Adding and subtracting algebraic fractions | Higher GCSE | JaggersMaths
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- Опубліковано 30 вер 2017
- Find me on TikTok under JaggersMaths!
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 ...
Thanks I was confused because of the way my teacher explained but now I understand it properly
i loved the way you explain it, so clear and easier to understand. Thanks so much.
This really helped me click mentally with the concepts. Thank you so much for your explanation.
Thanks,you made me end my confusion and I appreciate it
Thanks for the clear explanation. I appreciate it.
Very helpful thank you so much I spent 20mins looking for this type of video
thank you so much my teacher complicated this all for no reason at all
Thanks for helping mee respected teacher 🙏🙏❤️
The video was great. You explained everything really clearly and I found it easier than I thought it would be
Thank you so much Ms.. 🙏
Thank you so much , you explained it so much better than my teacher 🙏
I liked this way that you are explaining it
My teacher gave us a whole long explanation but now I understand so u deserve a like
Thank you! Very helpful :)
THANK YOU SO MUCH YOU HELPED A LOTT!!!!
Very Well Explained, Thank You So Much :D
Just subscribed to your channel and clicked the notification bell...
Thank you very much professor
thanks; very helpful
Thanks you saved me
thanks sm this was v helpful
I was lost at the second question
Even I was
Impressive 😁🤩
anyway thank you!
legit taught me more in 5 minutes than 2 hours
great explanation! i just wish you could write X like a normal X to avoid confusion :)
In maths, we draw a curly x to avoid confusion with the multiplication sign.
Thanks mam for clearing my doubt love from india 🇮🇳🙏❤️
She explains this better than my teacher
Thank You
i dont understand the second one. where does the 4 come from
Thanks🌹
It works
Thanks😊❤
I also get confused on the plus and minuses can you make video addressing it pls
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
Thank you so much but what if you have three fractions instead of two
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!
@@Bright-Maths thank you, l have a test tomorrow so l am studying your videos are really helping
@@Bright-Maths you should do a video in that because I also wanna know
@@mubschannel8007 its easy
@@chair8401 then do it
cheers la
Nice question
Thanks
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 ❤🤍❤🤍❤🤍🤍🤍🤍
Thanks for making this vedio
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
It’s x - 4 and 2x + 8 on the numerators which equals 3x + 4.
I like this topic.I do maths on my UA-cam channel too. Great lesson!
I HATE this topic = =
@@mantosh56 IKR
This really helped,thank you
THK soooooooooooo much
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
Hi there. No you couldn’t because x + 4 isn’t a factor of 3x + 4. 3(x + 4) = 3x + 12.
@@Bright-Maths Ok thankyou for replying so quick considering this video was 4 years ago or longer.
Aaah I see this is higher level ,phew although I can just about do them 🏴😃🙋♂️
Hi miss jagger it's helen from l7 I found ur yt channel
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
Hi there - it’s because the second fraction is being subtracted. So we are subtracting 2x - 1. This becomes -2x + 1
thank u for such a life saver video but cani ask how did we get 3 as a numerator in second question
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.
What's x-38/45?
Where did you get the 20 from?
When I expand the single bracket on the numerator, we have 4x5.
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
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.
@@Bright-Maths why did you change the sign?
in the second example, why did the 1 transform in x - 4?
We are multiplying the numerator and denominator by x-4 to get the common denominator of (x+4)(x-4)
In school lvl just do cross multiple 😂😅
Where did you get the three x from
Can you let me know where in the video this is please?
At 5.00 can’t you factorise 2x+8 to 2(x+4) and cancel bottom and top?
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.
Alison Jagger oh ok thanks also is it possible you can go over pass papers like for aqua
Aqa*
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 UA-cam if you have a search.
Alison Jagger oh ok thanks
at 5:53 the second question at the end how did u get it from 2x-1 to 2x+1
Because you are subtracting the whole numerator of 2x - 1. So -(2x - 1) = -2x + 1 .
- - 1 = + 1
@@Bright-Maths so when u expand the brackets does it change to addition
@@Satoshi_sab Yes essentially. -(2x - 1) = (-1 x 2x) + (-1 x -1) = -2x + 1
Where dose 20 and 21 come from?
From expanding the single brackets on the numerators. If you need help with expanding brackets watch: ua-cam.com/video/iwTyQxerPuE/v-deo.html
I still don’t get how u got 3x + 4 for the second question
On the numerators, we have x - 4 and 2x +8 which in total gives 3x + 4
Can you please help me with this
X/9-x/3+x/6=
In single fractional expression
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
Yes it's 3 separate fractions
What's my next step
Can you please make a video to explain
Worren Worren sorry if you need detailed help please ask your teacher I can’t make a video on every skill
Where did you get the 21 in the first part
When I expanded the bracket 3(x + 7)
Which is 3x + 21
good
fhzahzhj
good.
Mon 16sep 5:33 pm Aus.
this is my quote
thanks alot but I am confused why you changed the sign from (-) to (+) on the first equation.
Because you are subtracting the second fraction, the numerator (2x - 1) becomes -(2x - 1) = -2x + 1
Im not gud at maths but I understand this a bit
Hi, i try question 2 i found 1 divided by (2x-1)(x+1) it is correct
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)
@@Bright-Maths ooh my bad thanks for ur help ❤
Why does the 21 in @2:37 needed to be negative?
If you look in the comments “kei” asked the same question and I responded
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!
Where did you get 20 and 21 from
When you expand the brackets on the numerator, you get 5x4=20 on the first fraction and 3x7=21 on the second fraction.
for the first question why is it '5x - 20 - 3x - 21' and not '5x - 20 - 3x + 21'?
Because you are taking away 3x + 21.
- (3x + 21) = -3x - 21
Ohhh I see thanks
How does number one on the ñast question turn into a positive
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)
6:19 we have 2x-2x right the other part is positive 2-1 so how did you end up with three?
It’s not -1 it’s +1
2x + 2 - 2x + 1 on the numerator
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.
Because we are subtracting the second fraction. So it’s - (2x - 1) which becomes - 2x + 1
@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 😊
Why does 3x+21 become 3x-21 when combining the fractions?
Because you are subtracting the second fraction, the numerator (3x + 21) becomes (-3x - 21).
X/3 - x/2 - x/4=
help me to solve another example
From whr is the 20 cumimg from iam lost
How did the +21 become -21 at the end of the first question?
Because you are subtracting the second fraction, the numerator (3x + 21) becomes -(3x + 21) = -3x - 21
easyy
I don't get how you got x+4 on the numerator
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)
iam in year 8 and i have a test on this
Which paper is this on
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.
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😅
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.
Is Eren Jaeger is your brother😆
Huh
What is that?
1:11
one question why did you minus 3x-21 why not plus???
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 ...
@Max Gulyaev Yes!
you didnt factorize using the foil method in the 2nd question
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)
@@Bright-Maths ohhhhhhhhhhhhhhhhhhhhhhhhhhh ok because i thought it was used for factoring
@@Bright-Maths and thanks for the explanation, appreciate it
i cant understand it clearly tho
Please next time try to take off the auto words on the screen it's kinda blocking the working out..
.but otherwise thanks allot❤💯
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?
I dont understand the last bit😢
Hopefully after 8 months you learnt how to add and subtract algebraic terms so you could understand that last bit. 😊
why did you mske it - 21?
K TheGrump Because it is, on the numerator:
(5x - 20) - (3x + 21)
= 5x - 20 - 3x - 21
@@Bright-Maths aaa now i get it, thank you
dawg im dumb
I REALLY REALLY REALLY DONT UNDERSTAND 😭
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
3x3 = 21? 1:40
I’m expanding the bracket on the numerator of the second fraction so it’s 3x7 so the second term which is 21
@@Bright-Maths how did you know there was a bracket on the numerator of the second fraction?
I did not understand the second
Same page like wtf
Don't understand 3:40
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
I still don't understand 😭😭😭
FX 049 YOU DUMBASS
Its okay :) Try watching some videos from Mathantics, they always help me!
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
@@breezy9164 keep calling me dumbass, you inhuman asshole.
Handwriting needs to be improved
Your 4 looks like a t