Converting repeating decimals to fractions 1 | Linear equations | Algebra I | Khan Academy

[@BorisMediaProds]

Professor lecture : 2 hours Khanacademy : 4 mins

[@Basic-Tron]

Yeah, that's true (but a little bit of hyperbole there)

[@Basic-Tron]

Best : Khan academy

[@keylo6412]

this channel is so helpful specially in quarantine

[@elroietegete9732]

god i think the organic chemstriy tutor is better

[@potatotoes]

You said it.

[@nothankyou-ye4gt]

My teacher taught this for 1 hour and none of us in the class understood it. I found this video and sent it to everyone. And now we know how to do our math homework (for the most part) Thanks khan academy :)

[@artistic_mar]

do all of them have 9s in denominator

[@nothankyou-ye4gt]

@@artistic_mar what?

[@arandomperso4438]

@@artistic_mar u dum dum

[@artistic_mar]

@@arandomperso4438 im jokin ik how to do it LMAOOOAO

[@arandomperso4438]

@@artistic_mar yea sure...

[@IEYouthSlamTeam]

this voice of Khan Academy knows everything.

[@sunilbishnoi2321]

HeyAshlyn Elizabeth I'm from india n u wanna be ur friend would u like to be my far away friend

[@Benjamin-wc1rf]

Sunil bishnoi pervert 🤦🏼‍♂️

[@kishwerjahan1611]

@@Benjamin-wc1rf literally..😂😂

[@remigaillard9950]

@@sunilbishnoi2321 Pajit

[@xRaileenx]

Thank you! The explanation in my book makes no sense, so this helped a lot!

[@coolguypablo6935]

Pew pew I’m the grammar police

[@xRaileenx]

MLG Master okay?? What’s your point lmao. You’re going on MATH videos being the grammar police? Especially when it’s not even the grammar that’s the problem. Glad I’m not wasting my life away like you. Check your own grammar; you’re missing a comma. ;)

[@coolguypablo6935]

xRaileenx I sincerely apologize my friend. Stay safe and stay healthy.

[@pruhex4469]

its rlly helpful but...u forgot to tell them if what if they got 2 repeating numbers,example : 0.56565656... ok for everyone who dont know this stuff...if u have 1 repeating number, u get 10.If u have 2 repeating numbers, u get 100...soo its 1 repeating no.=10 2 repeating no.=100 3=1000 4=10000 5....and so on

[@dailytrainer483]

thanks dude!

[@shinoahiragiii5436]

then 125.565656?

[@iamnutlearning7619]

just add 125 in front of the fraction you get from above

[@katesandoval8126]

Thank you so much

[@agroed]

Thank you. That was my main question.

[@smellyeri]

Looking Down the comments section and I see a bunch of math geniuses arguing about this stuff,and I feel dumb cus I dont even understand enough to agree .lol.

[@salomekalu8080]

Bruh😂😂

[@ShaneKayy]

Agreed lol

[@maahi2275]

fr

[@hop3fulpuffin]

ppl in high school: thank god this is so much better than a lecture also ppl in high school: o its good i found this bcs i have finals tmrw and im gonna pass now me, an intellectual: [is still in middle school, is trying to enjoy summer, but has to do this bcs my parents say so and they still have power over me]

[@natg7832]

u r asian

[@margaritatoys8022]

Same tho like im home schooled(used to go to school) and summer is nothing special to me now cuz my parents make me practice doing math the whole summer even if summer is supposed to be a break

[@natg7832]

@@margaritatoys8022 ok that sounds painful lol

[@margaritatoys8022]

@@natg7832 Its not much of a surprise they made me do that cuz i have Ucrainian parents

[@natg7832]

@@margaritatoys8022 ok

[@migueleduardolabitag5525]

Thank you! I didn't understand my teacher's explanation then when I found this, I understood this lesson now.

[@timjones7774]

I don't do very good in math but these videos are so easy to understand and helpful!

[@busydude792]

I'm in multivariable calculus and I never knew this trick... awesome

[@HackedPC]

Yo. Let, x = 0.555..... 10x = 5.5555.... 10x - x = 5.555.. - 0.555..... 9x = 5 So x = 5÷ 9 😁😁 Algebraic method!!!!🍗🍕

[@kaeisokay]

thank you,you helped so much,and makes alot more sense then my teacher.

[@kpbc401]

For those that want the improper fraction to be a mixed number: With 11/9 take the denominator and divide it by the numerator. 1 with a remainder of 2 will be the answer. Keep the 9 as the denominator. The remainder 2 is now the numerator. Add the 1. 11/9 = 1 2/9

[@jesseakwaja]

There's a C-method like that.

[@mariacamilavega1720]

Finals are coming next week, thank god I found this video

[@shumilano]

Did u pass?

[@mariacamilavega1720]

@@shumilano I'm now a senior in high school and within 6 months I'll be in college. I indeed passed lol

[@susie28]

@@mariacamilavega1720 PUT. THE. CAP! God bless you :)

[@mariacamilavega1720]

@@susie28 Huh, where did I miss a cap?

[@premierstaffservices4712]

@@mariacamilavega1720 My son is doing this in 7th grade and I am losing my mind trying to explain this to him. What is math next year going to be like?

[@cecelolz101]

my teacher used this and it really help me and my fellow students! thank you!

[@hellothere9033]

same

[@jeremymiller4189]

I learned this by converting fractions into decimals until I started noticing patterns. I had no idea there was a way to figure it out through algebra.

[@axing4259]

Thank you this was much clearer than a lot of math sites I've seen

[@tsan8822]

Bro this video posted 12 years ago,for me that stuck at exercise for 2day this video is a life saver. Liked

[@MohaMMaDiN55]

Very very very satisfying. Thank you a lot. but is there another technical way to do that ? instead of assuming?

[@b0r3d_d]

Thank you so much! I have a take home test and one of the questions asked me what is 0.54 repeating and I was so confused at first but this helped me a lot!

[@cecelolz101]

this is 11th grade math right? Well im in 7th grade acc. math and it really helped understanding this stuff!

[@Rumba_Is]

Very understandable and very short. Khan Academy is the best!

[@infernotara870]

I don’t how teachers have jobs when you exist

[@penny1473]

Facts

[@good-dk2oi]

really Khan academy should take many subscribes and it is fast and easy ... I love it ❤

[@luigi231999]

A helpful shortcut. 1. represent each repeating digit by 9 and each non repeating digit by 0 in the DENOMINATOR 2. the NUMERATOR is the difference between the number formed by the decimal digits and the number formed by the non repeating digits E.g. 0.12555555555 = 125 - 12/900 = 113/900

[@Basic-Tron]

This guy (Salman Khan) is CRAAAAZZZY AWESOME!!! OMG to his way of teaching!

[@rosa6745]

Thank you!! U explain it a lot better then my teacher

[@thehappygardener4073]

Great!! Thank you!! I am going to use this in my class!!! Perfect explaination!!

[@nikolailic9958]

This is sooooo confusing, thanks for explaining

[@hance9300]

Your really helpful thank you 🙏🏼

[@whiteeyedshadow8423]

my maths teacher made this procedure seem so complicated when it was literally this easy thanks khan academy, yall pretty much carried me in 4-5th grade

[@spiderlily8789]

THANK YOU REALLY HELPFUL

[@vrtoabushyan2532]

I just took a advance class and ohh boy I'm regretting it it, but you know things will get better in life

[@rianbrew]

did it get better

[@shahedabdulrasheed]

Thank you so much because of you i will try to understand math❤

[@belleame8040]

Thank You so Much!

[@supertom2316]

This really helps me! Thank you!

[@itsFnNeil]

this is a really good way to teach it

[@girlsruled2279]

Me while finding answers for my math 📚 homework: see the 2nd video,*21 minutes* sees khan academy’s video,*4 minutes*, clicks it in a flash!

[@crackybonk7646]

thx. for the great help. before this video, I was behind in my math and now I am ahead!

[@Stlwartheart14]

really helped thanks!!!

[@monclipsfr]

man i understand this lesson in youtube more than my school, thanks man 😅😅😇

[@drei8612]

When u skip this video for 20 seconds You: what 👁️👄👁️

[@doranguyenn]

Thank you!! This is very clear unlike other videosss thank u!

[@jeremymiller4189]

The denominator of any fraction isn't infinity or any number constructed from infinity. For repeating decimals their denominator will be the product of some amount of 9's(9^x) times the product of some amount of 10's(10^y). Put that together and you get 9^x * 10^y. You also seem to be confusing the number of digits used to represent a number with its place on the number line. .3752 and 1232 are very far away from each other despite being made up of the same digits. (continued)

[@Xireal]

Thank you! I needed this for my assignment 😅

[@jeremymiller4189]

In the same vein pi and .777... are nowhere near infinity despite being infinitely long. This means you're able to do arithmetic operations on them. They're not infinitesimal either or else you wouldn't have those place holders to dig your feet into. 0.7777.... is between .7 and .8, between .77 and .78, etc. Infinitesimals aren't constructed from the top down like decimals are. (continued)

[@thomasberger8953]

Ing this helped wow I have a test on this tomarrow and I ain't that goo at it but know I get it well get it better then I did lawl

[@MrUncooldude]

THAANK YOU

[@evandooley1558]

Such a big help! Thanks!

[@smarthjirl3499]

I sometimes hate math but i got it i like it very much

[@sumaiyatasnim829]

This was really nice. Helpful.💯👌

[@geethanchandran6984]

You literally just saved my life

[@robbyflores16]

Nicely done! Thank you, sir.

[@ishan4980]

thank you sir it helped alot

[@sofiarosado2147]

This is great! Thanks so much!

[@MisterZimbabwe]

@Alexhastoes Ahhhh, that makes much more sense now, thanks for clearing that up! WAIT. Something doesn't make sense here. We just had a conversation on the youtube comments section that was polite AND intelligent. This would blow Rod Serlings' MIND.

[@morganbriggs]

thank youuuuu

[@ayamazloom4173]

It was so helpful ,thanks.

[@johnbob1266]

Thanks Sal Khan!

[@lostsky3631]

Thanks for the video 🙏can now convert repeating decimals perfectly 😅

[@Cyno7]

great vid, you always have practical maths vids

[@zakash613]

Does this work with not repeating decimals?

[@suhaibazmi7638]

Non repeating decimals are irrational. Irrationals can't be expressed as p÷q. I know it won't help now but I would like to you know what you are doing now

[@Xnoob545]

@@suhaibazmi7638 non repeating isnt always irrational 0.2 isnt repeating and isnt irrational

[@User-mv1hk]

@@Xnoob545 they thu is gol a ki chi wa no pun

[@cleidejanes8086]

if you have one recurring number (e.g. 0.7...) than the fraction would just be the recurring number over 9 (e.g. 0.7... = 7/9) this works for any number. (if you get 9/9 thats equal to 1)

[@alexi0186]

It’s a shame we can get millions of views on videos of people wasting money but ways kids can learn and improve get only a handful of views

[@mr.nintendo5516]

thanks it helped me lots

[@TheoryXI]

it does work with 9. The fraction is 1/1. [1 IS EQUAL TO 0.999...] Repeating decimals do repeat infinitely. That proof just works better with 9 because you already start with the fraction 1/1 which is equal to 1 and is equal to 0.999... And sorry if thats not what your asking...

[@shetty-m2j]

Hum good explaination

[@Tarastoy]

Cool, thanks

[@renojr.camporedondo701]

On on and on forever so true

[@nadaosman4248]

Thank you❤

[@adrianholness4138]

thx very much

[@keithlippard8155]

thanks

[@jeremymiller4189]

You can construct real out of Cauchy sequences composed of rational numbers. Any sequence that converges to 0 is 0 in the real number system and any sequence that diverges to infinity isn't a real number. The sequence that converges on 7/9 or .777... is neither of these so .777... is a real number.

[@yanmeiding7974]

Tysm! ❤

[@chronic_elite646]

Thanks so much 😊❤️😊

[@GoPickMyRice]

DIS AMAZIN DOE.

[@ernestmiguel4672]

tnx b

[@curious_corvid]

Do you always multiply by 10 or does it change depending on when/where the number starts repeating? I haven’t taken math in a while and need a refresher

[@analapruitt7948]

No you can do 10,100,1000 he’s just using 10 because it’ll be easier

[@Frosty_411]

Its currently 10:53 pm i hope this vid helps with my maths test lmfao (its tomorrow)

[@jeremymiller4189]

People don't say 0.999... is close enough to 1 so lets just use 1 every time. The two really are equal.

[@deanbaja]

This is way easier than what I just learned in Calc II -__-

[@dennyh8312]

My head hurts but I feel a lot smarter now 💻😜😜😜😜😜😜😜

[@turkle.]

If anyone sees this remember me as the latest comment so far

[@okpo2826]

Thx nice video

[@BigPokemonFan987]

thanks so much =)

[@CloudGOML]

That was amazing :O

[@wanwan8270]

What happens when you have 2 repeating numbers?

[@goofeybutreal4398]

❤👍🏿

[@OMEGAMOHAMED]

For all those who said 0.999999 equals 1, Guys I am sorry but it's not true, learn physics and you will understand there is a big deal of difference, otherwise we would say 0.88888 equals 0.89, the moment you start approximating you lose your scientific foundation, in a nutshell what I want to say is, this is a great learning method but it has a flaw and can't be claimed to be mathematically correct

[@neomiegailseverino1909]

Where did the (10x) came from? Im confused.. Please explain it to me..

[@xooGFXoox]

This is University stuff right here.

[@turkle.]

Pog champion

[@bravesquid6183]

pog

[@SoccerWizard]

That what I have trouble on

[@JadeStoneheart]

what if you have 2 non recurring numbers?

[@bryanna2295]

And what about simplifying??

[@kingsmountain777]

i got it

[@Plushipanda11]

Who's watching this in 2024 \/

[@griffin__sutek4958]

What about NEGATIVE decimals to fractions

[@ajamoore6540]

GASPING BADGER Yep it'll just be a positive because once converted to a fraction the negative will cancel out since a negative over a negative equals a positive

[@sharisseharris6147]

Yeah ok

[@ishowspeeddd1958]

3:32 you should have told us why u we’re putting 1.2 repeating when you put 12.2 repeating at first

[@ishowspeeddd1958]

Ok I think I get it now

[@rmtm9417]

Thank for the advice but how we are going to double check our work?

[@tsunamininja]

RMTM AJ calculator.

[@ariesfairies]

+RMTM You can double check by using the fraction that you got as a result, as a division. So for example, dividing 11 by 9, like in Sal's second example. It should get you the original answer.