  • @williamjbyrd
    @williamjbyrd Рік тому

    hey josh! I love your videos! I was looking on your channel and I couldn't find anything covering unit circles, I'm currently taking Trig in college and I'm struggling to understand unit circles. Your "trig made easy" video helped me tremendously with SOHCAHTOA! so could you make a unit circles made easy video? I would really appreciate it!

  • @rizzwan-42069
    @rizzwan-42069 Рік тому +2

    I actually forgot about this method.

  • @jack002tuber
    @jack002tuber Рік тому

    Excellent! For fun try typing in 6/7 in a calculator and then do this procedure. Also find the exact value of 1/ 97 and do this procedure. No calculator will work for that. Try a language called LISP or CLISP

  • @quangduonghantriet7822
    @quangduonghantriet7822 Рік тому +2

    Amazing

  • @AntonOrSomething
    @AntonOrSomething Рік тому +3

    x=0.999... is then times 10 = 9.999. 10x-x = 9. Divide by 9 and get 9/9 = 1

  • @bretmanfan
    @bretmanfan Рік тому

    You made it easy

  • @mojavebohemian814
    @mojavebohemian814 Рік тому

    Thank you, yup I get the pattern.

  • @f_dl
    @f_dl Рік тому +2

    Second love your videoss

  • @dhruvpatel-mf1jb
    @dhruvpatel-mf1jb Рік тому

    Make a video on linear regression

  • @raywood1624
    @raywood1624 Рік тому

    Real world workable maths

  • @sayanisarkar1010
    @sayanisarkar1010 Рік тому

    Respected sir, kindly give a video about convertion of indefinite decimal number to fraction.... Thank you and stay fine....😊

  • @kendriscoll263
    @kendriscoll263 Рік тому

    Can you show how to measure stair carpets easy way all that is done by maths that be great always watching you maths tricks

  • @JaeWheeler
    @JaeWheeler Рік тому

    So every time the digit extends further you add a 9?

  • @birhatkurdish
    @birhatkurdish Рік тому +1

    What's the name of the app? that you are using it

  • @bravikumar8950
    @bravikumar8950 29 днів тому

    👍👍👍

  • @ronbonick4265
    @ronbonick4265 Рік тому +1

    how did you get 99 I lost it I suck at math Tis why I watch your channel

  • @youness1554
    @youness1554 Рік тому

    please can someone solve this problem: Let A be a set containing 2023 elements. How many ways are there to choose two subsets of A (not necessarily distinct) whose union equals the set A

  • @-JA-
    @-JA- Рік тому +1

    👏🙂👍

  • @tamra9396
    @tamra9396 Рік тому

    You got Russell Crowe going on❤❤❤.

  • @sabananeo4840
    @sabananeo4840 Рік тому

    Maths made easy 😊

  • @HEKVT
    @HEKVT Рік тому

    Completely forgot about this method.

  • @ianpulizzotto1987
    @ianpulizzotto1987 Рік тому

    We can use a shortcut trick also for 0.1352352352... .
    For the denominator, use a digit 9 for each digit in the repeating group (after the decimal point), then followed by a digit 0 for each digit (if any) after the decimal point but before the start of the first repeating group. There are three repeating digits and one digit after the decimal point but before the start of the first repeating group, so the denominator is 9990.
    The numerator is the number formed by all digits up to the first complete repeating group, minus the number formed by the digits (if any) before the start of the first repeating group: 1352 - 1 = 1351.
    So the answer is 1351/9990. This is in reduced form already.
    Have a blessed, wonderful day!

  • @mellymetanoia2851
    @mellymetanoia2851 Рік тому +1

    Hi. Is the method different if there are no repeating digits?

  • @sayhi2kojo1
    @sayhi2kojo1 Рік тому +1

    We need maths formular to win 5/90 Lottery

  • @achmadmujria2947
    @achmadmujria2947 Рік тому

    Woow

  • @paulfaulkner6299
    @paulfaulkner6299 Рік тому

    Can anyone tell me how to quickly & easily work out DAILY compound interest?. I know that, for example an APR of 5.99% means that it makes 1,000 dollars / pounds / euros turn into 1,059.90 dollars / pounds / euros over a year by multiplying 1,000 by 1.000159833002843 by 365 times (I did this long hand in a spreadsheet by "guess then adjust", "guess then adjust" with the figure on day 365 becoming 1,059.90 on day 365 with enough guesses and adjustments) - what I'm after is a quicker way to do it than "a little up, a little down, one more decimal place needed - followed by a little up, a little down, one more decimal place, etc" I am after checking my mortgage statement where I believe my bank has made a mistake.

  • @XLoL-ui2me
    @XLoL-ui2me Рік тому +3

    First

  • @el_rico1283
    @el_rico1283 Рік тому

    im basically revising my 7th grade math while being in 9th

  • @stella6047
    @stella6047 Рік тому

    you sound like mr Willmot

  • @surenderkumarofficial7184
    @surenderkumarofficial7184 Рік тому +1

    Sir waiting for new video😐

  • @guy-
    @guy- Рік тому

    Just divide the upper by the bottom and you get a decimal 🗿

    • @fiveoclockdock
      @fiveoclockdock Рік тому

      Guy did you watch the video? Decimals to fractions not the other way around

  • @YesiPleb
    @YesiPleb 11 місяців тому +1

    Nope. Just can't get this.

  • @iiculer
    @iiculer Рік тому

    Now what if I had 0.4352352... 🙂

  • @keelielg
    @keelielg Рік тому

    this one still confused me a bit towards the end

  • @whitemewhite4281
    @whitemewhite4281 Рік тому

    I'm gonna hse upir vedios to study maths when I'm actually serious

  • @kyliehenderson7718
    @kyliehenderson7718 Рік тому

    Are u Aussie ?

  • @561jusvnn
    @561jusvnn Рік тому +1

    Jesus Christ loves you ✝️🙏

  • @AnglandAlamehnaSwedish
    @AnglandAlamehnaSwedish Рік тому

    I like ur channel but this way is too busy much easy way to show beginners