Adding and Subtracting Rational Expressions With The Same Denominators

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  • Опубліковано 22 січ 2018
  • This algebra video tutorial explains how to add and subtract rational expressions with like denominators. You simply need to add or subtract the numerators of the fractions. Don't forget to distribute the negative sign. This video contains plenty of examples and practice problems.
    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

КОМЕНТАРІ • 118

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 місяців тому +5

    Final Exams and Video Playlists: www.video-tutor.net/

  • @mintyychoco4824
    @mintyychoco4824 3 роки тому +175

    The voice is so relaxing unlike those other videos that sound like broken RUBIX cubes

    • @gracia-fg7gd
      @gracia-fg7gd 3 роки тому +22

      You simpin?

    • @theiacia4183
      @theiacia4183 3 роки тому +5

      @@gracia-fg7gd lmao

    • @sai-rl2qg
      @sai-rl2qg Рік тому +3

      @@gracia-fg7gd who wouldn't?..you? Okay

    • @Marcoz_ani
      @Marcoz_ani Рік тому +4

      @@gracia-fg7gd All of my Classmates are simping on him💀

    • @sumdumguy6449
      @sumdumguy6449 Рік тому +4

      @@Marcoz_ani my classmates are too the girls who could draw has made portraits of what they think he looks like

  • @pumkinmathy6835
    @pumkinmathy6835 3 роки тому +29

    This dude is literally one of the best teacher's that have thought my dumb ass brain.

  • @verynormalweirdo
    @verynormalweirdo 2 роки тому +29

    Thank you so much! i was really struggling with this lesson but you explained it in a way that makes it seem easy to do

  • @gachahoacion8488
    @gachahoacion8488 2 роки тому +15

    I’ve fallen in love with your voice

    • @sunshinecity8273
      @sunshinecity8273 4 місяці тому

      I thought i was the only one? I asked to see the face behind dat delicious voice, but no response yet. Will still patiently wait.

    • @mrboogie1716
      @mrboogie1716 2 місяці тому

      ​@@sunshinecity8273chill bro 😭😭😭

  • @georgesadler7830
    @georgesadler7830 2 роки тому +4

    MR. Organic Chemistry Tutor, thank you for another helpful video/lecture Adding and Subtracting Rational Expressions with the same Denominators in Algebra/College Algebra. These examples are similar to adding numbers with the same denominators.

  • @sammyflipaclip
    @sammyflipaclip Рік тому +4

    dawg like wtf I understood every single thing this guy said while my teacher literally confused the living shit out of me

  • @pilotjdb
    @pilotjdb Рік тому +3

    Bro u made it so simple while my school made me so confused.

  • @axjd1408
    @axjd1408 Рік тому +8

    Theres gotta be faster than that, he solve it so fast i cant even keep up 💀

  • @mintyychoco4824
    @mintyychoco4824 3 роки тому +17

    Am I the only one that's falling inlove with the voice? ;-;

  • @pamelalopez5191
    @pamelalopez5191 5 років тому +35

    Damn your voice so fineeeee lmao

  • @sebastianmorales4183
    @sebastianmorales4183 Рік тому +3

    Thank you for this explanation, May God Bless You and His Peace Be Upon You Always!

  • @jonathanmaharaj2048
    @jonathanmaharaj2048 3 роки тому +1

    this is really helpful. thanks

  • @lidinasinalimbo9530
    @lidinasinalimbo9530 Рік тому

    Thank you so much now i know how subtract it

  • @JamesMiller-fp4vn
    @JamesMiller-fp4vn 6 років тому +4

    Could you please do a video on equilibrium

  • @AstelAstarel
    @AstelAstarel 3 роки тому +141

    my teacher sent me this because i failed the test

  • @richan288
    @richan288 5 років тому +4

    OMG THANK YOU SO MUCH!

    • @Basolii
      @Basolii 3 місяці тому

      Yo u still alive?

  • @MrHolzenterprises
    @MrHolzenterprises 3 роки тому

    It was awesome
    I understood

  • @nyuhnerysmexecutioner7963
    @nyuhnerysmexecutioner7963 3 роки тому +14

    jesus this is so simple compare to the unlike denominators which is 20x harder than this XD

    • @jo.6557
      @jo.6557 3 роки тому

      can you tell me, what if the denominator is trinomial like this: x²+5x+6 do I need to factor that out or just copy it?

  • @kikinggwapi4703
    @kikinggwapi4703 Рік тому +3

    I don't get it why u need to distribute the - sign

  • @anxiety3635
    @anxiety3635 4 роки тому +5

    What if its 5x²

  • @subcoder9418
    @subcoder9418 3 роки тому +3

    How Do you get the 4?

  • @Ciel_is
    @Ciel_is Рік тому +1

    How did u get the 4 and 1?

  • @Imagine-to7mq
    @Imagine-to7mq Рік тому

    thanks

  • @user-jz3kh6hd6h
    @user-jz3kh6hd6h 6 місяців тому +1

    In quedtion 3. how did the answer become 3(4x-1)
    ----
    X+2

  • @ariellemariepatinogloria1239
    @ariellemariepatinogloria1239 3 роки тому

    Well, the numerator has x² something, what to do with it?

  • @mrbeltr5833
    @mrbeltr5833 Рік тому

    So what happens if you have different exponents ?! Do you just add or keep the same ?

  • @Alex-Aries375
    @Alex-Aries375 2 роки тому

    what if the first part of the given is two letters with no numbers?

  • @Z4rius
    @Z4rius 3 роки тому +3

    At 0:46 where did you get the (x + 1)

    • @idkwhattoput1866
      @idkwhattoput1866 3 роки тому +2

      7x+7 was divided by the gcf(witch is 7) so it became 7(x+1)

  • @type25user25
    @type25user25 3 роки тому

    yo this lil tecca before he sang Ransom LOL

  • @omes9366
    @omes9366 10 місяців тому +2

    Can you please explain how 7 (x+1) happened?

    • @liahmizu2315
      @liahmizu2315 10 місяців тому +4

      simplyfying the answer, he divide the common factor in 7x+7, which is 7 so 7 divide by 7x becomes x, then 7 divide by 7 becomes 1 so 7(x+1)

  • @Breezy._.
    @Breezy._. 2 роки тому

    Ehat do i do if theres a ^n

  • @JojoLif-nx3vd
    @JojoLif-nx3vd 4 місяці тому

    What of if the denominator is not the same in the equation

  • @tevinfitzgerald8047
    @tevinfitzgerald8047 4 роки тому +3

    how did you get positive 12 when the expression started out with a negative 12?

    • @formx9796
      @formx9796 3 роки тому +1

      Because you do the opposite. When he said "the negative applys to (5X-12) you need to change the variables. Into the opossite, If its negative its positive.

    • @rockypura7683
      @rockypura7683 3 роки тому +1

      since 7x+7 can still be simplified using CMF or factoring using GCF

    • @naii6102
      @naii6102 3 роки тому +1

      @@Drea-fq4lo yeah 7x + 7 can still be simplified, their gcf is 7 so you'll take out the 7 which will make it like this
      7 ( x + 1), when you distribute 7 to the numbers in the parenthesis, it will come out as 7x + 7 so it's correct

    • @amitheabless4606
      @amitheabless4606 2 роки тому

      @@formx9796 when do you apply it? what if it's a positive,do you change the sign to negative?

  • @albairacarlamilg.6615
    @albairacarlamilg.6615 3 роки тому +2

    ur voice sounds like levi from aot

    • @gabt3849
      @gabt3849 3 роки тому

      lmao u simpin?

  • @clementallenabanilla8656
    @clementallenabanilla8656 5 років тому +2

    How did you get the 1?

  • @samliftsgr
    @samliftsgr 2 роки тому

    This dude is the reason I passed 7th grade lmao

  • @zaragozamary5177
    @zaragozamary5177 3 роки тому

    someone help me pleaseeeeeeeeee. in the last problem where did -5x and 3x go?

  • @lf9650
    @lf9650 Рік тому

    can someone please explain how did that became the final answer instead of just 7x+7? please

    • @umopapisdn.
      @umopapisdn. Рік тому

      common monomial factoring i think. 7 and 7 has a gcf which is 7. and 7 divided by 7 is 1 so 7(x+1)

    • @RobertNeDlro
      @RobertNeDlro 6 місяців тому

      @@umopapisdn. why is that necessaryyyyy

  • @annikakirsten5320
    @annikakirsten5320 3 роки тому

    someone please tell me, in 1:48, where did (4x-1) came from

  • @Pastelqq
    @Pastelqq Рік тому

    7/x - 11/x = -4/x

  • @Shypauuu
    @Shypauuu 9 місяців тому

    how did it become +12

  • @shxn1525
    @shxn1525 8 місяців тому +1

    0:44 I don't get it how the heck did it become (x+1) ? 😭

    • @Echo-blitz03
      @Echo-blitz03 8 місяців тому

      You just factored out a 7. Before it’s 7x+7 when you take 7 out, then it becomes 7(x+1) and if you distribute that you come back to 7x+7

  • @deonwilliams9476
    @deonwilliams9476 2 роки тому +1

    Ratio

  • @castmariahcamacho8103
    @castmariahcamacho8103 3 роки тому

    i still dont get it pls help me

  • @nathcoconut7098
    @nathcoconut7098 4 роки тому +8

    HELLO ANGELITES KAYA NYO YAN

  • @nikolaimadudes8931
    @nikolaimadudes8931 3 роки тому

    Foil Method or not?

  • @vivoreecalcet1678
    @vivoreecalcet1678 3 роки тому

    In 7x and 5x why is the answer "12x" and not twelve x squared?

    • @zen01248
      @zen01248 2 роки тому +1

      Because it’s an addition problem, not multiplication, so you don’t have to add up the variables.

  • @ashleyvillanueva8555
    @ashleyvillanueva8555 Рік тому

    Why'd the 12 became - ?

  • @Lenard45
    @Lenard45 2 роки тому +1

    my head hurts

  • @xxepicmasterxxxx3813
    @xxepicmasterxxxx3813 4 роки тому +4

    Your so fast i cant keep up

  • @zacharysalvador5366
    @zacharysalvador5366 9 місяців тому

    I failed my test and i haveto do my lackings

  • @NineAweFour904
    @NineAweFour904 3 роки тому

    My denominator is 3 and 5

    • @jo.6557
      @jo.6557 3 роки тому

      then it's not similar RAE, it's dissimilar one.

  • @niar__
    @niar__ Рік тому

    0:11

  • @thatomofolo452
    @thatomofolo452 Рік тому

    😊

  • @loadedtv2170
    @loadedtv2170 3 роки тому

    i need help it would be nice if ANYBODY can help: 8x+7/y^2-8 - -7x-5/y^2-8
    i really dont understand this plz help me

    • @jo.6557
      @jo.6557 3 роки тому

      solution:
      8x+7/y^2-8 - -7x-5/y^2-8
      combine similar terms:
      8x-7x+7-5/y^2-8
      = x + 2/y^2-8

  • @aivonys
    @aivonys 6 місяців тому

    You make it look easier, but it's not😭

  • @xyreaelyuuki5776
    @xyreaelyuuki5776 3 роки тому

    i really wish your voice was louder

  • @missnakitacaderao9862
    @missnakitacaderao9862 3 роки тому

    3+-10 is -7 yours is two

  • @donthaveanameyetnordoihave6906
    @donthaveanameyetnordoihave6906 2 роки тому

    I still dont understand im just relying on my intuition at this point

  • @SigmaOhioPoliceDepartment
    @SigmaOhioPoliceDepartment 10 місяців тому

    i hate math 🥺 it's not for me i always get 2 out of 15 sometimes 4 out of ten can someone help me out pls

  • @nathcoconut7098
    @nathcoconut7098 4 роки тому +5

    HATDOG HATDOG HATDIGIDIDOG

  • @dylansechico7564
    @dylansechico7564 8 місяців тому

    Too fast

  • @raefiy
    @raefiy 2 роки тому

    bro get harder questions omf

  • @ToxicPythonTheUltimateGamer
    @ToxicPythonTheUltimateGamer 2 роки тому

    Whos here because their math teacher doesn't wanna put in the effort to teach?

    • @Why_do_I_have_subcribers
      @Why_do_I_have_subcribers 7 місяців тому +2

      My math teacher does, except no matter how much she explains, even giving out some tiny details, I still don't understand
      She is genuinely patient, and would try to help those who got the wrong answer to help them understand better