How to Convert Recurring Decimals to Fractions (Proportions Part 6/6) #18

This video covers how to convert recurring decimals to fractions.This concept is quite tricky so feel free to watch it a couple of times.
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[@Cognitoedu]

If you’d like to practise the material covered in this video, check out our platform at www.cognitoedu.org - it's totally free, and has been built to make learning and revision as easy as possible. The main features are: - Lessons organised by topic, only the lessons relevant to your specific exam board and tier are shown. - Automatic progress tracking. Progress bars tell you what you’re doing well at, and what you need to spend some time on. - Practise quizzes so you can test your knowledge. You can quiz yourself on any combination of topics you like. - A huge number of fully-hinted questions that take you step-by-step through some of the trickiest calculations & concepts. - A comprehensive bank of past exam papers, organised both by year, and also by topic. Amadeus & Tom

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[@Cognitoedu]

Ah thank you so much!! 😊

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Bro has acctually saved my skin those I smt ruffled with a lot but he explains it better than teachers lol

[@mercenarytao-dc]

Hm

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[@SILX]

How is this difficult? the way you explained it made it so simple

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Ya you 'r right

[@Enchxnted_fnm]

Better tutorial

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really 👍

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why u lying

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its still confusing but he still made things easier to understand ig

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This video was brilliant! Helped heaps with my homeschooling. You explained it in a way that was clear, informative and easy to follow.

[@sirsparks7517]

screw the 10 people who disliked😤! he made it so simple and understandable! this helped alot.. thanks man ur a GOAT

[@Cognitoedu]

Glad you enjoyed the video even if others didn't 👍

[@Hardit_Gamer69]

I just found this channel at the right moment, I'm recently in 9th class and figured you make science and maths educational content for 9th grade, i think God wanted me to find this channel as i wanted a channel to keep studying in my summer vacations to be 1 step ahead of my class

[@sugi1992]

Me too

[@sameerahfarooqi5326]

I love Math Genie, but their video of Recurring decimals to fractions got me confused This video is great! Thanks!

[@gracekanagaraj1826]

Bro my teachers were horrible but this 6 minute video helped so much, ur a life saver my exam was a week ago and I got an A+, this literally helped so much, you deserve over a million subs

[@sfisoshamase8480]

Thank you your a lifesaver i know what to do now

[@Cognitoedu]

Glad to hear it 😁

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[@dealusion]

Perfectly explained yet again, thank you

[@srijantamang4687]

Bro thank you so much, I have my maths yearly in 6 hrs and I was revising indices and I came across this video and it explained it so well, thank you.

[@Cognitoedu]

Best of luck Srijan! 🤞

[@mercenarytao-dc]

Oh

[@6lake809]

The best KZbin mathematician

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After 4 years of being on your video just saved me a lot of trouble thank you man🙏🏽

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Thanks sir, ur very helpful!! Ig this is the first time on KZbin, that I have seen a study vid and commented with a “sir”, so you are just toooo good!!!!

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[@Cod12345]

fr

[@Teymur.17.footballl]

Ye me too my hw is saved

[@MusicMakesTheMan_]

I've come back after mastering this a bit more now and it's still tricky for 1 main reason: 1000e - e = 999e and that's how the fraction becomes 473/999 you basically treat the e as a 1 when subtracting it from 1000e and that's important to remember. But also, another quick thing you can do to save yourself some time; when you're trying to get the same amount of digits in whole form as the decimal by multiplying in factors of 10, instead of doing it x10 multiple times until you get those digits... you can just look at the place value of the decimals and multiply by that amount. E.g. 0.473... 473 ends in the thousandths column, so you multiply by 1000 right away instead of 10's 0.27..... ends in the hundredths column, so you multiply by 100 to equal 27.27.... I'm sure lots of people already knew this, but it saves you time if you didn't know

[@Angela2e5]

Good luck peeps for tmr

[@anjaleedissanayake5187]

Thanks very much for ur efforts....😊

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I am proud to tell you, your explanation needs a chef kiss ❤

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[@MasterRoyals]

Thanks Cognito the way in which you explained it made it way more simpler and easier and also helped me in my Year 11 IGCSE academic year thanks a lot once again

[@abibatmomoh5663]

Thanks for the teaching

[@lisanabil473]

am I the only one who noticed this but incognito means unknown and their channels name means known there for to be known and they hell are being known and they are helping thousands I dare say millions of students in their life with 5-minute videos thank you for your effort you are the reason I passed

[@lisanabil473]

@notsomeone special no I'm still in grade 9 just normal exams though you?

[@lisanabil473]

@notsomeone special i hope it went well was it hard

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you are amazing my test is 2 weeks from now and i think i am going to do it well thank you

[@kvs70]

the way you made it sm easier ❤ thank you!

[@barbaralawrence8671]

Really great explanation

[@davidprobert4797]

Maths exam tomorrow god bless this man👏

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Great video!!!

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Guys that guy need to hit the one million subscribers

[@ismailnadeem1708]

Bro, i was stuck at a problem like this from 3 days now thanks to you i know how to solve

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[@Revireee]

i discovered a more easier methodd and it is faster too!

[@mariamrizwan1882]

W you are the most underrated youtuber ever

[@QuantumRobloxion]

Thanks alot i was so confused about this but you made it so simple

[@joan3654Choi]

Very helpful 👍👍👍

[@z-zap9166]

THIS WAS GREAT! THANK YOU SO MUCH!!!

[@errorunknown9964]

This was so helpful 😊😊😊😊😊😊😊😊

[@ethannsolomon-roberts3738]

thanks this helped alot i forgot how to do this but now it makes full sense

[@tani6883]

Here's a easier process . . 0.474 as fraction We will the the full no. Then the no. That do not have recurring we will subtract from that no. Underneath that for each recurring one 9 will come I.E. --> 474-0 _______ 999 Ans 474/999

[@shanuthawickramasinghe3221]

What Cognito told the teachers: Time to retire. Students dont need you anymore. My channel has everything they need to pass their exams

[@ibbi_ibra5096]

4:23 wont 100r be 23.23 instead of 23.3?

[@Cognitoedu]

Not in this case, because it’s only the 3 that is recurring, not both the 2 and 3!

[@abdulrahmanakinade2879]

@@Cognitoedu shouldnt the recurring sighn be on the first three on the the 23.3 since it moved up ?

[@GDPlainA]

@@abdulrahmanakinade2879 the recurring symbol should only be placed on decimals. Since the first 3 is a whole number, the next 3 will have the recurring symbol.

[@gracekanagaraj1826]

My guy 2 is not recuring

[@Superultramegaidk]

He explained it so much better than my maths sir😭😭😭

[@Sara-jn6jc]

this is amazing just learned it thank you!!

[@lawl3869]

ur my favourite man ever

[@Skamza_on_earth]

Thank u so much,God bless u

[@dixincider7817]

thanks well explained

[@victoriaread6104]

Hey Cognito, are there GCSE maths videos for higher or foundation

[@niktambar5324]

I think higher :)

[@decryptroblox]

It depends on the curriculum just check the spec you are doing, I am doing edexcel IGcse maths a higher tier so these are basically irrelevant because the book has more random stuff in it and even calculus whilst gcse and IGcse Cambridge are normal

[@syedanwershah1488]

In the first step, how come you get 23.3 (recurring) when you multiply 2.3 by 10. Shouldn't you get 23? I will appreciate if you explain that bit.

[@ren952]

Recruiting just means the number goes on forever, so the space after the decimal point will always have a three no matter how much you multiply it

[@AnnoyedBowlOfSpaghetti]

It isnt 2.3, it is 2.33333333333333 and so on. The dot represents the number going on until infinity

[@yourlocaljuniorduck]

A simpler version of this is lets Say you have 0.6 (recurring) add 6 in the top as the fraction, and if since theres only one number after the decimal you will add one 9 if you have more then one let's say .27 you add two 9 for the bottom number and if you can reduce it (I recommend TI-30Xa calculator) using the a b/c button and then clicking the = button to simplify it

[@MunazealNnaemeka]

This was really helpful thank you.

[@Revireee]

i discovered a more easier methodd and it is faster too

[@Teymur.17.footballl]

I was sick today so I could come to school meaning I don’t know the topic thank you very much for explanation

[@aa-qi2it]

wow thanks! its so easy now

[@user-zj1zm2wx3h]

yk what im subscribing bro this vid is excellent

[@pbhello]

the best video that i've seen on this topic. thank you!

[@ޏ.ރ]

0:23 - 0:42 the number is 0.473473473... and so on "A dot above the first and last digits that recurr" why can't there be dots on top of all those three numbers? Why just the first and last? They're all recurring right? How am I supposed to know 0.4' 7 3' is 0.473 *473473* instead of 0.473 *4343* ? Only 4 and 3 were dotted so I'm a bit confused. Again many thanks!! 🙏🙏

[@sexistatheist6464]

You only put dots above the first and last digits which recur, because that's how things have historically been done in maths. The idea behind that is to show where the recurring sequence begins and ends... and if you recognise that the dots represent the beginning and end of a sequence, it can be taken as a given that every digit in-between the ones with dots above them are also part of that sequence. This can also save time, since if you have to write a long sequence of recurring digits, you would need to write alot of dots as well using your proposed method, whereas the standard practice allows you to show where the sequence begins and ends with just two dots. No will stop you putting dots above all the recurring digits if you want, but you could lose marks in an exam for that, since that's not the standard practice. If you're having trouble making sense of it, just think of the two dots as 'bookends' to the recurring sequence.

[@catherinealepus8959]

This is interesting , thank you for simplifying

[@exolz8990]

tysm this helped me a lot

[@renukasreenivas-gp1ye]

I have a worksheet to complete and its due tomorrow thats the only reason i am here😅😅

[@alwayscurious1593]

Thanks alot it got clear now. will you please solve 9.019 to fraction where dots on 1 & 9

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IM GONNA CRY I FINALLY UNDERSTOOD IT JAJAJJAJA

[@r3lixz]

THIS IS AMAZING I LOVE YOUR VIDS THANK YOU!!

[@Madmark50484]

for purely recurring decimals, wouldn't it be easier to say just make the numerator the recurring decimal and make the denominator a 9 for a every digit of the numerator?

[@shalomashanut]

amazing your video really help you talked about what I needed thanks

[@mawukotorkornoo4014]

Thanks 😊 🙏

[@Tessa.M1]

Gosh thee best thank you I now understand 😢

[@arthurcoppin9679]

thanks this was really helpful

[@andrewjg_]

thanks boss

[@Sara-m2q5s]

How about if the left side of the decimal point has number instead of zero , how do you convert into fraction ????

[@theor3yn]

well these are recurring decimals so that wont apply

[@nylekang5941]

This HELPED ME

[@schoolaccount-x7x]

thx this really help alot

[@juliettempiirirwe1324]

thank you so much for this

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Thanks 😎

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Thanks a bunch!

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I felt so stupid before this video and now I'm a genius

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OMG HOW LUCKY COULD I BE (THE SECOND QUESTION IS THE QUESTION I WAS CONFUSED ABOUT IN MY REVISION SHEET FOR MY TEST) YAYAYAYAYAYYAY

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[@emmadkareem5247]

Very good!!

[@AnasAhmed-s1k]

Sir, in 0.473, 7 is also repeating, so why didn't you put the dot above 7 ? you only put the dot above 4 and 3, why ?

[@KRuchika]

Because the dot notation only should come at the first and last digit

[@gracekanagaraj1826]

It is because you put the dot on the first number of the pattern and last number so automatically 7 is also in the pattern

[@caavery]

Thanks, guys. This really helped.

[@hriddhokhan3468]

❤❤❤❤, Excellent, tyyy 😘

[@nuralyserikov5853]

Thank you legend

[@nergiscurtis5020]

You are the best! **********

[@shuuderheendewy3421]

ninety ahh, ten ahh, ahh ahh ahh😂❤

[@fjdicjnslsj]

Gud vid

[@loisfenton378]

not sure how your meant to know what number comes after when multiplying each time. for example: how do you know that 4.734 x10 makes 47.347

[@gracekanagaraj1826]

Cuz thats the rule in Maths, u should have learned this earlier

[@hafsashhafsash7706]

So easy 😁

[@MusicMakesTheMan_]

can anyone explain how dividing 21 by 90 does not actually do anything different to the 21

[@gracekanagaraj1826]

because its a fraction

[@videovideoyeah]

To make it into a fraction

[@MusicMakesTheMan_]

thank you

[@gracekanagaraj1826]

@@MusicMakesTheMan_ No problem man

[@botiromonov7342]

good way to find answer

[@onlyskincaree]

LIFE SAVER TYY

[@minecraftlovaaa]

How did you know you had to put 473 next to 999r?

[@maryamali6521]

Because that's the value he got when he subtracted the bigger r value with the smaller one

[@KeynesOdhiambo]

Thx so much

[@dehanjayasinghe1860]

WOW!! PERFECT...

[@Frododoggins]

What is the question says express 0.6 recurring as a fraction of

[@gracekanagaraj1826]

r = 0.6 (recur) x10 10 r = 6.6 (recur) x10 100 r = 66.6 (recur) larger - smaller = 100 -10 = 90 66.6 - 6.6 = 60 60/90 = 2/3 (/30 btw)

[@gracekanagaraj1826]

sorry for the super late response, didn't see this earlier

[@NAGISEISHIRO-j6f]

​@@gracekanagaraj1826why did u use the second method? Aren't u supposed to use the first method since the recurring number is just to the right of the decimal point?

[@Ranjan-g5n]

Real g so got it easy now after

[@harrisonhasit6717]

If i got the second answer as 23 over 99 is it still right

[@sjcreation235]

In the second math you did how its 23.3 ?

[@sgl-03]

because r = 0.23 recurring and so 100r is 100 * 0.23 is 23.3

[@hyx6817]

thanks