Algebra - Simplifying Complex Fractions
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- Опубліковано 7 вер 2024
- This algebra video tutorial explains how to simplify complex fractions especially those with variables and exponents - positive and negative exponents. This video contains plenty of examples and practice problems for you to work on.
Final Exams and Video Playlists: www.video-tutor.net/
in one of the most top comments on this video someone states that 2:19 has a mistake and the answer should be 9x/4y is this correct?
2:10 a little error flipping the second fraction there
@Illuminous_ yes he made that error when he flipped the 32 over 48, he turned it into 48 over 24. This shit had me bugging out because I knew my math was solid, so I went back and reviewed it. Dude is still a pretty solid tutor but man this had me trippin
@TheOrganicChemistryTutor You flipped equation wrong @2:18 and put 48 over 24 instead of 48 over 32. You got folks bugging out trying this at home 😅
I watch these and say, "ok, that's easy..." Then I look at my actual problem and it's like starting from scratch... Every time. I don't know why this doesn't stick
You are concentrating too hard. Take your time and relax.
Instead of watching, try the problem to yourself. Thats what i do, avoid watching and going ‘hmmm yes thats how i would do it’, instead try doing it yourself in paper.
@Asher and Brianna yea you need to actually practice not just watch it..
IQ isn’t high enough.
@@alecthomas7408 while high IQ might help in Math, most of the time it's Memory and Reading Comprehension that would help you pass Math.
In 2:19, the denominator in the other fraction should've been 32y. Hence, the answer (3:26) should be 9x/4y.
Yeah
yooooo I thought i was going crazy lol
Thank you because I was like wait what, why is my answer different
@@fezani5149 BYEE BC I LITERALLY RE DID IT 4 TIMES
Omg I thought I had to restart the full thing again thanks so much😭😭😭
13:34 not sure since im self studying this... but 4y should be there since 4 is cancled. So its supposed to be (5+y)(xy)?
yup!
King Chocolates exactly
Yeah maybe he forgot, but he is really good teacher
Yes, you are correct.
I knew it! He should do these problems before he presents them. Now, what is the correct answer?..I got (xy)(4x-5+y)/4(3y-8x)
Me watches a math vid
Ad : *ARE THE VIDEOS FROM 2006 REALLY HELPING??*
Yes
*YES, BECAUSE NUMBERS DON'T CHANGE YOU LITTLE SHIT*
MonkStin Y. Actually yes 😂
@@Modgey I don't usually read comments but here i am lol
Lol
You messes up the second problem is was 32y not 24y
should update the video
Tom S. &
Yup fella good catch
Yes that is why my real answer was wrong my real answer was 9x/4y
Althea Patience was this the right answer
2:16 you confused me cause I thought that the actual given was 24y but I replayed it and got even more confused as I saw 32y haha
ya its 32y why it become 24y
im here for this too... it was changed i think he had a brain fart....
@@jiee3123 hhhhhbme to i gat mad
You should add a popup explaining your error on the 2nd problem so people don't waste time trying to figure out what's wrong.
Yeah, thanks for the comment, I was like 'wait wtf happened to the 32, it Def doesn't simplify into 8*3'
at 2:23 how does the fraction 32y/48 to 48/24y? Shouldn’t the reciprocal be 48/32y?
typo
He wrote it wrong by accident
The real answer is 9x/4y
9x/4y is the answer
@@hexagonmagnetics569 can we still reduce 9x/4y?
Man you're the only reason Im passing my college algebra class. Nobody else makes sense to me.
You're my favorite math teacher on youtube, you explain things in a way that makes sense to so many people. I can't thank you enough for the progress I've made. With that being said, I see you've made a few mistakes in this video, you are human, it happens. But I would hate for someone to not learn this particular "math skill" or get discouraged due to the mistakes in this video. I would highly suggest a redo of this video so that people can better understand what you're trying to help out with. Thanks again for all that you do with your channel, keep it up, you're helping countless students.
It's the music in the back ground. Lol
it took 35 seconds for you to explain what to do. Its midnight and I'm writing
tmrw but with you ill be fine. i love you
I’ve found a couple errors. One of them I’m sure you’re well aware of between 2:19 and 3:26, where you made 24 the denom instead of 32. At around 14:00, you wrote 4x^2y-(4y)(5+y), the (4y), should’ve been a 4x. Overall really informative videos, but you have to catch these errors, it can cause a lot of confusion for watchers who don’t catch these.
Thank you so much! I kept staring at it wondering where the X went and not being able to figure it out. I'm glad I'm not quite as stupid as I was fearing for a moment there. ^_^" Thanks for the correction!
I REALLY like this man... but I was having a hard time here. Thank you for the comment.
Actually the (4y) should’ve been a (xy)😀
@@beroayman6934 Thank God I saw this! I was wondering whats wrong with my solutions
true that, i was wondering why my answers are not coming right
3:40 - answer should be 9x/4y
how did you get that?
Many many thanks to you! By Joe, I think I’ve got it! Your technique for solving these complex fractions mesh really well with my brain. I’m so grateful!
British
are the videos from 200blabla really helping....lmfao yes they are.
LMAO 😁
Yup cuz the math is the same it isn't a new ford model :D
Math doesn’t really change lol, why would it?
Lol. Like when was the last major revision in Algebra? Wayyyyyy before 2006. Love these videos. Although this one has two errors in it. Ayy.
I thought the same thing, "StudyPug"!
Thanks, man. Returning to school at 39. Jumped right into calculus. Struggling with some of the more basic stuff. This helped.
at 13:08 i think
its xy not 4y
Yep
I saw the error too.
agreed
Yea, but it's an honest mistake really, what matters to me is that he explained everything so well
Yep
True happiness is when you finally understand a math lesson 😭 I truly appreciate this video!
you made several errors during this video just check the comments, you should update this video and im not saying to be a douch i just think it would be a lot more helpful with the errors being corrected. thanks for even making these videos in the first place though seriously
Thank you! Taught me more in 1 minute 52 seconds than my math book did in an hour. New subscriber!!
the vid was 20 min
baby steps, quiet atmosphere, my favorite beverage, lots of paper... very relaxing!!!
Yes this stuff is cool.
Thanks for the breakdown it was helpful. There were a couple of human errors but nothing you didn't already tech me how to get around 😉
Thank you. I was struggling with the khan academy course on nested fractions, and your explanation made much more sense to me.
Thank you for helping me understand the lesson! The book did not explain well, but you did.
In my country if you want to do math you have to know English and learn with this guy.
Thank you a lot ❣️❣️❣️
Where are you from?
@@programmerbd1486 LAO P.D.R
At 2:18 instead of the second fractions' reciprocal resulting in a denominator of 32 you put 24. It's 32 in the problem.
Exactly!
@@kaashvisingh17139 I thought the same thing, something is not getting well. At least I understood how to solve problems like this!!!
Me too i got thought the same thing
and then he cancelled out so theres 2y at the bottom but he thought it was 24.......
Yeah it was suppose to be 32 not 24 but it's grand now at least we know how to do it
Video was amazing and just the right pace for me.
2:18 if people are confused why he wrote 24Y, it was probably a mistake as the flipped version should have been 48 over 32Y and I believe the result would have been 9X over 4Y
in 12:57 shouldn't it be (5+y)(xy) since the 4 from 4xy cancels out from the denominator? i'm not sure i followed why he multiplied 4y instead of xy
True
I really like this channel thank you very much
Can you stop complaining at least he is giving us a free tutor so if you are just watched and complain then dont watch his videos you cant feel the pain that he has been through him giving free tutor to us students then you guys are just complaining . For me he is a great guy teaching us so i would like to thank him
I think anyone has a right to complain when he does multiple problems wrong
How is xy the common denominator of xy and y???
at 6:52
by cross multiplying you will find 3x + 2y / xy sooo xy is common
13:06 If the 4 is cancelling, isn't it 5+y times xy? Why is it 4y?
Your voice is so soothing. Thank you
Answers that I got for #2 and #9
2.
9x/4y
9.
xy(4x-5+y)/4(3y-2x)
I love your channel. Especially when you reveal that you're from NYC by saying "fow-tee" instead of "forty." I moved away in 2005 but I still let my accent slip every now and again.
Your content is awesome. Your tutorials are even better than my teacher's teaching methods. I understand you much better than my teacher 😂 thanks a million 😅 😊
14:40 Shouldnt that be (4x^2y-5xy+xy^2)/(12y-8x)? And xy(4x-5+y)/4(3y-2x) as the final factored answer?
I got 4x^2y - 5xy - xy^2 all divided by (12y - 8x). Did it two different ways; same answer on both.
that's what I got
xy(4x-5-y)/4(3y-2x) ... the y variable in the numerator should be negative since it's - (5+y)/4
thank you very much you teach better than my actual teacher in school
Thank you so much! Ur videos are very helpful I have an exam in a day and i still didn’t understand those and not mention I got 6 lessons and I only understand till now 2 of the 6 lessons! Thank you soo muchh!
It's confusing when you go to find the GCF... I get really confused on why you pick certain GCFs and I think I'm going to fail my test because of it.
You really helped me its like you saved me
3:26 The right answer is: 9x over 4y
Thank u even I got confused
Iv’e been here so confused for like a solid 20 minutes.
im so late but iM taking pre calc and my teacher just went all in with no explanation, so I’m here panicking because she gave us a bunch of questions due today, really helpful video tho
Your videos help so much.thanks to you!
at 13:07, why would it be (5+y)(4y) when you already cancelled the 4 out when factoring for the other half of the numerator? wouldn't it just be 5xy^2?
There is a fraction where you made some changes in denominator for 32 into 24
bro this man made math with letters easier.
Best math videos on the web. Bar none.
I keep doubting myself and so I confuse myself every time, thanks for the video.
I swear I love you xD you break everything down to nothing
Agree, simplification of unnecessary complication to problems within the 'standard' math textbook.
Hey Mate! You messed up the 2nd example it should be 32 not 24.
So the answer maybe 9x/4y?
Ok why did my math teacher make this harder than it actually is ?
I have been saying the Same thing! Give it to me in plain english So I can work with it. Then give me the technical terms.
My maths teacher shows us even better short cuts than him, though the teacher is new, before hand I used organic chemistry tutor because the maths teacher did complicate it a lot.
Outstanding review. Thanks for the post. It is a bit much to take in. Much of your detail is new material for me, not seen in high school. Is there a procedure to obtain permission to use your material in a the classroom?
I think you can tell the kids to look up his channel. My professors tell me to look up Khan academy all the time.
legally, as long as you are not selling his videos and downloading them, you are allowed to show whoever this. You just cant make a profit from it. Posting anything to UA-cam immediately gives consent for anyone to share the video to anyone if available, and this is very much so.
Love the vid :) A minut mistake at 13:00 where the laster factor in the numerator is supposed to be (xy) not (4x)
If our common denominator is 4xy @12:55, and we factoring that into 5+y/4, then the 4's cancel leaving us with 5xy + x(y^2). But yet he says the 4's cancel and instead cancels the x. This is a mistake right?
True
Thanks man you help a lot
My math teacher is making us do these but we also have to factor them at the same time which really hurts my brain. Sometimes when someone is confused he accuses them of not paying attention in class so its been really rough.
Hey, Organic Chemistry Tutor, regarding the last problem, what if you have three variables? How would you simplify dat?
Thank you! I was picking my brain for a while! This really helped.
Thank you sir for posting this video. But i sir i wan to know what happend here at 12:54 to 13:09 you said the four cancels, then there is this (4y) or is it maybe (xy)? I got confused on that on that one sir.😔
its supposed to be (xy) yea he got confused
at 8:18 when you are "factoring out an x at the bottom" What does that even mean? How does the answer change so much? I have no idea what is happening there
You notice that there's two different answers the 5xy-x and x(5y-1) right? Now go try distributing "x" from the answer x(5y-1) and it will come out the same answer from the first answer.
In short, x(5y-1) = 5xy-x
D@mn, 4years ago???
Its still helping after 4yrs
u called reciprocal a "FLIP"??
Yes
They grade you on your work not your vocabulary 😂
you flip the second fraction so yes
This was so helpful... thank you!! 💛
This guy is better than my math professor
Was the 32y written as 24y by mistake at 2:16? Love the rest of the video. Thanks.
Him: "What would you do to simplify this fraction?"
Me: "cry" 😭
Jokes aside, It's not as hard as it looked at first.
Thank you for all your hard work!
FOR THE SAKE OF GOD I LOVE YOU SO MUCH I WISH TO GIVE YOU THE BIGGEST HUG OF MY LIFE EVER 😭😭😭
how do you do this??? You just make everything you say make sense. Cant seem to figure out why my math teacher doesn't.
7:39 so why is the common denominator xy and not just y if only y is in both sides of the problem?
It's because "xy" is the most dominant denominator so that's why he used as the common denominator which is still valid since there's still a common "y" on both sides.
Thanks for these lessons
Corrent answer for 12:34 is: xy(4x-y-5)/4(3y-2x)
Ty very very much this really help me
Shouldn’t one over y times xy be 1x instead of just negative x, cus what happens to the 1?🤔😕🤷🏾♂️
Thanks man appreciate it G
you really helped me! Thank you!
Thanks
Thank you so much
7:57 how come on the numerator the xy's dont cancel all together leaving just 3-4 ?
l believe only denominators cancel out?
@@chazmichael7967 yes you're right, you can only apply the cancellation on numerator-to-denominator or the other way around
Why is the 32 become 24???
Thank you sooooooo much
Thx mate you helped me a lot
Sir please the first question is 9/4 not 6/2
My teacher sucks but, this video explains a lot. My teacher doesn't explain anything
Angels of the forsaken same... once my teacher hid under her desk bc she was “frustrated” with us
Can someone pls solve the problem at 12:38?He did 1step wrongly(should be xy not 4y) and now im stuck
thx u. i thought i was wrong lol
I got 4x^2y - 5xy - xy^2 on top, factor out xy for xy(4x-5-y)/4(3y-2x).
7:38 But why is xy the common demoniator if y appears two times?
yeah same here
thank you. I understood now.
Nice video. Thank you
I kinda understand your explanation more than my teacher
8:15 Can the XY cancel each other out, leaving the answer -1/5-X? ~ 13:01 WHOOPS! It took me TWO days to see the error! I finally caught it! He canceled the '4', said, "5 + Y times 4Y", when it should have been "5 + Y times XY". ~ 15:04 You are not dividing by. You are multiplying. I have NO idea if I am correct, because of the earlier error. Would someone please check my answer? I have [4X²Y - 5XY + XY² over 12Y - 8X]
That one moment when I actually got the answer right
Yes
Thank you
For 2:41,you messed up 32y with 24y.It should be 32y.But this is a nice video.Thanks.
I’m literally in calculus right now don’t ask me how or why I’m here
Oh dear you made that into rocket science ..it didn't seem simpler in the least!
He made it way simpler. Idk what you’re going on about.
at 16:26 why don't we multiply the fraction by (x)*(x^2) why are we able to only multiply by x^2
At 7:22 why didn't you simplify 4y over 2y? in some videos it can be simplified.. Im lost
YES I'm totally wondering the same
Waittttt isn't 8•2 equal to 24? But the second problem had 32 on the denominator of the second fraction
>:0
Xiamea Esmabe I realized it too.
So what actually is the correct answer?
Correct answer is 9x/4y