How to multiply and divide rational expressions

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  • Опубліковано 3 сер 2024
  • Learn how to multiply/divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to multiply two fractions, we multiply the numerators together and multiply the denominators together and to divide by a fraction, we multiply by the reciprocal of the fraction. The same rules applies when we want to multiply/divide two rational function.
    Given two rational expressions, to multiply the two expressions, we factor all the polynomials and then cancel out all the common factors between the numerator and the denominator. We then multiply the remaining numerators together and the remaining denominators together. The result is the simplified product of the two rational expressions.
    Given two rational expressions where one is dividing the other, we first turn the divisor rational expression upside down and change the division sign to multiplication sign. We then follow the process of multiply two rational expressions.
    #rationalfunctions #multiplydividerationalexpressions
    Timestamps:
    0:00 Intro
    3:13 Example #1
    4:50 Example #2
    Corrections:
    2:40 4/6 when reduced is 2/3

КОМЕНТАРІ • 152

  • @paulsun9206
    @paulsun9206 6 років тому +274

    School makes me stress and stress makes me depressed im so done with my life

    • @brianmclogan
      @brianmclogan  6 років тому +183

      I am sorry to hear about that Paul, don't put added pressure on yourself, do the best you can do and that is it, there is so much more to life than school

    • @paulsun9206
      @paulsun9206 6 років тому +73

      Your the only one who really cares about me tbh and i dont even know u personally thanks bro makes me feel a lot better

    • @Waafa
      @Waafa 6 років тому +22

      I hate life.

    • @KittentheFennecFox
      @KittentheFennecFox 3 роки тому +9

      I used to feel the same way but don't worry. There are bad days but once they are over things are completely different. A few failures won't destroy everything. Life carries on, just roll with the punches and you will end up okay and alive every time! Also I assume you were in 11th or 10th grade when you wrote this so just look forward to all the things you'll get to do when school is finished for good.

    • @samuel2286
      @samuel2286 3 роки тому +8

      I know it’s been 2 years but I hope you’re feeling bettwr

  • @officialestok3317
    @officialestok3317 5 років тому +107

    I've been watching your videos on rational expressions and etc all night.. game changer! Thanks for the content teach!

  • @Lifeinphase
    @Lifeinphase 9 місяців тому +5

    Your videos are some of my favorite. I am a working dad going back to school in my mid 30's and just want to let you know I appreciate that you've posted these. You do such a great job of explaining what we need to know and simplify your own methods of teaching so well! Helps save me headaches and time trying to figure out this stuff! All the best to you!

  • @shreddherr
    @shreddherr 5 років тому +89

    I'm in class abt to take a test rn I'm screwed gn

    • @benlee5039
      @benlee5039 5 років тому +2

      so howd it go

    • @12spidersinacoat
      @12spidersinacoat 3 роки тому +3

      @@benlee5039 they failed

    • @pvnkbear1995
      @pvnkbear1995 2 роки тому +6

      @@benlee5039 im his teacher, he got an f and was expelled

    • @Liam-iv2oj
      @Liam-iv2oj 4 місяці тому +1

      me asff :((((( idkk i still dont b understanding hopefully i can cheat fr fina watch these vids atp

  • @hersheyypiee._.
    @hersheyypiee._. Місяць тому

    You are literally a magician I never really found algebra a like-able subject but after I discovered your channel it's really fun to solve... it's 2024 and your videos are still helpful to me and my friend! Thank you so much

  • @jonathanramirez4367
    @jonathanramirez4367 6 років тому +93

    im failiing this math final tomorow :(

    • @brianmclogan
      @brianmclogan  6 років тому +58

      with that attitude you may, study hard, keep learning and do your best, I have failed many tests but that never stopped me from continuing to learn

    • @exe7909
      @exe7909 6 років тому +4

      good be failed

    • @benlee5039
      @benlee5039 5 років тому +25

      Failing is your first attempt in learning.
      Problem is that school doesn't acknowledge that.

    • @ojtex47
      @ojtex47 3 роки тому

      @@benlee5039 only too true

  • @jessieparham9589
    @jessieparham9589 5 років тому +81

    At 2:56, wouldn't that be 2 thirds??? 2/3

  • @byyyfgsd40
    @byyyfgsd40 4 роки тому +25

    I just want to say thank you so much, you have helped me to learn this concept. I have a big test tomorrow, and I am finally understanding the concept because of you. Thank you again.

  • @everydayfun9531
    @everydayfun9531 5 років тому +11

    Honestly I feel like your my real teach right now than my math teacher at school thnx sensei I hope your vids help me get through this algebra course.

  • @michaelasalonga2723
    @michaelasalonga2723 4 роки тому +8

    This helped me alot, online classes are the only thing available in our city for now.. I can't understand math without someone explaining it to me, and now I can because of this channel

  • @haunanikeamo6714
    @haunanikeamo6714 Рік тому +5

    There is a mistake at 2:41 when you reduce the fraction 4/6 to 3/2.

  • @amai459
    @amai459 5 років тому +17

    Whenever I dont understand the lecture in my class.
    Me: BRIAN I NEED HELPPP.

  • @gabtv8054
    @gabtv8054 2 роки тому +2

    Math vids are actually better than Math classes most of the times methods teached to us are so long I'd even get lost in my computations
    Ty teach!

  • @vedhanthmadhanagopal4260
    @vedhanthmadhanagopal4260 3 роки тому +3

    i swear this guy helps me survive online school

  • @BasCosta1
    @BasCosta1 6 місяців тому

    dude this guy is litterly my teacher at this point 😂

  • @Chlosocute
    @Chlosocute Місяць тому

    THANK YOU SO MUCH! I was freaking out because I didn’t get this at all, and I have a quiz tomorrow but now I think I get it better

  • @Dragongaming-ti6hm
    @Dragongaming-ti6hm 2 роки тому +4

    I’ve been watching your videos a lot this year and it helps me so much! Thank you for doing these 🙂

  • @bruzon2099
    @bruzon2099 5 років тому +3

    I don’t know what I would do without these videos thankyou 🙏🏾

  • @MarcelinoAndradeSF
    @MarcelinoAndradeSF 5 років тому +4

    Q. At the 2:50 mark in the video, how does 4/6 = 3/2 ? Doesn't 4/6 reduce to 2/3 ? Did I miss something in your explanation?

  • @ClassicalSquaresoft
    @ClassicalSquaresoft 5 років тому +6

    I'm doing this in Grade 11 with finding non-permissible values as well. It's the hardest unit in the Grade 11 math in my opinion.

  • @mayracadena8443
    @mayracadena8443 5 років тому +2

    Thank you. I am
    Behind on this lesson and this is helping me catch up.

  • @edgaralegria8066
    @edgaralegria8066 2 роки тому +1

    GAME CHANGER LOVE IT!!!!!

  • @johnatkins1484
    @johnatkins1484 6 років тому +3

    this man is a true inspiration!

  • @piscesgirlfriend
    @piscesgirlfriend 5 років тому +18

    i have a test tomorrow and i’m really about to fail LMAO

    • @brianmclogan
      @brianmclogan  5 років тому +8

      you got this CARA!!

    • @angeldustforlife9060
      @angeldustforlife9060 3 роки тому

      How did you do at that time ??

    • @piscesgirlfriend
      @piscesgirlfriend 3 роки тому +1

      @@angeldustforlife9060 honestly i don’t remember. probably flunked it. but hey, i still graduated 🤷🏾‍♀️ (don’t be like me!)

    • @arielfarra7979
      @arielfarra7979 3 роки тому

      I have one today, we’ll see how it goes!

    • @piscesgirlfriend
      @piscesgirlfriend 3 роки тому

      @@arielfarra7979 good luck!!!

  • @traviseerickson7890
    @traviseerickson7890 5 років тому +1

    thank you for showing me a method of doing this i understand. im still struggling with the more complex ones though

  • @disrrpt_466
    @disrrpt_466 3 роки тому

    U don’t even understand how great these videos are. Without these I am failing math

  • @PaulDaPig
    @PaulDaPig 2 роки тому

    best math youtuber out there

  • @bluewallstrikesagain7724
    @bluewallstrikesagain7724 3 роки тому +1

    Thanks so much. I have some tests coming around tomorrow and this helped me study and understand this extremely complicated subject

  • @unknown_person5905
    @unknown_person5905 Рік тому

    You are a great teacher

  • @becccccm67
    @becccccm67 Рік тому

    An elementary school teacher always told me "dividing fractions is as easy as pie, flip the second and multiply." I'm in highschool and I still remember it haha.

  • @SOuless01_
    @SOuless01_ 5 років тому +6

    bro 2:42 its 2 thirds he go it backwards

  • @joseorellana8113
    @joseorellana8113 6 років тому +9

    I just want to make sure, but did you mean divide by x(x+4) at the end?

    • @brianmclogan
      @brianmclogan  6 років тому +7

      yes, thanks for looking out Jose

    • @chrispequot8884
      @chrispequot8884 5 років тому

      Was gonna say the same thing forgot the (x+4) should definitely try to clarify everything for the people at home

  • @ThriftyWhite
    @ThriftyWhite Рік тому

    Bro TYSM, I struggled so hard to understand this

  • @nickyglennon5668
    @nickyglennon5668 6 років тому +11

    At the beginning, when you 1/2 x 4/3 = 4/6, you said it reduced to 3/2. 4 doesn't reduce to 3. It reduces to 2, so it would have been 2/3. Is that correct, or am I missing something? Sorry, it's been 10 years since I graduated high school, and I'm trying to refresh my memory on math, lol.

  • @jonathan0778
    @jonathan0778 10 місяців тому

    Thank you! 🙂

  • @Cloud_Heart
    @Cloud_Heart 5 років тому

    Love this UA-cam channel

  • @ravisiddamreddy
    @ravisiddamreddy 4 роки тому +2

    thank u this helped me a lot

  • @-glass-rose-2118
    @-glass-rose-2118 3 роки тому

    I just checked, this was made in 2014 wow. Still helpful but i just hope i can do good on my next (last test of the year).

  • @vortexventamy
    @vortexventamy 4 роки тому

    Thank you so much

    • @mathfullyexplained
      @mathfullyexplained 3 роки тому

      Try my channel mathfullyexplained. Unit on rational expressions plus more units

  • @shanei8649
    @shanei8649 3 роки тому

    Thank you

  • @Loly.55
    @Loly.55 3 роки тому +1

    In 2:40 isn’t 2\3? because 4 divided by 2 it will 2 not 3 and 6 divided by 2it will be 3

  • @idzseb_2474
    @idzseb_2474 Рік тому

    what happened to the (x+4) at the very end? why’s it suddenly not part of the final calculations

  • @mohammedalkhars4822
    @mohammedalkhars4822 6 років тому +3

    ma boi thank you

  • @howdy5025
    @howdy5025 3 роки тому

    thank you

  • @shouko4017
    @shouko4017 4 роки тому +1

    Have a test tommorow it apppears I don’t get it :(

  • @paulajohnson7924
    @paulajohnson7924 6 років тому +3

    So with x+5/3x * 9x^2/x+5 would it equal 3x^2?

    • @brianmclogan
      @brianmclogan  6 років тому

      no you cannot divide terms across addition

  • @darkskywithmoon17
    @darkskywithmoon17 2 роки тому

    Math was my favourite lesson but now it is really hard to get it

  • @hypex7868
    @hypex7868 4 роки тому +2

    This step at 2:01 my teacher took a year too explain that one step

  • @humandahuman9990
    @humandahuman9990 3 роки тому

    at the end what happened to the (x+4) ???

  • @Kal798
    @Kal798 Рік тому

    thank you so much you saved my ass

  • @rylinjohns1370
    @rylinjohns1370 3 роки тому

    What do you do with the x+4 at the end

    • @mathfullyexplained
      @mathfullyexplained 3 роки тому

      Try my channel mathfullyexplained. Unit on rational expressions plus more units

  • @CamiloSanchez1979
    @CamiloSanchez1979 2 роки тому +1

    This video confuses more than it helps.

  • @sephangelo4603
    @sephangelo4603 3 роки тому

    My only problem with rational expressions is finding the area of a triangle with this concept.

  • @forevershampoo
    @forevershampoo 4 роки тому +1

    I know here in America many community colleges use Pearson for online education. I have completed 2 math classes through this company via my school and it is a terrible math interface when it comes to providing any help or teaching anything. It is really pathetic and fragmented when you compare the examples to the homework. The biggest issue is they do not fully explain and make the assumption that you know all of these things that you may not know. That is not teaching. I have gone to Mclogan for both classes and his videos got me through the classes. Pearson should really give Mclogan the contract because what they are providing is not adequate.

  • @haley6146
    @haley6146 3 роки тому

    it’s 11:30 pm and i have a test tomorrow i was absent a lot cause i get sick a lot and i can’t go with a cold cause of covid idk what i’m gonna do if i fail this i won’t get my grade up in 2 days before the trimester ends

  • @esmeraldacastellanos4891
    @esmeraldacastellanos4891 4 роки тому

    ok i now all this stuff and um i now it a diffrent way so this just got me cunfused

  • @frenchdevilmediscontinued1957
    @frenchdevilmediscontinued1957 3 роки тому

    hero

  • @user-xy6bo5jp5m
    @user-xy6bo5jp5m 2 роки тому

    can someone please explain to me how 4/6 reduces to 3/2

    • @ohnaw223
      @ohnaw223 2 роки тому

      it doesnt, remember hes not perfect and can make mistakes!

  • @humbertonavarrete3830
    @humbertonavarrete3830 2 місяці тому

    You reduced 4/6 to 3/2 in the division.

  • @flyman4084
    @flyman4084 3 роки тому

    4/6 reduces to 3/2?

  • @lindsaycantillan8137
    @lindsaycantillan8137 3 роки тому

    how to factor if it is a prime number??

    • @lindsaycantillan8137
      @lindsaycantillan8137 3 роки тому

      pls help im failing math and my family is not so proud

    • @gopro3879
      @gopro3879 3 роки тому

      Bit late, not a math expert, but prime numbers are ONLY that number and 1, take 5 for example, it HAS to split into 5 x 1, so in favoring like 5x^2 + 6x + 1 it would split as (5x + 1) (x + 1), don't mind the + parts only the 5x and the x

    • @gopro3879
      @gopro3879 3 роки тому

      Sorry if it doesn't help much, just saw this and tried to help out

  • @lukebfuckinwgrapes
    @lukebfuckinwgrapes Рік тому

    i gotta math quiz tommorow half way into the vid i’m ode bored

  • @austingwhuia9wgui
    @austingwhuia9wgui 2 роки тому +1

    remember me3

  • @johncarlofficial203
    @johncarlofficial203 5 років тому

    Where did you get the 5?

  • @destinyashly8467
    @destinyashly8467 5 років тому +2

    I think i lost my brain by trying to think this equation

  • @xandertaneo7095
    @xandertaneo7095 3 роки тому

    Can you solve this a + 4/a2 + 7a + 10 × a2 + 6a + 5 with solution pls im failing my marh class ;((

    • @mathfullyexplained
      @mathfullyexplained 3 роки тому

      Try my channel mathfullyexplained. Unit on rational expressions plus more units

  • @Prettyliyaah._
    @Prettyliyaah._ 4 роки тому +1

    I didn't understand and u were going too fast.

    • @mathfullyexplained
      @mathfullyexplained 3 роки тому

      Try my channel mathfullyexplained. Unit on rational expressions plus more units

  • @charlsnace1390
    @charlsnace1390 3 роки тому

    Proud bf here

  • @cherryfrench1495
    @cherryfrench1495 Рік тому

    2/3

  • @ligreen
    @ligreen 4 роки тому

    too bald

  • @danielrabadam283
    @danielrabadam283 4 роки тому +2

    Mahirap ang math

  • @henryvg8825
    @henryvg8825 3 роки тому

    Why do people talk shit about a teacher... To a teacher?

  • @MR.l4xvl
    @MR.l4xvl 3 роки тому

    لا تسوي مقاطع و انت صايم