Pre-Algebra 20 - Converting Repeating Decimal Numbers to Fractions

[@thenecromancer4113]

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

[@thepizzainthebackofyourfre9615]

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]

@@thepizzainthebackofyourfre9615 noice, and thx

[@slke_]

Cool hope you get better

[@thenecromancer4113]

@@slke_ thx :3

[@zenzen7832]

I hope you get better ❤️❤️❤️

[@memeguin3937]

10 years later and this lesson still helps

[@cheesymations3116]

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

[@ok_e3w]

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

[@Ghosted35]

13 now

[@danese1636]

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)

[@fenylzero]

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.

[@LLockDown1]

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]

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.

[@john-bm3tc]

Basically all 7th grad pre algebra kids are here

[@zenzen7832]

John Kolano *cries in 8 grade*

[@xlinzerx5135]

@@peterjenei5 HAHA Noob

[@kayladejesus9481]

* me: an 9th grader* *also me: cries*

[@scorpion_7782]

8th grade :/

[@shaharunhaque6060]

8th...

[@CreativeClaudia]

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]

thanks professor schmohawk im forever indepted to you

[@isaac4283]

same

[@nazo288]

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

[@TechnoSan09]

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

[@absolutelytoxicc8328]

More helpful than the math book! Thank you.

[@tyler9703]

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

[@vboys1gaming43]

same

[@Mr-Intellectual]

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]

That helped so much, much appreciated

[@BrendaMLKovacs]

He did kind of hop to that really quick.

[@mccnology]

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

[@miale4357]

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

[@goldenwood5088]

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

[@dogmeat9825]

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

[@Max-dw7is]

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

[@davidrizer7230]

Your way better than my teacher

[@yerks40z]

i swearrr

[@aj_the_gr8t]

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

[@kexen2764]

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

[@gabby530]

wow a video teaches better than my math teacher

[@maxradebaugh7299]

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

[@GachaWolf-rt9sw]

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

[@ivanhenricksinder]

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]

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

[@desodabbster0475]

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

[@redstonetheanimecat3390]

You have no idea how much this helped me thank you

[@ICEE783]

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

[@Kulooluk]

This video helped me more than the school provided website💀

[@ajoke_i.p.6841]

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

[@misterwill3625]

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. 👏🏾

[@alanakhan3845]

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

[@evanio305]

Yo same

[@WraithSolar]

Here because my teacher is horrible at explaining things

[@hilol2967]

Avajbird123 yes

[@csamuraii1429]

That's true!

[@Moon_Light123]

Same

[@Kyleschoolaccount]

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

[@dshehri]

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

[@notsocooldude7720]

Wow this is very helpful. Thank you

[@ONEMANCREWFILMMAKING]

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

[@energy-tunes]

weirdly high quality animations for 2011 vid

[@kamleshchaturvedi3033]

This video at same age as me 💀

[@Youssef-he1mr]

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

[@finkigaming1735]

Thanks a lot I'm 9th studying for exam.this vedio is uploaded what I was born I mean the year

[@kebusan9531]

This helped so much! Thank you!

[@charlesfreidenreich1516]

@@saimhussain119 fuck off

[@maryamahmad9762]

@@saimhussain119 lol pretty nice graphics for a 8 y/o video

[@ellabrendairianto5211]

This helps more than school

[@gum9871]

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

[@JordyIsDone]

This is so much better than listening to my teacher.

[@jamesshouserr7245]

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

[@StrawcherryPie]

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)

[@StrawcherryPie]

Looks more complicated than it is

[@clonewarsproductions6454]

What grade work is that?

[@markelbatone5819]

@@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

[@salomekalu8080]

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

[@crystalwu7400]

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

[@khatijamaheen9711]

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

[@khatijamaheen9711]

Thanks!

[@joemorrison4143]

Anyone know what repeating decimal could equal an integer?

[@luzcgarcia98]

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

[@periodpoo2811]

*similar

[@mercnation1442]

@@periodpoo2811 simpler*

[@bimalachimariya4626]

@@mercnation1442 😂

[@Xbendoesbricks]

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

[@8x3gng]

bro is a hero he saved me from getting grounded thx

[@Ant-clan]

I skipped 8th grade math and I’m in 9th grade math now this helped so mich

[@Ant-clan]

I’m in 8th grade right now

[@samsneocyberera5293]

Oh my God thanks to this channel ❤️

[@jamaicaengnan7377]

thank you so much now I learn better to this guy

[@maymagtoles2591]

I am a 5th grader, using my grandmas phone. I am only here since I am probably going to join Mathematics Without Borders Winter Round, after my embarrassing loss at the Autumn Round of MWB. Pray for me.

[@Yoni_TheGOAT]

no

[@strangazer]

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!!😁

[@LiterallyHavik]

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

[@neonfishart]

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

[@broilostgulag7155]

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

[@mickodonnell890]

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

[@MendoMaya-it5us]

Who are see this video 2024❤😂

[@adruwgatte]

meeeeeeee!!!

[@hely3722]

this worked you are my favorite professor

[@The39889]

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

[@dinosaurman4151]

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

[@naveenchaudhary4072]

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

[@learningeverything8881]

Wah wah..

[@heartyu9306]

😂😂

[@nourhany4065]

Thanks a lot I really understood from you better than the teacher♡♡♡

[@grahamnelson2298]

ur so much better than my teacher

[@hamptonavv]

fr

[@IsaacOwusurealmadrid]

Bro this saved me lol

[@owethuzulu9489]

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

[@skynation5725]

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

[@angielgavz7873]

thank you so much you answer my problem and my assignment

[@HarleyPupper]

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]

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

[@maeshamahmud]

Just divide by 9

[@خييينينممميميميمي]

Maésha divide what by 9 ?

[@ajitkumar5384]

Wtf

[@habibahassouna5145]

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

[@avia4933]

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

[@invalid5777]

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

[@BrendaMLKovacs]

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.

[@anujarora0]

Wow sir thank you and keep doing this great work

[@rawadhassan4270]

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

[@Aespafanbutsmartidk23]

TYSMMMM, I FINALLY UNDERSTAND OUR MATH LESSON 😭😭

[@hanzkhianmorato2677]

Same

[@jesseakwaja]

Thank you for this! That 5 did the 0 dirty.

[@josephineaquio6480]

this actually helped me.

[@hankhill6166]

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

[@invalid5777]

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

[@xenos9533]

he just helped me with my finals lol

[@MiNiBeats5]

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

[@SuperFiremaster22YT]

how was the test?

[@gabby530]

Hajid Alkindi right 😂

[@MiNiBeats5]

Hajid Alkindi, it was alright.

[@allenthakur5757]

Anna ungle

[@rajkritisinghtakshak1640]

I loved this video . Quite descriptive

[@ajitkumar5384]

I am albert einstein

[@DanCarloDioquino]

Ik already at 9th grade finally understood this

[@yor-homan]

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

[@k3ara_e]

This was really helpful .

[@lordlopikong6940]

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

[@leahdemaertelaere6044]

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]

I’m 14

[@directionalHatter]

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

[@boneyarrrd]

@@directionalHatterlmao like why is there so much agression

[@eialavaeu]

bruh, you with the blue pfp is so annoying

[@quranalkareem9064]

Thank you so much you saved me from getting a f on my first assignment and ruining my grade for the whole quarter.

[@johnezkiel]

Grabe pre yan yung taung sa assigment ko thank you

[@kayaacee]

what if it’s a negative number

[@pepperybread738]

Then it is negative

[@airflare1638]

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

[@tanyazak33]

Yes just ignore and put itbackwhen you solve it

[@mingthemerciless834]

Thanks!! This video was really helpful and informative

[@csamuraii1429]

Thank you for this it was very helpful!!!

[@aprilsmith8834]

What if the number for the repeating decimal has a zero after the decimal point then has the repeating numbers ? For example 1.024242424..

[@MyWhyU]

Always start by asking yourself how many digits are contained in the infinitely repeating sequence. In the case of the number "1.024242424...", the sequence of digits which repeats is "24" and this sequence contains two digits. Therefore we must multiply by 100 to shift the number over two digits to the left and then subtract the original number. If we call the number x we then have 100x - x = 102.424242... - 1.024242... or 99x = 102.4 or x = 102.4/99 or 1024/990. Factoring the numerator and denominator, we see that the numerator and denominator both have common factors of 2 and 3. Cancelling out these factors in the numerator and denominator gives us the fraction 169/165. We can check that this is correct by doing the division on a calculator, and indeed, 169/165 = 1.02424...

[@anastasiagyulnazaryan783]

I loved this. Wonderful.

[@KingGhostG]

How do I know how to simplify like the last equation he made how do I get to the point I know is 1/7

[@anoosha.e]

Because once you get a prime number, you can’t simplify any more. I hope that’s the answer you were looking for because I had a stroke trying to understand wym 😭

[@JodiAmanda]

Divide the numerator and denominator by the greatest common factor which is 142,857.

[@user-hk9xl2pg2g]

Just try to divide 1/7 and test it

[@lobsterfucker]

Point of recurrence. When you have to do this with more than 1 recurring digit, you have to multiply by: 10^n, n being the amount of numbers that it takes for it to start repeating ex: 0.142614261426... has an N value of 4, therefore we need to multiply by 10^4 (1000)

[@amralmaz]

What happens if you have a decimal where the first number doesn't repeat? What would you multiply that by? For example: 0.288888 or 2.1353535353

[@aliqeblawi9662]

Watch the whole vid

[@bandconcert2969]

Ali Qeblawi and?

[@wind_slayer6346]

It repeats once the repeating decimal ends just watch the whole video

[@muerto9496]

Just watch the whole friggin vid

[@jayveeye]

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

[@ifinallyfoundoutaname6656]

It can

[@monkeyme813]

it helps me a lot thanks 😃

[@ー_ー゙-b2u]

Why does 0.5555 changes into 55555? How to solve 0.22?

[@CantTouchMe7]

0.222*10=2.222 2.222-0.222=2 // 0.222*9=2 thats the same as: 2:9=0.222 and put it into a fraction 2/9