Adding and subtracting algebraic fractions | Higher GCSE | JaggersMaths

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How to add and subtract fractions containing algebra
Other related videos:
Adding and subtracting fractions and mixed numbers: • Adding and subtracting...
Simplifying algebraic fractions: • Simplifying algebraic ...

[@eng3g3capetown32]

Thanks I was confused because of the way my teacher explained but now I understand it properly

[@BigRedGQ]

i loved the way you explain it, so clear and easier to understand. Thanks so much.

[@ReisseT]

This really helped me click mentally with the concepts. Thank you so much for your explanation.

[@TheTrueAnimatedmindMan]

Thanks,you made me end my confusion and I appreciate it

[@NotVisigoth]

My words can't describe my gratitude I'm so thankful! 😊

[@exulqnsis..]

thank you so much my teacher complicated this all for no reason at all

[@masterhalim8263]

Thanks for the clear explanation. I appreciate it.

[@nonqabajinikwa5152]

Very helpful thank you so much I spent 20mins looking for this type of video

[@liamdacre1818]

The video was great. You explained everything really clearly and I found it easier than I thought it would be

[@abramsmunyangiri1395]

Thank you so much but what if you have three fractions instead of two

[@Bright-Maths]

abrams Munyangiri You would need a denominator that is common to all three. If they are numbers for example... 2, 3 and 5 are the denominators, then the lowest common multiple is 30 so we would use that. If the denominators are algebraic expressions it’s gets more complicated. One to ask your maths teacher to show you!

[@abramsmunyangiri1395]

@@Bright-Maths thank you, l have a test tomorrow so l am studying your videos are really helping

[@mubschannel8007]

@@Bright-Maths you should do a video in that because I also wanna know

[@chair8401]

@@mubschannel8007 its easy

[@mubschannel8007]

@@chair8401 then do it

[@chris_summer9840]

My teacher gave us a whole long explanation but now I understand so u deserve a like

[@greggfresnillo6538]

great explanation! i just wish you could write X like a normal X to avoid confusion :)

[@Bright-Maths]

In maths, we draw a curly x to avoid confusion with the multiplication sign.

[@ninjaking7256]

She explains this better than my teacher

[@dahaboalasow-rl3bk]

I liked this way that you are explaining it

[@den-12345-k]

Thanks for helping mee respected teacher 🙏🙏❤️

[@aairahbalouch]

4:42, i know i sound stupid asking this but how did u end up with 3x +4 ? i don't really understand how x - 4 plus 2x - 8 equals to 3x +4. If you could explain this to me that would be great

[@Bright-Maths]

It’s x - 4 and 2x + 8 on the numerators which equals 3x + 4.

[@flakykrills8423]

I was lost at the second question

[@sripavanchunchu5735]

Even I was

[@halasabil]

Thank you so much , you explained it so much better than my teacher 🙏

[@ninjaking7256]

I also get confused on the plus and minuses can you make video addressing it pls

[@ayatothoma1949]

see if there a if there is a negative sign in the middle and after the digit the its plus for example 4x+2-2x+4 then since its -2 and +4 and we should write 4x+2-2-4 as ++ is + , - - is + , - + is - , + - is - hope this helps PS am bad at explaining

[@renaif5601]

i dont understand the second one. where does the 4 come from

[@melissakekana]

Thank you so much Ms.. 🙏

[@yumethdalpathadu8283]

Thanks

[@mansoorshahbaz31]

Impressive 😁🤩

[@jgal7979]

thanks; very helpful

[@Official_ukc_]

Thank you ❤

[@magnetcrowd1415]

Thanks mam for clearing my doubt love from india 🇮🇳🙏❤️

[@ConnorVanDyk]

Thank you! Very helpful :)

[@itzmrelite]

legit taught me more in 5 minutes than 2 hours

[@ElizabethMwila-k1c]

Thank you very much professor

[@prateekpal9958]

Thanks for making this vedio

[@kxiii33]

THANK YOU SO MUCH YOU HELPED A LOTT!!!!

[@craigallison4270]

I still don’t get how u got 3x + 4 for the second question

[@Bright-Maths]

On the numerators, we have x - 4 and 2x +8 which in total gives 3x + 4

[@exoticmasteryt9557]

U r the best , I was very confused by my teacher and she explained this lesson in 2 hours and u have summed up this lesson in less the 5 minutes..OMG. NOW I CAN SOLVE CORRECTLYYYYYY ❤🤍❤🤍❤🤍🤍🤍🤍

[@BobBob-uv9fq]

Aaah I see this is higher level ,phew although I can just about do them 🏴󠁧󠁢󠁳󠁣󠁴󠁿😃🙋‍♂️

[@SNBEATZ-v1f]

Thank You

[@yashpratapsingh6300]

It works

[@queennowases2431]

Thanks😊❤

[@user-bd1ic1mi6e]

Thanks🌹

[@learningwiththepassleys5688]

Just subscribed to your channel and clicked the notification bell...

[@suckerforjayke]

I didn't understood what she meant by making 3x+21 to 3x-21. 5x-20-3x+21/15 would still have 2x-41/15 as an answer since -20 - +21 is equals to -41

[@Bright-Maths]

Because you are subtracting the second fraction, the numerator (3x + 21) becomes (-3x - 21). If you only make the x’s negative and leave the 21 positive: (-3x + 21), you will have: 5x - 20 - 3x + 21 = 2x + 1 so you get the wrong answer.

[@wabbit2257]

@@Bright-Maths why did you change the sign?

[@samira7877]

Hi miss jagger it's helen from l7 I found ur yt channel

[@sonata6863]

Very Well Explained, Thank You So Much :D

[@ManojKumar-vs4dv]

Nice question

[@Shortsman_12]

Hi i have a question could you simplify 3x+4 divide by (x+4)(x-4) to 3 divided by x-4. This is because you cancel out the two x+4’s

[@Bright-Maths]

Hi there. No you couldn’t because x + 4 isn’t a factor of 3x + 4. 3(x + 4) = 3x + 12.

[@Shortsman_12]

@@Bright-Maths Ok thankyou for replying so quick considering this video was 4 years ago or longer.

[@learningwiththepassleys5688]

I like this topic.I do maths on my KZbin channel too. Great lesson!

[@mantosh56]

I HATE this topic = =

[@_Guessy]

@@mantosh56 IKR

[@star_apocho7868]

thank u for such a life saver video but cani ask how did we get 3 as a numerator in second question

[@Bright-Maths]

We have 2(x + 1) - (2x - 1) on the numerator. This simplifies to 2x + 2 - 2x + 1 = 3 The reason we have a +1 on the end is because we are subtracting negative 1 which becomes add one.

[@abdishakuurali211]

Hi, i try question 2 i found 1 divided by (2x-1)(x+1) it is correct

[@Bright-Maths]

No unfortunately. You should have a 3 as your numerator. You have 2x + 2 - (2x - 1) = 2x + 2 - 2x + 1 (double negative on the 1)

[@abdishakuurali211]

@@Bright-Maths ooh my bad thanks for ur help ❤

[@summertime3071]

THK soooooooooooo much

[@Sara-zv9lx]

anyway thank you!

[@prac-wv8jt]

cheers la

[@guyinblack5037]

Thanks you saved me

[@deeptikaur220]

Hi thanks for vid it rlly helped but for when you try the second example, why are you adding 2x+1, wouldn't it be 2x-1? I'm so sorry but I'm kind of confused for that

[@Bright-Maths]

Hi there - it’s because the second fraction is being subtracted. So we are subtracting 2x - 1. This becomes -2x + 1

[@juanlomban204]

in the second example, why did the 1 transform in x - 4?

[@Bright-Maths]

We are multiplying the numerator and denominator by x-4 to get the common denominator of (x+4)(x-4)

[@isaacng4734]

for the first question why is it '5x - 20 - 3x - 21' and not '5x - 20 - 3x + 21'?

[@Bright-Maths]

Because you are taking away 3x + 21. - (3x + 21) = -3x - 21

[@isaacng4734]

Ohhh I see thanks

[@marvinbaesa228]

Why does the 21 in @2:37 needed to be negative?

[@Bright-Maths]

If you look in the comments “kei” asked the same question and I responded

[@immcx7640]

bcs beside the 3x+21/15 was negative, so 3x(+)21 become negative. In others simplify you must change it, here's the formula to let you know what am i talking about the change of negative and positive. negative(-) negative(-) qual positive(+) positive(+) positive(+) qual positive(+) negative(-) positive (+) qual negative(-) positive(+) negative(-) equal negative(-) Hope this can help ya!

[@user-kf5mq7qp8e]

I dont understand the last bit😢

[@fullmindstorm]

Hopefully after 8 months you learnt how to add and subtract algebraic terms so you could understand that last bit. 😊

[@incognitooooooooooooo123spy]

thanks sm this was v helpful

[@Satoshi_sab]

at 5:53 the second question at the end how did u get it from 2x-1 to 2x+1

[@Bright-Maths]

Because you are subtracting the whole numerator of 2x - 1. So -(2x - 1) = -2x + 1 . - - 1 = + 1

[@Satoshi_sab]

@@Bright-Maths so when u expand the brackets does it change to addition

[@Bright-Maths]

@@Satoshi_sab Yes essentially. -(2x - 1) = (-1 x 2x) + (-1 x -1) = -2x + 1

[@wabbit2257]

thanks alot but I am confused why you changed the sign from (-) to (+) on the first equation.

[@Bright-Maths]

Because you are subtracting the second fraction, the numerator (2x - 1) becomes -(2x - 1) = -2x + 1

[@themaccabees2219]

Where did you get the 21 in the first part

[@Bright-Maths]

When I expanded the bracket 3(x + 7) Which is 3x + 21

[@miguellee5896]

3:08 may I know what is the point of telling us that 6 x 8 is 48? I do not seem to understand that part as no part in your equation involves the use of 48😅

[@Bright-Maths]

Hi there I am referring to when you add regular fractions with denominators of 6 and 8 for example, you may use a common denominator of 48, found by multiplying your two denominators. Then we apply the same technique with algebraic fractions.

[@bikku945]

In school lvl just do cross multiple 😂😅

[@ADNZ5442]

Where dose 20 and 21 come from?

[@Bright-Maths]

From expanding the single brackets on the numerators. If you need help with expanding brackets watch: kzbin.info/www/bejne/n6i3qoSumteDq6c

[@saminsarafimov6373]

What's x-38/45?

[@firdausashir207]

This really helped,thank you

[@hannajemimah]

Where did you get the three x from

[@Bright-Maths]

Can you let me know where in the video this is please?

[@irfanqaliny1677]

one question why did you minus 3x-21 why not plus???

[@Bright-Maths]

The question asks you to subtract the fractions so once you have a common denominator, you need to subtract the numerators. This is (5x - 20) - (3x + 21) = 5x - 20 - 3x - 21 ...

[@Bright-Maths]

@Max Gulyaev Yes!

[@faisalawan3851]

Why does 3x+21 become 3x-21 when combining the fractions?

[@Bright-Maths]

Because you are subtracting the second fraction, the numerator (3x + 21) becomes (-3x - 21).

[@user-og5di6zc8z]

i cant understand it clearly tho

[@worrenworren9762]

Can you please help me with this X/9-x/3+x/6= In single fractional expression

[@Bright-Maths]

Sorry it’s hard to read your question. Is it x/9 - x/3 + x/6 ? Three separate fractions? If so, the common denominator we can use is 18 so make all the denominators 18 as your first step

[@worrenworren9762]

Yes it's 3 separate fractions

[@worrenworren9762]

What's my next step

[@worrenworren9762]

Can you please make a video to explain

[@Bright-Maths]

Worren Worren sorry if you need detailed help please ask your teacher I can’t make a video on every skill

[@chair8401]

you didnt factorize using the foil method in the 2nd question

[@Bright-Maths]

The “foil” method is used for expanding brackets not factorising. And they don’t ask you in the question to write it in any specific way so I don’t need to expand the brackets on the denominator (but you could if you wanted to)

[@chair8401]

@@Bright-Maths ohhhhhhhhhhhhhhhhhhhhhhhhhhh ok because i thought it was used for factoring

[@chair8401]

@@Bright-Maths and thanks for the explanation, appreciate it

[@Calebarendse839]

I understand everything but can someone tell me why the +21 became-21

[@LannaHooper-pv6ue]

How did the +21 become -21 at the end of the first question?

[@Bright-Maths]

Because you are subtracting the second fraction, the numerator (3x + 21) becomes -(3x + 21) = -3x - 21

[@yourstruly3924]

6:19 we have 2x-2x right the other part is positive 2-1 so how did you end up with three?

[@Bright-Maths]

It’s not -1 it’s +1 2x + 2 - 2x + 1 on the numerator

[@yourstruly3924]

Okay. So how did the 2x-1 become 2x+1? I'm genuinely confused I'm studying for an exam on Thursday. I'm sorry I'm not trying to bother you.

[@Bright-Maths]

Because we are subtracting the second fraction. So it’s - (2x - 1) which becomes - 2x + 1

[@yourstruly3924]

@Bright-Maths oooohhhh, okay. So the bracket was subtracted as is... okay. I removed the bracket, and that's why it remained negative. Thank you 😊

[@kaceygrande]

Where did you get the 20 from?

[@Bright-Maths]

When I expand the single bracket on the numerator, we have 4x5.

[@laferrarigamer8511]

How does number one on the ñast question turn into a positive

[@Bright-Maths]

Because you are subtracting the second fraction. So on the numerator we have - (2x - 1) which becomes -2x + 1 (if you subtract a negative it’s the same as addition)

[@worrenworren9762]

X/3 - x/2 - x/4=

[@stream3261]

Im not gud at maths but I understand this a bit

[@stephennicholasmartin6192]

Where did you get 20 and 21 from

[@Bright-Maths]

When you expand the brackets on the numerator, you get 5x4=20 on the first fraction and 3x7=21 on the second fraction.

[@amirmohamed2128]

good

[@izzatfawwad5127]

fhzahzhj

[@choppa7321]

good. Mon 16sep 5:33 pm Aus. this is my quote

[@CalvinOkoth-r5y]

We're did 2 came from

[@lookingforahookup]

What is that? 1:11

[@DojoWaizepa-od1fc]

Please next time try to take off the auto words on the screen it's kinda blocking the working out.. .but otherwise thanks allot❤💯

[@Bright-Maths]

I’m not sure what you mean by auto words? I can’t see anything on my view so perhaps it’s a setting you have on?

[@fo4ozo-brawlstarsyt295]

At 5.00 can’t you factorise 2x+8 to 2(x+4) and cancel bottom and top?

[@Bright-Maths]

Fo4oZo - Brawl Stars YT That would take me back a step to where I started. With adding fractions we are trying to get the denominators to be equal first by finding an equivalent fraction.

[@fo4ozo-brawlstarsyt295]

Alison Jagger oh ok thanks also is it possible you can go over pass papers like for aqua

[@fo4ozo-brawlstarsyt295]

Aqa*

[@Bright-Maths]

I struggle to find time to create these videos now as they do take quite a while to make. But there are other teachers who have gone through past papers on KZbin if you have a search.

[@fo4ozo-brawlstarsyt295]

Alison Jagger oh ok thanks

[@bubuadeleiita1369]

From whr is the 20 cumimg from iam lost

[@ILLEGAL_STUDIO]

Is Eren Jaeger is your brother😆

[@estheriooo]

Huh

[@kei2639]

why did you mske it - 21?

[@Bright-Maths]

K TheGrump Because it is, on the numerator: (5x - 20) - (3x + 21) = 5x - 20 - 3x - 21

[@kei2639]

@@Bright-Maths aaa now i get it, thank you

[@user-tx7zd4od1m]

help me to solve another example

[@EverythingJuiceWRLD]

I don't get how you got x+4 on the numerator

[@Bright-Maths]

Are you referring to the second question? We are finding a common denominator by multiplying the two original denominators (think about how you add non-algebraic fractions). Which means the numerator and denominator of the first fraction of multiplied by (x-4) (hence the x-4 on the numerator) and the second fraction is multiplied by (x+4)

[@kieronsimons5679]

Which paper is this on

[@Bright-Maths]

It depends which exam board you are doing I would suggest you ask a teacher for a list. It might not appear on your papers this year.

[@drash_1289]

iam in year 8 and i have a test on this

[@ostobb]

easyy

[@Youtubehandle579]

Cant read the handwriting

[@EverythingJuiceWRLD]

I REALLY REALLY REALLY DONT UNDERSTAND 😭

[@pastelgamer1196]

Bro lemme help, she sorta crosse multiplied in the second one. And in the first one she took the denominators as the recent factors that matched the denominators table lol sorry for being confusing I tried

[@Sara-zv9lx]

I did not understand the second

[@flakykrills8423]

Same page like wtf

[@simpfinty6492]

dawg im dumb

[@mikailbourne9414]

Don't understand 3:40

[@Bright-Maths]

We are creating two fractions that’s are equivalent to the ones given above, by multiplying the numerator and denominator by the same expression. The first fraction by x - 4 and the second fraction by x + 4. This gives us a common denominator so we can add the fractions

[@andrewrawnsley2713]

3x3 = 21? 1:40

[@Bright-Maths]

I’m expanding the bracket on the numerator of the second fraction so it’s 3x7 so the second term which is 21

[@skyeguzzo-mintzer2141]

@@Bright-Maths how did you know there was a bracket on the numerator of the second fraction?

[@d00dfx]

I still don't understand 😭😭😭

[@breezy9164]

FX 049 YOU DUMBASS

[@yourfavdictator8023]

Its okay :) Try watching some videos from Mathantics, they always help me!

[@haleyroopchand6842]

Breezy it is not her fault and you didn't need to be so harsh I didn't understand at first and I continued watching this and practicing and became the best in my class

[@d00dfx]

@@breezy9164 keep calling me dumbass, you inhuman asshole.

[@NotVisigoth]

He was not harsh 😭​

[@sudaykulkarni4157]

Handwriting needs to be improved