Adding and Subtracting Rational Expressions With Unlike Denominators

This algebra video tutorial explains how to add and subtract rational expressions with unlike denominators. It explains how to get the common denominator in order to combine the numerators of the fractions. This video contains plenty of examples and practice problems on simplifying rational expressions.
Fundamental Theorem of Algebra:
• Fundamental Theorem of...
Rational Expressions - Basic Intro:
• Rational Expressions -...
Simplifying Rational Expressions:
• Simplifying Rational E...
Multiplying Rational Expressions:
• Multiplying Rational E...
Dividing Rational Expressions:
• Dividing Rational Expr...
______________________________________
Adding & Subtracting Rational Expressions:
• Adding and Subtracting...
Rational Expressions - Unlike Denominators:
• Adding and Subtracting...
Simplifying Complex Rational Expressions:
• Simplifying Complex Ra...
How To Solve Rational Equations:
• Solving Rational Equat...
Rational Equations - Extraneous Solutions:
• Extraneous Solutions o...
_____________________________________
Horizontal and Slant Asymptotes:
• Horizontal Asymptotes ...
Finding Rational Functions Given 2 Points:
• How To Find a Rational...
Rational Functions - X and Y Intercepts:
• How To Find The X and ...
Graphing Advanced Rational Functions:
• Graphing Advanced Rati...
Rational Inequalities:
• Rational Inequalities
________________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 738

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor7 ай бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @seanshousevlog2ig936

    @seanshousevlog2ig936

    4 ай бұрын

    I LOVE YOU ❤

  • @jitstara
    @jitstara5 жыл бұрын

    This is by far the hardest thing for me in math.

  • @luistengonciang9247

    @luistengonciang9247

    5 жыл бұрын

    It's harder than multiplying and dividing rational expressions! Hahahaha

  • @jordannerney4097

    @jordannerney4097

    5 жыл бұрын

    Same

  • @YOSHIMOTO_HI_SPEED

    @YOSHIMOTO_HI_SPEED

    5 жыл бұрын

    Taking thiss class for the 3rd time :,(

  • @sab57

    @sab57

    5 жыл бұрын

    sameeee omg 8th grade math is eaaaaasy but this is not

  • @sarahevans4453

    @sarahevans4453

    4 жыл бұрын

    ME TOO

  • @cutelilly1000vedios
    @cutelilly1000vedios5 жыл бұрын

    I understood this in 4 minuets and 10 seconds meanwhile I was struggling a whole 2 weeks in class trying to understand this.. thank you so much omg

  • @ayobkhan7353

    @ayobkhan7353

    5 жыл бұрын

    Same

  • @Aadjiello_Barrion

    @Aadjiello_Barrion

    4 жыл бұрын

    I'm currently advanced studying this so that this will be easy for the next test

  • @onegaimatte1845

    @onegaimatte1845

    4 жыл бұрын

    @@Aadjiello_Barrion Same

  • @Chromia1

    @Chromia1

    4 жыл бұрын

    Seriously! Why do our textbooks make it so damn hard!? This is why so few women go into STEM!!

  • @levibest2409

    @levibest2409

    4 жыл бұрын

    Wow your teacher gives you more than a day to learn a topic? Mine gives us one class period then moves onto the next subject

  • @MsDera81
    @MsDera813 жыл бұрын

    I have found that it is absolutely necessary for you to have a very strong understanding of the rules and some of your previous lessons from high school as well as middle school in order to fully grasp this. For example, if you didn't fully understand or retain how to factor or find the GCF, adding and multiplying integers, etc., then this will be difficult. What I do is take myself back and find videos on BASIC algebra lessons to refresh myself on some of the things that I have forgotten and had no need to use once I graduated over 2 decades ago. Then I come back to these videos. Now I am at the point where I understand a majority of the lesson, and now all that is left for me to do is to remember the rules and steps and pay close attention to the signs and change them when I'm supposed to. Good luck everyone. And don't give up. I have cried many tears over math, but with a whole lot of prayer and practice, I made it.

  • @user-rh6ur3vu7h

    @user-rh6ur3vu7h

    2 жыл бұрын

    Thank you very much. Your comment supported me very much🫂🤍🥺.. well I will not cry anymore, I will do as you said and I will never give in to despair

  • @Arsenic7533

    @Arsenic7533

    23 күн бұрын

    Good point

  • @dylanmyers2229
    @dylanmyers22295 жыл бұрын

    I feel immensely privileged to have the ability of furthering my knowledge with your compelling, rigorous videos! Thank you for your service. Sincerely, I hope you are aware that your tremendous effort and talent do NOT go unnoticed.

  • @specialdude2270

    @specialdude2270

    4 жыл бұрын

    Dylan Myers I’m just here cause I don’t wanna fail math so

  • @judelim3365

    @judelim3365

    3 жыл бұрын

    Sge kaw bahala sml?

  • @Anonymous-oe5lj

    @Anonymous-oe5lj

    3 жыл бұрын

    @@judelim3365 hahahaa sml pa nga

  • @shlomomolokandov7270

    @shlomomolokandov7270

    3 жыл бұрын

    Nicely said

  • @yuno6697

    @yuno6697

    3 жыл бұрын

    you know some vocabs

  • @severed_toast
    @severed_toast4 жыл бұрын

    i swear everytime i search up a math tutorial this guy always pulls through with specific questions like these. Thank you so much for helping my revision sessions!

  • @forgottenphantom961
    @forgottenphantom9614 жыл бұрын

    I need baby steps. I’m not getting this. Only the first little part and then I’m just lost

  • @biscuits2463

    @biscuits2463

    3 жыл бұрын

    i think you need to touch up on the other topics! most of what are mentioned here in order to solve some of the terms are distributive property (i'm not quite sure about that one), factoring gcmf, sum/difference of 2 squares, and quadratic trinomials. if you manage to study and get all those, you'll be able to solve these problems in no time :)

  • @bradendawson5472
    @bradendawson54724 жыл бұрын

    Thank you so much man. I’m a sophomore in highschool taking Algebra II Honors. I’ve always been excelling in math class. Always. We started learning this about a week ago, and this is the only thing I’ve struggled on. Thanks for helping me out man! Respect.

  • @masxngg9937

    @masxngg9937

    3 жыл бұрын

    Bruh im a freshman taking algebra 2 pre ib and it sucks because I skipped geometry

  • @beg444mercy

    @beg444mercy

    2 жыл бұрын

    dang i’m in 5th grade advanced

  • @friedegg3732

    @friedegg3732

    2 жыл бұрын

    @@beg444mercy bud this is above your paygrade

  • @beg444mercy

    @beg444mercy

    2 жыл бұрын

    @@friedegg3732 what is a paygradw

  • @friedegg3732

    @friedegg3732

    2 жыл бұрын

    @@beg444mercy think of it like a ceo conpared to an average office worker, or a general compared to a private

  • @hymnjay0097
    @hymnjay00974 жыл бұрын

    This topic really hurts my brain, but thanks to you I'm able to get a glimpse of how it works. THANK YOU!!!

  • @greeneyedaryan2711
    @greeneyedaryan27116 жыл бұрын

    If I do pass math it will be thanks to you

  • @supremewarlord410

    @supremewarlord410

    5 жыл бұрын

    Did you pass?

  • @imking1477

    @imking1477

    5 жыл бұрын

    @@supremewarlord410 Lol WTF

  • @Misthiosis

    @Misthiosis

    4 жыл бұрын

    did he pass?

  • @supremewarlord410

    @supremewarlord410

    4 жыл бұрын

    @@Misthiosis he failed that's why there was "thank you"

  • @Malnourishedmosquito

    @Malnourishedmosquito

    4 жыл бұрын

    Did u pass? 😏

  • @shichan5634
    @shichan56345 жыл бұрын

    best teacher ever, ive been watching ur vids recently and i really improved in precalculs

  • @stephaniesimmons3787
    @stephaniesimmons37875 жыл бұрын

    Thank you so so much for your videos. Every one that I have watched I have understood, and thank you for explaining so clearly!

  • @siopao734
    @siopao7345 жыл бұрын

    I STILL DIDN'T GET IT😥 I THINK I CAN DIE NOW (edit/update) y'all i survived my 8th grade without actually learning this. am crying im now done with this shit

  • @aesthasahi6302

    @aesthasahi6302

    3 жыл бұрын

    HAHAHA same tho

  • @sanchamansubba8965

    @sanchamansubba8965

    3 жыл бұрын

    Kool

  • @esther6486

    @esther6486

    3 жыл бұрын

    ME TOO FUCKKK

  • @eternal6257

    @eternal6257

    3 жыл бұрын

    Same

  • @wynninglilac

    @wynninglilac

    3 жыл бұрын

    Same bruh :((

  • @anyaforger2106
    @anyaforger21069 ай бұрын

    OHHHHHH (we have a quiz tomorrow and math is the first subject of the day ❤️)

  • @ruper0
    @ruper05 жыл бұрын

    It was too easy its just my teacher made it look like its calculus

  • @gabrielleseru7945

    @gabrielleseru7945

    4 жыл бұрын

    you don't know what calculus is... This is a joke btw dude

  • @singlehair9952

    @singlehair9952

    3 жыл бұрын

    Oh trust me calculus is like when you enter in hell, algebraic is just the entrance

  • @lolzxd1296
    @lolzxd12965 жыл бұрын

    I never knew that it was THIS simple ;-;

  • @marcomad27
    @marcomad274 жыл бұрын

    You know it's bad when even the video makes no sense

  • @dsh4rkg453

    @dsh4rkg453

    3 жыл бұрын

    honestly i dont get anything.

  • @PhilReyPopp

    @PhilReyPopp

    3 жыл бұрын

    We are noobs

  • @biscuits2463

    @biscuits2463

    3 жыл бұрын

    you're probably not listening enough, or aren't completely familiar with the things to do in order to solve it, like solving quadratic trinomials, or even the positive-negative pattern and such. you should touch up on those topics to solve this quickly and efficiently.

  • @suji4175

    @suji4175

    3 жыл бұрын

    @@biscuits2463 yea i am not familliar with math at all, my brain cant handle this

  • @esther6486

    @esther6486

    3 жыл бұрын

    LMFOAOSJFN

  • @dougied5282
    @dougied5282 Жыл бұрын

    Everytime I watch one of your videos it's somehow a million times easier to understand and learn than any lecture I've been in.

  • @ascraeusorange9157
    @ascraeusorange91574 жыл бұрын

    Wow I didn’t expect it to be this easy My teacher used the last 2 minutes of class to explain this concept because there wasn’t enough time left, so she basically told everyone to read the section, but reading from the textbook is the most confusing thing ever for me, so I understood absolutely none of it. For the longest time I was just seeing numbers multiplied together that I had absolutely no idea where they came from, but this teaches the principles that can be applied to anything, which is much more helpful Thanks man, I appreciate this a lot :] ...my work is still late though

  • @trucewayyne1827

    @trucewayyne1827

    2 жыл бұрын

    One

  • @69XxXDqrkKnightXxX69
    @69XxXDqrkKnightXxX695 жыл бұрын

    LMAO Mark Walhberg is teaching me math!!

  • @sitdogsit78248

    @sitdogsit78248

    4 жыл бұрын

    OMG!!! I thought the same thing... hahahaha

  • @BlueCJ
    @BlueCJ6 жыл бұрын

    Thank you so much dude! Your video was the easiest to understand among all the videos I've watched. :)

  • @averygeorge793
    @averygeorge793 Жыл бұрын

    you’ve made more sense in 4 mins than my teacher in 4 hours. thank you for taking your time to do this

  • @georgesadler7830
    @georgesadler78302 жыл бұрын

    MR. Organic Chemistry Tutor, thank you for another great video/lecture on Adding and Subtracting Rational Expressions with different Denominators in Algebra. There is a constant pattern recognition to adding and subtracting rational expressions in Mathematics.

  • @lukecrofut7849
    @lukecrofut78492 жыл бұрын

    What a great video you’re an amazing teacher. Always come to your videos whenever I’m struggling with something

  • @sophiesmith5294
    @sophiesmith52944 жыл бұрын

    I was struggling so much and this video really helped! Thank you!!

  • @toode9448
    @toode94483 жыл бұрын

    Bruh this guy is sooooo gooooood. 🙏 We like your videos, they are simple and straightforward but still manage to make us pick up important concepts . This is wonderful.

  • @hicapasforlifeyeet4391
    @hicapasforlifeyeet43914 жыл бұрын

    I know you get this a lot, but you really saved me. I can't thank you enough!

  • @TourettesGamer
    @TourettesGamer4 жыл бұрын

    Thanks. I have an intro to tech math test tmw and I'm a little nervous about it. I'm binge watching your videos on the topics were on for added support. Much appreciated, sir.

  • @Matlockization
    @Matlockization4 жыл бұрын

    Excellent examples that take out the grey areas in problem solving.

  • @masked3703
    @masked37035 жыл бұрын

    An Math ad showed up before the vid started...

  • @justaperson9251

    @justaperson9251

    5 жыл бұрын

    Was it studypug 😂

  • @Nana-tx2mu

    @Nana-tx2mu

    5 жыл бұрын

    Same... It was study pug

  • @justaperson9251

    @justaperson9251

    5 жыл бұрын

    😂😂

  • @masked3703

    @masked3703

    5 жыл бұрын

    @@justaperson9251 It was studypug

  • @kollie_flower

    @kollie_flower

    5 жыл бұрын

    Guess the studypug doesn't let us watch these type of videos😂

  • @savagegaming8072
    @savagegaming80723 жыл бұрын

    This literally took me 45 seconds to understand! Best math tutorial ever!

  • @maededloff2888
    @maededloff28884 жыл бұрын

    oh my goodness I understood this way better than when my teacher tried to explain this... THANK YOU SO MUCH.

  • @zzzzzz6269
    @zzzzzz62692 жыл бұрын

    i kept denying your teachings because my teacher teaches a different method to this but my teacher's method is so hard to understand so i embraced your method and what a surprise it worked out quite well.

  • @matthewrichard6011
    @matthewrichard60113 жыл бұрын

    Nice video. The right tone for learning. Great job man. I subscribed and will support you through your store.

  • @tzvimenashelifshitz3341
    @tzvimenashelifshitz33414 жыл бұрын

    This helped me a lot. Thank you so much for uploading!

  • @johnaprilrelatorres8237
    @johnaprilrelatorres82373 жыл бұрын

    Great, i can understand this better than listening to my teacher or either by reading a whole book😁👍

  • @yeahGETSUMM
    @yeahGETSUMM3 жыл бұрын

    very helpful, thank you so much! I couldn't find anything helpful on this until i found your video!

  • @IceyDivine
    @IceyDivine5 жыл бұрын

    I swear you really helped me a shit ton this semester

  • @onegaimatte1845
    @onegaimatte18454 жыл бұрын

    I already understood this lesson but I still needed to learn more so i went here lol. Imma sub now

  • @HagalUlfr
    @HagalUlfr3 жыл бұрын

    Thank you for your videos, you have cleared up some confusion with one of my classes.

  • @aleijahzamora1797
    @aleijahzamora17975 жыл бұрын

    Thank you very much for this, it really help me a lot. I didn't understand anything in her discussion but still I appreciate it though I didn't understand and she said that we should study or watch math discussions videos from your yt channel so that we could able to answer our quiz maybe next week🤗

  • @ralainebernardo1898
    @ralainebernardo18983 жыл бұрын

    This is my favorite channel when it comes to math

  • @gabriellreyupanisa749
    @gabriellreyupanisa7493 жыл бұрын

    Thanks you so much 😘 I struggled for 3 weeks. By just watching this i learned it for just 10 mins.

  • @cliph1022
    @cliph10225 жыл бұрын

    wow thanks i already understand it now because i know how to factor so its easy because people forget factoring like perfect trinomial,common monomial, etc. like that

  • @ButerWarrior44
    @ButerWarrior445 жыл бұрын

    Very good with the variety of problems, thank you

  • @mubeenraza8489
    @mubeenraza84895 жыл бұрын

    Precious video. Unfolded my concepts

  • @bhuvanprakash4943
    @bhuvanprakash49433 жыл бұрын

    thank you so much... really helpful.. especially at this times.......

  • @tamiratayalew2668
    @tamiratayalew26682 жыл бұрын

    Thank you boss you are by far the best teacher i have ever see through out my life!!!!!!!!!

  • @pietrorossi9165
    @pietrorossi91652 жыл бұрын

    I need to do a math review before I start my university Calculus courses and this is so useful! Thank you so much for the awesome video!

  • @brianaalexandra
    @brianaalexandra3 жыл бұрын

    i stopped paying attention in my math zooms because this stuff was extremely hard and it would stress me out, watching this video helped me understand way better than my teacher. thank you.

  • @NixonDrink
    @NixonDrink3 жыл бұрын

    This video singled handedly stopped my nervous breakdown. Thank you.

  • @fiveleo
    @fiveleo5 жыл бұрын

    On the first question I believe it could be simplified more. Can't you just multiply both of the denominators (x) and (x^2) and then multiply the left by x^2 and the right by x. It would be like cross multiplying. Then it could be 5x^2 + 3x..or would not make it less simplified?

  • @brendanmarkswartz3075
    @brendanmarkswartz30752 жыл бұрын

    Thank you, your videos are greatly appreciated.

  • @BriannaBobadilla
    @BriannaBobadilla2 жыл бұрын

    Thank u so much! Was absent for one day because of COVID and I missed this entire lesson and was so lost. Got the test tomorrow and I thankfully got this!

  • @StarGirl-zs4fe
    @StarGirl-zs4fe5 жыл бұрын

    NOT ALL HEROES WEAR CAPES

  • @bruhduh9595
    @bruhduh95954 жыл бұрын

    You are better than my teacher

  • @dulshansenadheera3084
    @dulshansenadheera30842 жыл бұрын

    Thank you very much. This video is helped me to improve my knowledge.

  • @farzanashahid6
    @farzanashahid66 ай бұрын

    your videos are just so helpful

  • @thrillfly2484
    @thrillfly24843 жыл бұрын

    Thanks for the guidance man, I hope you could be my teacher in math.

  • @samuelthapa3926
    @samuelthapa39265 жыл бұрын

    Thank you for teaching

  • @zeinamohamed678
    @zeinamohamed678 Жыл бұрын

    thank you so much for this video it helped me alot 🙂this was a whole week explination in 13 min.

  • @MsDera81
    @MsDera813 жыл бұрын

    Is there another video explaining why /how you were able to move the negative sign to the number 7 at 7:36? I don't understand why you were able to do that.

  • @rodmaradrianbaingan2448
    @rodmaradrianbaingan24482 жыл бұрын

    This vid maybe frm3 yrs ago but who ever you are,you're a hero

  • @Cheroyzetti
    @Cheroyzetti5 жыл бұрын

    legit needed those problems thx honesty

  • @Lea.350
    @Lea.3503 жыл бұрын

    Two years of failing to understand this but now I do. Thank u so much😭

  • @SaadTheGlad
    @SaadTheGlad3 жыл бұрын

    YOU ARE SUCH A GOOD TEACHER

  • @drhemel
    @drhemel5 ай бұрын

    This immensely helped me, though i am studying on these topics a bit early (7th grader here. These are usually taught in 9th grade, atleast in my country) but it was enjoyable and fun to learn. Its like learning another language! The way you've explained is all clear to me now. I've understood everything perfectly and was able to solve these before your explanation (except for the exponential algebraic fractions. Those were the ones i needed a bit help, but now it makes sense) on Thank you very!

  • @StevesBeyondRepair
    @StevesBeyondRepair4 жыл бұрын

    JG, I do love your teaching method, best I can find on KZread. But, as a old beginner in this, I just wish you would give more like examples before moving to a problem that takes a different method. You show one example, then follow with an example that cant be worked the same. Do a few that the methods are same the tell us this next one will be a bit different. So defeating to get one problem, and go "oh, I get that" then next one is like "huh?". Then you work it out, the the next one is completely different!

  • @Kai26448
    @Kai264487 ай бұрын

    Thanks❤ I think I did a great job understanding this video, now it’s time to apply and actually solve the problems my teacher gave me

  • @file5743
    @file5743 Жыл бұрын

    i hope God blesses you beyond proportion u have helped so many souls with ur math videos thank you

  • @lovelysisters7892
    @lovelysisters78923 жыл бұрын

    Thank you very much it is very helpful video you have a brilliant mind.

  • @shadidahir5055
    @shadidahir50553 жыл бұрын

    You deserve my respect man

  • @sarahcastellanos652
    @sarahcastellanos652 Жыл бұрын

    I was lost in class today but by literally just watching two examples from this video I completely get it😭 thank you so much🙏

  • @calebcunningham1366
    @calebcunningham13668 ай бұрын

    Thank you so much this is very helpful!

  • @WWYrather_
    @WWYrather_ Жыл бұрын

    you save lives thx man

  • @enderlegendgaming7490
    @enderlegendgaming74904 жыл бұрын

    1:28 dam you left that 4 all lonely without parentheses

  • @icebear1465
    @icebear14653 жыл бұрын

    Thank you so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! You're saving my life thank you

  • @choowy5354
    @choowy53543 жыл бұрын

    Thank you for making these vids I find them really easy to understand. I can't really rely on the textbooks (ebooks since we're under quarantine) so this has been a great help.

  • @ggproductions8434
    @ggproductions84343 жыл бұрын

    You did what my teacher couldn’t!

  • @lochnessupv
    @lochnessupv4 жыл бұрын

    you are a life saver

  • @sylviria
    @sylviria Жыл бұрын

    Thank you it was really hard trying to understand from slides alone so I kinda get it

  • @karab7461
    @karab74615 жыл бұрын

    Super easy and straightforward, thank you!

  • @ummi836
    @ummi8364 жыл бұрын

    it helped me a lot thank you so much

  • @kilvernisbett6770
    @kilvernisbett67705 жыл бұрын

    Awesome. Thank you!

  • @banratt5221
    @banratt5221 Жыл бұрын

    Why was it this simple?? 😭 My math teacher made this seem so much more complicated. Thank you sm.

  • @ronaldoramos-vega2302
    @ronaldoramos-vega2302 Жыл бұрын

    Thank you very much !

  • @BryanLumague1123
    @BryanLumague1123 Жыл бұрын

    Thanks This helped me so much

  • @kryptoncraftymax8275
    @kryptoncraftymax82753 жыл бұрын

    Very helpful in my test today and my homework

  • @theoguindi7692
    @theoguindi76922 жыл бұрын

    Thanks a lot, this was helpful

  • @danielcaang3687
    @danielcaang36874 жыл бұрын

    Thanks these help a lot

  • @Ha-sf8ie
    @Ha-sf8ie2 жыл бұрын

    You made it easier for me, when my teacher is discussing I don't understand it.

  • @mhlanganisondlovu1699
    @mhlanganisondlovu16992 жыл бұрын

    Maths paper 1 is nxt week wed and ur yt channel is helping me so much u deserve this like

  • @angelicac.pacheco5551
    @angelicac.pacheco55514 жыл бұрын

    wow thank you soo much I finally get it!

  • @stansb1942
    @stansb19423 жыл бұрын

    I understand. Thank you man

  • @jamespetrakis2485
    @jamespetrakis2485 Жыл бұрын

    TYSM really helped🎉🎉🎉

  • @blueday4644
    @blueday46445 жыл бұрын

    Massive help, exactly the type of fraction problem I was searching an answer for-Thank You! subscribed

  • @zakriyati1694
    @zakriyati16943 жыл бұрын

    THIS. IS. AMAZING.

  • @BotConnorrr
    @BotConnorrr Жыл бұрын

    You're a lifesaver

  • @shadowmcnehneh608
    @shadowmcnehneh6082 жыл бұрын

    One way to make this video better would be to write out the LCD first and then show how each denominator differs and what is missing is what you multiply by! Seeing those three factors written as the LCD helps students to see (they can compare) what the denominator given needs to be multiplied by.

  • @thatonegent383
    @thatonegent383 Жыл бұрын

    Bro, when I say you're a lifesaver? 🙌🏽