How to simplify an algebra fraction
Visit www.mathswrap.co.uk for real maths, tips and techniques.
This video is all about how to simplify an algebra fraction and forms part of the playlist 'Answers to tough questions.' It's generally an A / A* grade GCSE and would probably be around 3 marks.
The issue with all addition and subtraction of fractions is to make sure that the bottom number - the lowest common denominator is the same. The question is fairly straightforward to get the LCM and then you need to work through each term to ensure that they are equivalent fractions.
(3x)/(4)-(x+2)/(3)+(x+2)/(12) is a little difficult to write in the description but I hope you'll get the idea from the video on how to simplify an algebra fraction. There are a number of other videos and I'll add annotations to this so you can access them.
I hope the video helps and please do leave a comment - thanks!
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Пікірлер: 303
Thanks for the wonderful and easy explanation on algebraic expressions which was so easy and simple to understand!
who got an ad about study pug lol i am really tried at looking for videos how feels the same...
@876Nick_yt
4 жыл бұрын
Nah, I got one about iq option
@elliotbrault3972
3 жыл бұрын
English??
@ngayozikuezaako4151
3 жыл бұрын
I got one about likee the temptations
@ahuman5515
3 жыл бұрын
Same
@prxppy_abi8845
3 жыл бұрын
I got it to
Thank you so much, i have exams coming up and you've been really helpful.
@LiuLucas-pz8mq
5 ай бұрын
Did you pass it?
Thanks bro this really helped me out a lot 👍🏻
Thanks, I appreciate the video and it answered my question
Thx! This helped me alot! Im in 7th grade and practicing for my exams in 8th grade!
I love you, you have save my Chris test❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
Lol I need this my exams tomorrow
@876Nick_yt
4 жыл бұрын
Good luck
@Glitching_Rain
4 жыл бұрын
same
@david-hn3qw
4 жыл бұрын
how did ur exams go?
@acronomycal4940
3 жыл бұрын
Mine are today
U are an excellent teacher u helped me in the homework a lot
@3minutemaths
7 жыл бұрын
Hi - glad to help and all best S :-)
Dude you're better than my current maths teacher 👍👍👍👍👍
sir is the reason why the +2 turns in to a minus 2 is because the negative in front of the -4 changes it?
@3minutemaths
8 жыл бұрын
+BanterComedy - Hi - yes you're 'gathering like terms' so +2 - 4 = -2. All best S :-)
I have a test tomorrow on algebra and this video is really useful only tip will be in future videos write a bit bigger because sometimes i was squinting but other than that really good
@3minutemaths
7 жыл бұрын
Glad to help and all best with your test :-)
Hi Simon - thanks very much for your videos. I am currently preparing for some SHL tests. I have got the question to this point 150.81/148.59 = 151.05/ x. I know I need to get x on the top and I can cross these over to do it but my algebra is a little rusty. I was wondering if you could help me with this question or better yet point me in the direction of a video or worksheet that can help me with these type of problems. Thanks
@3minutemaths
8 жыл бұрын
+John James - Hi ... here's a playlist that might help, and all best with your tests :-) kzread.info/head/PLPglScc3TJ-Mvi9Gk651-7y-bUJKC2y4H
@3minutemaths
8 жыл бұрын
+John James - Also this playlist kzread.info/head/PLPglScc3TJ-P5n2EL254i655ImfAKcb0c. Best S :-)
@johnjames3728
8 жыл бұрын
+Simon Deacon Thanks very much for your prompt reply. I will check the playlists out now!! Have a good weekend
Thanks helps me understand a bit now
amazing! I used to know all this but I forgot so this was a nice refresher, I subscribed!
excellent just what I was looking for, my GCSEs are next year and right now I'm preparing for the mocks, it super hard
@3minutemaths
7 жыл бұрын
Glad to help and all best S :-)
@zay5642
3 жыл бұрын
@@moon-dl3xz lmao u brought me back to 3 years ago, i'm a below average student but i got a 7
@zay5642
3 жыл бұрын
@@moon-dl3xz fam idk, just revise everything, minor
@freecss9330
8 ай бұрын
@@zay5642 2 years later..
I have a question how did u simplify the answer in min 3:31? I didn't get the all the final answer simplifying part can u explain it plz
@3minutemaths
3 жыл бұрын
Hi - with the top line I 'gathered the like terms.' So, 9x - 4x + x = 6x and -8 + 2 = -6. Best S
@asmakhalifa8034
3 жыл бұрын
@@3minutemaths Thank u
Your voice is so calming it really helped to understand this
thx this helped me allot
@3minutemaths
7 жыл бұрын
Glad to help and all best S :-)
@jonathanmungomba9491
7 жыл бұрын
Simon Deacon im doing my junior cert in 30 minutes your video is helping me thxxxx
Oh thank God I found someone like you. Your teaching method is great if truly understand what you are teaching step by step. Thank you alot.
Thanks sir this helped me alot
Very helpful, thank you! Got my exams soon and this helped me out.
@3minutemaths
7 жыл бұрын
Glad to help and all best S :-)
@Red-zd6qd
4 жыл бұрын
How did your exams go
I don’t understand how you simplify 1/2 x subtract a half down to x-1 all over 2 Any help please?
@fatimaabdulrahman9994
4 жыл бұрын
Luke Nelson same question
can you plz solve n make me understand this 53.50-x whole devided by x multiplied by 400= -10
Good - straight forward explanation. Thank you, I'll definitely share with my students.
@alexb.3533
4 жыл бұрын
Please dont leave the cursor on the pause button lmao
At my school we learned to remove the denominator (in this case 12) and just use 9x-4x-8+x+2 and then simplify to get 6x-6 before putting x on its own or is this wrong?
@3minutemaths
6 жыл бұрын
Hi - thanks for the comment. You'd need to keep the 12 as these are fractions. Best S
@olliebcafc
6 жыл бұрын
Thank you 👍
I’m a maths teacher and I will recommend your videos to my students
@Jester343
Жыл бұрын
Here's a tip, tell them it's a channel but don't outright recommend it because they'll see it as something to avoid due to it being from a teacher who 'makes you do work'. They'll avoid it, or most of them will with the exception of a couple.
@harrymatabal8448
3 ай бұрын
Mr polidan I suggest you should rather replace yourself with these videos.
AAAAHHH Really helpful, video keep up
@3minutemaths
7 жыл бұрын
Glad to help and all best S :-)
a lot of help...thanks
+Simon Deacon OMG you did my question!! that help so much!! that pesky " - " sign messed me up :P your the best!
@3minutemaths
8 жыл бұрын
+Add859 TankiOnline - That's great and glad to help :-)
how I can do this using MATLAB?
Really helpful
Id like to understand how you went from 6x/12 to 1/2x. I fine up to that point, i feel like i missed a step or dont fully understand the concept of fractions. The x was on top and now its part of the entire fraction. How does that happen?
@3minutemaths
5 жыл бұрын
Hi - Thanks for this. The x is still part of the fraction but it's like saying (6 times x) all divided by 12. The 6 and 12 are reduced so I've now got (1 times x) all divided by 2. Hope that's OK and all best S
@bighands69
5 жыл бұрын
6/12 is the exact same as 1/2. It does not matter if the x is on the top of the fraction or the bottom it means the same thing as long as you do not put an x on top and bottom at the same time (will cancel or divide out).
lmao i'd forgotten how to do this, thanks heaps :) You got yourself a new subscriber!!!
Thank you so much
can the above illustration solved by cross multiplication method?
@3minutemaths
5 жыл бұрын
Satyaban Ukil - Hi .... not really, cross multiplication is only where there is an equals sign in the middle. Best S
@satyabanukil779
5 жыл бұрын
@@3minutemaths Thnx for your prompt reply Sir. It will definitely help me. However I'm facing another problem. This time with factoring trinomial. 2x^2 + 15x + 28. But none of the factors of 28 add up to 15. How to solve it Sir. Shall be grateful if advised. Regards.
@3minutemaths
5 жыл бұрын
Satyaban Ukil Hi - If the question says ‘3 significant figures’ or ‘2 decimal places’ you will need to use the quadratic formula. If the question just says ‘factorise’ there is a particular method: Factorise Harder Quadratics kzread.info/head/PLPglScc3TJ-Ov7F1_VRLUQ7Ecf5PrQ-T3. Hope this helps, best S
Thank you !!
You did this problem easier than the other people on here.
@3minutemaths
9 ай бұрын
That’s great, and glad to help - all very best S :-)
Excellent!
Thanks, big help
thanks helped alot in my exam prep
@3minutemaths
7 жыл бұрын
Glad to help and all best S :-)
What happens if x is on the bottom of the fraction?
i was wondering if there was another method to simplify 6x-12 ? 12
@bighands69
5 жыл бұрын
That is as simple as you can make it. You cannot simply subtract 12 from x. It is like saying I have 5 apples so I took away 3 oranges. They are two completely different things. Now if it was 6x-12x it would be a simple case of taking away one from the other because they are the exact same thing.
What is minus? Negative or literrally subtraction
sir i have a doubt. when you simplifed 6x/12 - 6/12 = you cant just turn 6x/12 into 1/2 x cuz sir the the variable was with 6 not with the whole fraction
@3minutemaths
Жыл бұрын
Hi - around 4:07 there's a few options. (6x - 6) / 12 means you can separate both fractions as you are dividing 'each term' by 12 - so 6x/12, and 6/12 ... These can then be further simplified to half x and a half. Hope that helps and thank you for your comment. All very best S :-)
nicely done.. awesome
@3minutemaths
3 жыл бұрын
Glad to help and all best S
Tnkq sooooooooo much🙋🏼♀️
Thank you
Can I ask- where did the four come from?
@ellej6985
7 жыл бұрын
Sorry just seen you've responded to this question before, I should really look at all the comments before asking something lol 🤓
thank you so much. is this basically cross multiplying?
@senpaikuroshitsuji489
7 жыл бұрын
and what would you do if you have three different fractions that share no common multiple in the denominator
@3minutemaths
7 жыл бұрын
Hi - yes, it's pretty much cross multiplying to get the LCM. All GCSE questions should be solvable ....
@cloudgamertv4388
7 жыл бұрын
Dont know
@jasmine-jh5dt
5 жыл бұрын
Yep
this help me sooo much :)
@3minutemaths
7 жыл бұрын
Glad to help and all best S :-)
you are a great teacher
@3minutemaths
7 жыл бұрын
Glad to help and all very best S :-)
@princess3xxsarahxx50
7 жыл бұрын
Simon Deacon i love it because it helps me because i dont really understand at all but i will learn
OMG THANK YOU SO MUCH!! I have an exam tomorrow at school so this was super helpful.
i love it, eeven i am watching in 2018, but next time may you write a bit bigger?! thanks a lot!
@kittyzhang3480
5 жыл бұрын
i meant even
Thx Thx THANK YOU SO SO SO SO SO SO SO much
i have a math exam tomorrow, this video helped alot thank you
@3minutemaths
2 жыл бұрын
Glad to help and all very best with your test S :-)
@paradise178
2 жыл бұрын
@@3minutemaths thank you so much
4:03 i dont understand how you ended up with x-1 over 2. sorry, can you explain? :)
@kay8747
5 жыл бұрын
nevermind :) ive figured it out
Nevermind, I figured it out!
Algebra fractions are really really difficult. Even number based fractions are difficult. The reason for this is simple our brains find it difficult to deal with many parts which is what fractions are. Our brains deal with whole numbers more efficiently. People with high IQ's find it easier to deal with many moving parts because they are mentally able to juggle more balls in the air and are able to watch the movements of each individual mental ball. The beauty of mathematics is that it enables a normal IQ person to perform these tasks through lots of practice.
hi Do you think I can get an A in 3 weeks. by practising papers day after day up until the exam
@3minutemaths
8 жыл бұрын
+Charlie Stone - Hi - it's possible, but depends on your starting point. A / A* students tend to be a little more confident with maths - it's good to practice though and all very best S:-)
@FF-jf8yg
8 жыл бұрын
let me tell you something. I was a grade D student in maths and I was in the lowest set. In my class, everyone was so bad at maths however with a little bit of revision i managed to get the highest grade for maths which was a C in the mock exam, i beat everyone! However i was still at foundation. The fact that I was the best in my class gave me immense confidence and motivated me to carry on. Since then, I deliberately started loving maths, then I found myself revising everyday! I couldnt stop. Despite still being at foundation level, i went on KZread and started learning all the A/A* topics. After a few months I was on top set for maths and now (after a year) i got 3 A*s in a row for all the mock exams. Right now, I'm one of the best in my class. Im not being big-headed but my point is that to get better at maths, the first step is *TO START LOVING MATHS*
@elly8588
8 жыл бұрын
I agree with you are you in yr 11?
@FF-jf8yg
8 жыл бұрын
Yes, gonna do my GCSE calc exam next week
@3minutemaths
8 жыл бұрын
Wow - love this comment - fantastic work and all very best with your studies! :-)
There is no way I am using this after school and collage...but thanks anyways this helped a lot
i now understand thanks
How did you get 9x-4x=6X?
@3minutemaths
7 жыл бұрын
Hi - it's 9x - 4x + x = 6x - all best S :-)
Can you help me please, I have this IGCSE maths question in fraction form to simplify. Thanks in advance x÷3+7x÷9-7x÷18
@3minutemaths
7 жыл бұрын
Hi - you'd need to make all the denominators the same ... 18: 6x/18 +14x/18 +7x/18 Then add 27x/18 or you could write 1 and 9/18 x or 1.5x I hope that's OK and all best S
thanks i have understand these type of question \
@3minutemaths
2 жыл бұрын
Glad to help and all best S :-)
Good job sir
@3minutemaths
2 жыл бұрын
Very welcome and glad to help - all best S :-)
Thanks man
Thanks😊
@3minutemaths
9 ай бұрын
Very welcome and glad to help - all best S :-)
Thanks
excellent
How do you get 4(×+2)=4×-8 coz it's not -4(×+2)?
@3minutemaths
3 жыл бұрын
Hi - sorry, but it is -4 from the negative between 9x/12 and 4(x+2)/12. All best S
it was too much helpfull
thanks
What happened to the x+2 in the second equation?
@3minutemaths
5 жыл бұрын
Hi - To add or subtract fractions you need the same bottom number (the denominator). I changed the denominator to 12, from 3, by multiplying by 4. So, you need to also multiply the (x + 2) by 4. You'll then get 4x + 8 ..... although you need to be careful that it's -4 (2.34 on the video). Best S
@eugenefoong3281
5 жыл бұрын
Thanks so much I learned more here than in school
@eugenefoong3281
5 жыл бұрын
@@3minutemaths thank u so much
my teacher doesn’t teach us anything so all of us have to help ourselves WE HAD A WHOLE PAGE ON THIS STUFF AND I FAILED BC I DIDNT UNDERTSNAD
@ahuman5515
3 жыл бұрын
That really sucks.
@Jahanna0102
3 жыл бұрын
Same I had this on an exam and didn’t remember ever learning about it
Yay I can do tests easier thnx 👍👍👍 And I thought this was impossible to understand
THANK UUUUUUU
Wow this helped me A LOT It was really easy to understand and I'm doing my end of term test which will include this Thanks :P
thank youuu!!!!!
@3minutemaths
3 ай бұрын
Very welcome and glad to help - all best S :-)
If you could explain the value or function of X, then the sum would be a bit easier to follow.
@3minutemaths
8 жыл бұрын
+stunninglad1 - Hi ... I'm not really sure what you mean ... please could you elaborate?
@stunninglad1
8 жыл бұрын
Simon Deacon A bit unsure as to what X means in the equation We had 3x over 4 - How is that different to just 3 over 4?
@3minutemaths
8 жыл бұрын
+stunninglad1 - Hi, great question - I'll write a post on www.3minutemaths.co.uk and let you know when done. The idea of x is that it could be any number. When you just say '3/4' it really means 3/4 of 1 whole. If you put an x in there it could mean 3/4 of 24 or 48 or any other number. Algebra is used a lot when you need a general rule to convert a unit .. something like degrees to fahrenheit, or cm to inches. I hope this helps and I'll get writing!
@stunninglad1
8 жыл бұрын
Simon Deacon Thank you for that.It's a very good lesson and it's good to see a teacher tackling algebra. I look forward to more on this subject.
omg tysm i have midterms coming up and this helped so much!
could anyone simplify this ? (x^2/a^2) + ( ((x.tanθ)^2) /b^2 ) = 1 the aim is x on the left side of = x = ??? this was used in game developtment for finding x coordinate given angle of mouse position thank you in advance :)
@YoggieYoga
5 жыл бұрын
what operation i need to solve this ?
Thanks Sir for the video. I really needed plus it's helpful.
kinda everyone know this, make some videos teaching the tricky fractions like (1/x)/4 for example.
What????? How did you get the 4(x+2)?????
@3minutemaths
2 жыл бұрын
Hi - around 1:30? It’s to make the same denominator for all the fractions (x + 2)/3 becomes 4(x + 2)/12. All best S :-)
How did he get 4 at 1:55
@kiahjones4400
4 жыл бұрын
Nvm
In which country do you live? I am asking it becuase I learned that in 6th grade.
@3minutemaths
7 жыл бұрын
UK and great that you know how to do this :-)
@tarunsingh5439
7 жыл бұрын
Simon Deacon can you tell me please that for which grade you are telling this solve. ☺
@tarunsingh5439
7 жыл бұрын
Simon Deacon can you tell me please that for which grade you are telling this solve. ☺
@omak7084
6 жыл бұрын
which country are you in? i learnt it in 3rd
@gamerkiller8640
6 жыл бұрын
AODestroyer12 I TF2 Gameplay you are suck
what is the purpose for this type of math equation? does it help discovered the cure for cancer or something????
@3minutemaths
7 жыл бұрын
Yep ... I can understand how frustrating this is. In isolation, it's not really worth anything. The idea is that practice with manipulating equations will help if you get involved in higher level study. All best S :-)
@michaellogue4068
7 жыл бұрын
Carlos m yes it can cure any cancer if you master this basic skills. this related for the lower and higher chemistry. thats all
@missgreentea2091
6 жыл бұрын
Carlos m exactly.i dont see a purpose for complicated maths.
@rehanlalani978
6 жыл бұрын
atleast hey are working hard not like you
@huehue5286
5 жыл бұрын
if you only knew how useless it got after this...
Hi- Can you help with my math homework? (n+2)*(n+1) ------------------- +n+2=28 2
@3minutemaths
3 жыл бұрын
Wise old Glitch Hi - the easiest way would be to get rid of the /2 by multiplying both sides by 2. The question doesn’t seem quite right as you would need to use the quadratic formula, or completing the square, to find the values of x: (n+2)(n+1) + n+2 = 56 Multiply out nsquared + 3n + 2 + n + 2 = 56 Tidy up: nsquared +4n + 4 = 56 Make equal to zero nsquared + 4n - 52 This will only factorise using the formula or by completing the square. Best S
So goooodd
The handwriting is so small sorry but I couldn't see but the explanation was superb
I'm stuck on the -8...cant understand.. -4 +2= is -8????
@adititt
5 жыл бұрын
-4(+2) = -8
Why are using 12 as the denominator, why not any other number?
@techgoat8689
2 жыл бұрын
To determine what the denominator will be, you need to find the LCM of the denominators given, and in this case it's 12
@3minutemaths
2 жыл бұрын
Hi - yes, 12 is the smallest number that all the denominators will divide into. Best S
wow thank you so much. this really helped me. will never fail my tests and exams.
it is nice
What about bidmas
@3minutemaths
6 жыл бұрын
Hi - BIDMAS is definitely important ... but perhaps more with solving or calculating an answer. With this question we're really just looking to simplify. Best S
YOU SAVED MY FUCKING LIFE TYSM HOPE U FINEEE
why is it 6x and not 5x?
@3minutemaths
Жыл бұрын
Hi - it’s 9x - 4x + x = 6x. Hope that’s OK and all best S :-)
Great job probably could've taken 2 weeks to learn in class! Now I got it in 4 mins
but why it -8? 4 x +2 is 8 and where is the negative for 8 come from
@3minutemaths
4 жыл бұрын
Last of Limited Hi - the -4 before the x + 2, means that you multiply each item by -4. So -4 times x is -4x. Also -4 times +2 is -8 Best S