Master Simplifying Complex Fractions

Subscribe! www.freemathvideos.com Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students learn math but allow teachers the resources to flip their classrooms and allow more time for teaching within the classroom. Please feel free to share my resources with those in need help.
Timestamps:
0:00 Intro
1:30 Example #1
3:46 Example #2
7:25 Example #3
11:05 Example #4
Corrections:
5:50 In example #2, after multiplied by the LCD, the result should have been 4/((x-2)+6(x-2)). I lost place of my addition sign in the denominator.

[@sethbigman9808]

Example 2. After you multiplied the LCD (x-2)(x+2)(x) Should it have been 4/((x-2)+6 (x-2))

[@brianmclogan]

great catch! yes I lost place of my addition sign

[@sethbigman9808]

Brian McLogan Yes. Thanks for the video. You did a great job.

[@enzoalvarez3250]

@@sethbigman9808 i thought i was tripping or either he missed a sign big help tho

[@jackwilson4324]

The second one should be 8x(X+1)/(x-2)(5x+3)

[@gavinamir611]

i guess im asking randomly but does someone know of a method to log back into an instagram account?? I was dumb lost the password. I love any assistance you can offer me

[@ADevilsHollywood]

You're the reason I'm going to pass this semester 🙌 Your videos have been an absolute life saver. Thank you!!

[@SerPouncealot]

I find the LCD to be the more difficult and convoluted way. I much prefer reciprocals even if it is more work in other peoples' eyes..

[@Mo-xj8sx]

That’s the way I’m looking for😅

[@headyshotta5777]

Is it just me or did Mr. McLogan have a little extra coffee this day? XD

[@johndunham6791]

This guy is legit. This is helping me review to test out of math so I don't have to retake it.

[@bigstuff52]

I had all this about 55 years ago and am reviewing for your Calculus vids, that I took about 50 years ago...I was using a slide rule in my Calculus classes..Man I'm getting old..Thanks for all your work...JJ

[@lucianabevan2114]

This helped me get an A+ on my test, Thank you!

[@brianmclogan]

boom!

[@ellyelle6491]

This is really nice. Thank you so much. Not everyone us here has a great teacher in math. So thank you for this. ❤️

[@brianmclogan]

You are very welcome Elly

[@Uzi487]

@@brianmclogan daddy brian

[@2freeluka]

@@Uzi487 LMAOOOO

[@haziri5118]

I was about to watch these video, but i felt it won’t help because of the kind of questions i saw on the clickbait. My spirit led me back to this video, and i must say that this is the best video on complex fractions. I solved troublesome problems in minute, thank you so much Mr. McLogan.

[@mathfullyexplained]

Try my channel mathfullyexplained. Has a complete unit on rational expressions plus more units

[@sydneykate]

Honestly, I love your videos. They are super helpful, straight to the point and easy to understand. Thank you.

[@21darkster]

Thanks for these videos, I'm taking precalculus and trigonometry at the same time in college and these help a lot, especially the ellipse videos. I am trying to get a degree in education with a focus on math, so I am going to be around math pretty much the rest of my life lol.

[@brianmclogan]

just like me! keep up the hard work

[@TubbsCustard]

Thank you sir! These questions were on my hw so this helped!

[@michelleprivratsky7830]

Regarding the example on the top right (16/x-2)/[(4/x+1) + (6/x)]: on the 2nd line (after you multiplied each fraction by the LCD) you got 4x(x-2)6(x-2)(x+1) in the denominator. I got 4x(x-2) + 6(x-2)(x+1) because I carried the addition, +, down from the original denominator. In other words, what happened to the addition sign between the two fractions in the denominator????

[@michelleprivratsky7830]

Never mind, just saw someone else's question about the same thing. At least it wasn't just me!

[@ronaldrodriguez5144]

Yeah , I noticed that too !! I need an answer for this !!

[@theminiartist4643]

I am extremely grateful that Ex. 4 was also problem #36 on page 587 of my math book.

[@brianmclogan]

awesome! happy to be able to help you out!

[@Nordap1986]

Thank you so much! I am doing an online math class and the video they have this subject goes way too fast. I couldn't understand a single thing she was doing. I watched your video and now I get it.

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@rushidhruva]

Like all your videos,very helpful ,thanks:)

[@danielchavarria7179]

Your the greatest math teacher ever! You're so helpful

[@brianmclogan]

appreciate it Daniel!

[@andrewbushby1703]

thanks mate, made sense and i am now confident that i can use this.

[@brianmclogan]

awesome! happy to be there for you Andrew!

[@dr.leonardhofstadtersavage6413]

Hello Brain, I'm always a fan of your channel. Thank you for the excellent math instruction videos, they excellent for self study. You are awesome Brain, keep up the great work. 👍👍👍

[@ethanolol3895]

Thank you so much!!! Thanks to you i can solve these problems so much easier!!!

[@brianmclogan]

awesome! happy to help!

[@doratheexplorer957]

Im studying for the MCA's Thanks!

[@artemiscarnegie]

You teach so well, I’m from london and we usually do maths in a different way that’s harder to do and this method is amazing for me and I understand everything, thank you!

[@basseyudoinyang5001]

Many thanks brother for your great tutorials

[@brianmclogan]

you are very welcome Bassey!

[@salbil5511]

The last question, you went very fast. Very great video 👍

[@aawendt]

You just saved my life. Thanks my man!!!!!!!

[@brianmclogan]

you are very welcome!

[@charleewright3933]

you make math so simple!! thank you!

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@thebrunettetinkerbell1965]

Am I crazy if I say that he might have forgotten to put the "+" in on the denominator for ex) 2?... I also thought that we aren't allowed to just cross our x's unless they were just one x?..

[@brianmclogan]

yes looks like I left it out by accident

[@gillianguarin2875]

thank you so, soooo muchhh, I have a quiz tomorrow and you taught better than our professor 😇

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@thedarkazrael]

Wow that was easier than I thought. Thanks

[@brianmclogan]

you are very welcome!

[@aunmaqsood8227]

thx man I'm in grade 9 and want to work ahead. I found this and at first was confused because I didn't know how to factor! After a few vids, it became evident to me on how to factor and this just became really easy! Again, I cannot thank you enough for your excellent videos.

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@kevn9489]

honestly you’re a god. thanks for helping me understand

[@justjay9301]

I have a pre calc test and I hope this helps

[@charley.17]

thank so you much. let’s hope i do good on my trig test. i got a 100 on the quiz so 🤞🏼🤞🏼

[@matthewlocke9225]

You’re doing the Lords work. My algebra teacher isn’t really teacher cause of Corona so we’re on our own. THANK YOU!!

[@brianmclogan]

So sorry to hear but very happy to help!

[@mathfullyexplained]

Try my channel mathfullyexplained. Has unit on rational expressions plus more units

[@jeffshittles3664]

Sir you are a life saver. Thanks so much

[@twelvemonths_]

How about the operation before 6 in number 3? The addition was missing. Thank you.

[@iamadamselindistress4969]

I am crying tears of joy thank you so much U DONT EVEN KNOW MAN

[@pure-kuro8573]

massive thumbs up, man. you deserve it.

[@thetexanlaramee]

great vid for teaching the theory. thanks.

[@brianmclogan]

you are very welcome!

[@saikikusuo2233]

On the third example, can we not cancel out the 3 and the x+2 on both numerator and denominator?.

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@lggamerzgen4762]

Unbelievable easy math... Complex is now easy for me but I need more complex fractions which is multiplication and compile of division signs. I am a grade 8 student and it really helps a lot.

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@davidv2594]

I knew I recognized those examples, he’s using the same textbook as I do 😂

[@johntitler3649]

:0 what textbook?

[@2freeluka]

THANK YOU SO MUCH! My math teacher has broken english and i cant see the board in class so this video helped me😅

[@brianmclogan]

So happy to be able to help you out

[@annareynolds8572]

You are seriously my fav

[@noodleasian6005]

this will only work in certain situations but still a great tutorial

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@Hawksfan1906]

thanks Mr. McLogan!

[@forestmartin9784]

Mr.McLogan You are such a help and easy to understand im hard of hearing and my teacher has a hard mexican accent so thank you so much for all ur helpful videos

[@bradb82]

in ex1: I don't understand how you went from Xsquared - 18x to x(x-18), is that GCF?

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@Christopher-qr8yu]

you are better than my teacher!

[@brianmclogan]

Just happy to be able to help you out!

[@winstong7438]

You are the best

[@jessegonzalez7413]

why does the 3 cancel but not the x ? in the first step of problem 1.)

[@yoboiavetv5865]

thank you so much

[@brianmclogan]

you are very welcome!

[@trxstytrades]

Love how he casually walks out of the frame, lol

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@hannahsutherland5518]

Thank you 😊

[@brianmclogan]

you are very welcome!

[@mannyramirez2461]

good explanation ,last one was hella confusing in the end.

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@applepeach11]

Hi, can you pls solve x/n +2=x+83/n+1 and x+83/n+1 +1=x+83+75/n+2 Pls equate these two equations and find x and n.

[@jordanbyjordan3092]

did you get the answer

[@lilac8343]

your tutorial was really great, but it doesn't solve the complicated problem in my book i do appreciate your tutorial though

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@samjames5289]

JUST TO DOUBLE CHECK - WITH PROBLEM 3 - YOU DON'T SIMPLIFY OUT(X+2) STRAIGHT AWAY BECAUSE THERE'S STILL ADDITION/SUBTRACTION IN THE PROBLEM - WHEREAS IN PROBLEM 2 YOU CAN SIMPLIFY STRAIGHT AWAY BECAUSE NUM. & DEN. ONLY HAVE MULTIPLICATION? edit: like a boss you clarify that on problem 4 - legend , thanks! love the bright orange haha

[@EPSGplayer]

The second half of grade 11 math is killing me... =( it makes sense but how am i supposed to remember it all?

[@brianmclogan]

some stuff will be helpful to remember in future courses, just keep working hard

[@micheal6702]

im doing this in 7th whadumeaan

[@zemo4031]

EPSGplayer in my country we learnt this in gr 8

[@mattdrivas7608]

@@zemo4031 in my time period we learn this in 2nd grade

[@rahulsethia7998]

Please help me in a fraction first we should do cancelling or adding like terms

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@yusufkaya1393]

thank youuuuuuuuuuuuuuuuu

[@jackwilson4324]

The answer to the last one is [(8x^2+8x)/(5x^2-7x-6)], I think, if not then what is it, because I didn't get what you did

[@khristophercasale5402]

Double check solutions number 2...

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@Sumitt.Thakur]

Please teach me short trick for divide

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@twelvemonths_]

Hope you'll reply, Sir ❤️

[@watchmakingman9342]

Helpful hint is to slow down your rate of speech to about 3/4 of that speed. Remember that the point of teaching is not to spit everything you know as fast as you can say it to show kids how smart you are. Instead point of teaching is show kids and people new information at a learnable pace. You do great work, AMAZING VIDEOS, and you obviously know your stuff but remember most people and kids do not have a 4year degree, or higher, specializing in mathematical studies at this point.

[@brianmclogan]

appreciate it Stewart, I know at times I speed up my speech so really need to focus on slowing down

[@watchmakingman9342]

In all sincerity Brian you are doing amazing things with these videos. I'm 30 and going back to college for a my second degree and these videos have really helped me and I imagine many thousands of others. Please keep going strong and what ever school you teach at is blessed to have a teacher that cares as much as you! Thanks a million!

[@brianmclogan]

really appreciate it Stewart, not plans to stop yet😀👊

[@bigstuff52]

Just slow the speed down under the settings icon..Honestly, I do that with just about every math teacher..

[@rmdir]

Yeah he's fast but at least we can pause the video and replay it etc. If anything it shows he knows his stuff and I respect that.

[@cuzzo9146]

if only you were able to simplify #4 further because im having trouble with simplifying it from where you left it

[@brianmclogan]

just distribute and then combine like terms

[@cuzzo9146]

@@brianmclogan yea thx i figured it out and great video i wish my math teacher was as explanatory and understandable as you are

[@cozetplan8247]

My mistake. He was right. I redid the problem and got the same answer. The plus sign wasn't really needed in the denominator

[@sarahcolasanto837]

the + sign is definitely needed. His answer is wrong.

[@Basic-Tron]

For the answer in 7:02, you forgot to include the addition sign separating the expressions in the denominator. Please check your answer again. This time do it SLOWLY.

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@patrickkaunda1406]

Pls make the background of the black board "black"

[@kuyanolitv644]

♥️♥️♥️♥️✌️

[@cozetplan8247]

I believe the answer he gave for the second example is wrong because he forgot to add the plus sign which will give a different answer from what I got.

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@abtaheesafeen]

If only u were my teachet

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@potheadsrealestate2777]

The fact that this video has an option for 4K.....

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@TheNinja4]

how do you finsh off the last problem??? with the 15(x-1)(x-4)- 3(x+4)(x-1) ?????

[@jackwilson4324]

He's lazy

[@blemishedorc5348]

I don’t pay attention in class because I know yours better teacher than my teacher

[@brianmclogan]

Appreciate it. Thanks

[@waleedalharbi1821]

example 2 is not right

[@mathfullyexplained]

Try my channel mathfullyexplained. Full unit on rational expressions plus more units

[@bye3756]

Orial Complex

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@randybrooks8140]

Love your stuff, you talk too fast for me, lowered speed to 50% and it becomes as though you are drunk, amusing, but delivered at speed I can get. So I guess a drinky or two could help delivery.

[@UsuiTakumiMeansPerfection]

The thumbnail tho....

[@johntitler3649]

HOW. DO. YOU. MAKE. IT. SO. EASYYY. PLEASE BE MY MATH TEACHER

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@keno1069]

Please take down this video and post another one without a mistake for question #2. This is ridiculous. You have completely embarrassed yourself by not correcting the mistake.

[@jiviteshpandab6194]

the us government has to change the prisoners uniform colour [offence]

[@CreativiTimothy]

Why are likes and dislikes disabled? That usually means the video is bad quality or clickbait -- I almost clicked off. I think this would get a lot of likes if you enabled it

[@MM-dj2cv]

BLACKBOARD NOT WELL CLEAR AND DIFFICULT TO SEE WHAT ISBWRITTEN INSIDE SORRY

[@mathfullyexplained]

Try my channel mathfullyexplained. Full unit on rational expressions plus more units

[@struggler78]

Dang this mans bald

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@RealTraumaHealing]

This might be simple to you but its not to a learner. The speed you talk is rediculas!

[@ZarkinX]

im going to fail pre calc so hard, i hate school so much

[@lukesparkman2590]

🐏

[@mathfullyexplained]

Try my channel mathfullyexplained. Complete unit on rational expressions plus more units

[@costinlloyd1918]

i hate math ):

[@mathfullyexplained]

Try my channel mathfullyexplained. Full unit on rational expressions plus more units