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

[@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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[@abzinhoo]

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Better tutorial

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really 👍

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

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[@Cognitoedu]

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

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[@sugi1992]

Me too

[@LIKVICC]

This guy is actually underrated! The way he explain the things is awesome!

[@sameerahfarooqi5326]

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

[@sfisoshamase8480]

Thank you your a lifesaver i know what to do now

[@Cognitoedu]

Glad to hear it 😁

[@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! 🤞

[@abzinhoo]

Oh

[@dealusion]

Perfectly explained yet again, thank you

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fr

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[@6lake809]

The best KZbin mathematician

[@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

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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!!!!

[@Angela2e5]

Good luck peeps for tmr

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[@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

[@stayingalive83]

Literal life saver 🙏🏼🙏🏼🙏🏼

[@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

[@anjaleedissanayake5187]

Thanks very much for ur efforts....😊

[@barbaralawrence8671]

Really great explanation

[@Belle_mer]

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[@AcademyofJannat]

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

[@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

[@ismailnadeem1708]

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

[@mumtazxxxx]

Great video!!!

[@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.

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[@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

[@QuantumRobloxion]

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

[@kvs70]

the way you made it sm easier ❤ thank you!

[@mariamrizwan1882]

W you are the most underrated youtuber ever

[@ethannsolomon-roberts3738]

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

[@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

[@z-zap9166]

THIS WAS GREAT! THANK YOU SO MUCH!!!

[@Superultramegaidk]

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

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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

[@MunazealNnaemeka]

This was really helpful thank you.

[@AcademyofJannat]

i discovered a more easier methodd and it is faster too

[@Sara-jn6jc]

this is amazing just learned it thank you!!

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thanks well explained

[@pbhello]

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

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Thank u so much,God bless u

[@jefffmon1750]

very good i find this very easy

[@catherinealepus8959]

This is interesting , thank you for simplifying

[@alwayscurious1593]

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

[@shalomashanut]

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

[@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

[@caavery]

Thanks, guys. This really helped.

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ur my favourite man ever

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wow thanks! its so easy now

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tysm this helped me a lot

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

[@arthurcoppin9679]

thanks this was really helpful

[@nylekang5941]

This HELPED ME

[@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?

[@y1xi._c]

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

[@juliettempiirirwe1324]

thank you so much for this

[@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

[@schoolaccount-x7x]

thx this really help alot

[@mawukotorkornoo4014]

Thanks 😊 🙏

[@andrewjg_]

thanks boss

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Thanks 😎

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[@emmadkareem5247]

Very good!!

[@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

[@Zllilx]

calculator 💀

[@gracekanagaraj1826]

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

[@danyaalmasood9274]

Thanks a bunch!

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[@nuralyserikov5853]

Thank you legend

[@nergiscurtis5020]

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

[@DigitalSolos]

in the last video u should if you want to convert a fraction into a recurring decimal it has to be over 9, 99, 999 so just use that logic, example: 0.951=951/999 😅😅😅

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Thx so much

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[@hafsashhafsash7706]

So easy 😁

[@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

[@botiromonov7342]

good way to find answer

[@bimbsaluko1087]

I just dont understand the subtraction

[@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 ?

[@kartikthemaster9464]

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

[@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

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1:30hours idk anything 6:19minutes Ik the whole thing

[@dehanjayasinghe1860]

WOW!! PERFECT...

[@fjdicjnslsj]

Gud vid

[@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

[@lowkeycam9151]

THANK YOUU

[@TutorialTube448]

How funny, your last example was my question.

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thanks

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ily bro

[@shuuderheendewy3421]

ninety ahh, ten ahh, ahh ahh ahh😂❤