How to Multiply Mixed Numbers? Basic Math Review

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  • čas přidán 3. 07. 2022
  • How to Multiply Mixed Numbers? Basic Math Review
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Komentáře • 702

  • @MathTeacherGon
    @MathTeacherGon  Před rokem +15

    For Sharpie Markers you can visit their online stores:
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    • @markhemmerle
      @markhemmerle Před rokem

      2/8 should have been 1/4
      that much I already knew ☺️

  • @mrch33sehed93
    @mrch33sehed93 Před rokem +147

    I've taken math up to Differential Equations and forgot all this primary school math 😅

    • @MathTeacherGon
      @MathTeacherGon  Před rokem +16

      whoa... You need to remember this for sure...😊

    • @fridaynight7434
      @fridaynight7434 Před rokem +5

      ur allowed to use calculator that’s why

    • @zaibiee3519
      @zaibiee3519 Před rokem +3

      Where were you 60 yrs ago😁

    • @coxb29
      @coxb29 Před rokem +5

      Man I sucked at math in school I barely passed, but I was excellent in history, reading comprehension, and essay writing hahaha!

    • @mandeemorris2835
      @mandeemorris2835 Před rokem +2

      Same hear i do my maths in my head and literall yh forgotten the highschool way of working out ..old but can still relearn . Good for the brain

  • @ritakus9871
    @ritakus9871 Před rokem +78

    Thank you for the nice brush up. Sometimes we forget the little things when we haven't done this for so long.

    • @joecorrie1
      @joecorrie1 Před rokem +1

      There’s a reason you haven’t done this for so long?

    • @Hadex01
      @Hadex01 Před rokem +6

      @@joecorrie1 yes, it's because you usually don't use the useless maths stuff they teach at school, in the real world.

    • @kendrazeykiah9548
      @kendrazeykiah9548 Před rokem +1

      ❤️‍🩹

    • @MathTeacherGon
      @MathTeacherGon  Před rokem +1

      You are very welcome

  • @MathTeacherGon
    @MathTeacherGon  Před rokem +8

    Follow my facebook page: facebook.com/MathTutorialsforFree

  • @ValerieL.62
    @ValerieL.62 Před rokem +27

    My 7th grade math teacher in the 70's told us something about dividing fractions that I'll never forget. "Yours is not to question why, just invert and multiply."

    • @RETROSHADOW2999
      @RETROSHADOW2999 Před rokem

      Hahaha

    • @shellianne5767
      @shellianne5767 Před rokem +3

      As a teacher I agree. Knowing why is not important for the exam.

    • @Aardappelpurree
      @Aardappelpurree Před rokem +2

      knowing why helps to remember it properly though. when i was a peercoach for students id always try to find an explanation for why things were done a certain way.

    • @georgeslupski5987
      @georgeslupski5987 Před rokem

      the thing your 7th grade teacher should have said was "I will show you how to do this but u will never ever use it in real life"

    • @FelixIsLosing
      @FelixIsLosing Před rokem

      @@georgeslupski5987 You'll never use math if you are a middle to lower class factory worker. All the people that make >$100 k/year, all those people that you envy all have put in the work to learn math. I agree with you, if you work construction or a minimum wage retail job you won't need more than a 4th grade level of math. Doesn't mean that you were a bit stupid and lazy in high-school to the point of not learning grade 6-7 algebra, that you have to push your narrative about your inability to do math and how it wasn't useful for you. Everyone uses and does maths at their job except the low income disposable or replaceable workers in society.

  • @tangoindiamike9189
    @tangoindiamike9189 Před rokem +15

    I paused the video at 15 seconds, and solved the problem in mere seconds. I got 14 and 3/10. I converted the fractions to decimals, multiplied, and got 14.3.

  • @terrid6349
    @terrid6349 Před rokem +23

    I was taught this in primary school. Never forgot the basics as schools were good in the 70’s.

    • @dimitriusa
      @dimitriusa Před rokem +3

      They were good in the 50s & 60s, too. 😃

    • @DisneyFan1
      @DisneyFan1 Před rokem +1

      Currently, in school. Still good!

    • @shellianne5767
      @shellianne5767 Před rokem

      You sound like a West Indian.

    • @DrageLee
      @DrageLee Před rokem

      @@DisneyFan1 Eh.. as a student myself I don't neccesarily agree.. but ok.

    • @DisneyFan1
      @DisneyFan1 Před rokem

      @@DrageLee Depends on the country. As a student, I quite enjoyed primary school and secondary is still pretty good. I was trying to point out school wasn't just good in the 70s, 60s or 50s. Not all schools are enjoyable and I understand and there will be schools like that in the 70s, 60s and 50s.

  • @clarerocha7050
    @clarerocha7050 Před rokem +11

    Thnks. I am a retired individual. I always hated maths becyi could never understand mixed fractions. But sir, you made it so simple with your explanation. Gbu

  • @neninocencio9325
    @neninocencio9325 Před rokem +5

    Oh my goodness! I completely forgot this lesson during my school days. How nice to watch this video it refreshes my brain. Thank you young man.

  • @king20james
    @king20james Před rokem +12

    So many ways to get to the correct answer. Always good to see how other countries/languages solve equations...

  • @Arkyuu
    @Arkyuu Před rokem +17

    If only these kinds of video existed when I was in elementary, I would've been better at mathematics.
    Kids today can just have quick refreshers for lessons they might have forgotten after a long and tiring day at school.
    Thank you for this, nonetheless

    • @jasminmanalo4964
      @jasminmanalo4964 Před rokem +2

      Same thoughts. Yan lagi kong sinasabi sa anak ko, napaswerte nila may ganito na.

  • @asilakud5422
    @asilakud5422 Před rokem +8

    The calmness of your voice and clarity of your teaching method.makes it more easier to understand. I had hope.that during my schooldays, I had a mentor such as kind as your tone. Unlike, my teacher who threw eraser at her student once haven't answered incorrect. Such a rude mentor brought us nervous breakdown.😔

    • @gopinathanaugustinemunusam911
      @gopinathanaugustinemunusam911 Před rokem

      I like your voice n8ce to keep hearing it. you must be a good Philipino

    • @alissagonzales735
      @alissagonzales735 Před rokem

      I had a teacher that loved a yard stick. She enjoyed using it on her students. I told her if she used it on me that my mother would tar and feather her.

  • @jamesanthonygreen8233
    @jamesanthonygreen8233 Před rokem +5

    I greatly enjoyed watching this video. It was a nice refreshing course while doing some of the problems in my head.

  • @tiffanycuevas1660
    @tiffanycuevas1660 Před rokem +16

    If the teacher would of showed me how to do it like that I would have had no problem understanding it when I was in school 🤷🏻‍♀️

    • @agtechnology8999
      @agtechnology8999 Před rokem

      You're pulling my leg right? Surely you are trolling....this is literally the way everybody in my class, the class before me, the 2 classes after me, my younger brothers, both sisters and even my own kids now have learned this....well over 42 years total. I KNOW you are shitting me.

    • @Luiszerep
      @Luiszerep Před rokem

      Lol, don't lie bruh. You just suck at it.

    • @chinemeremflorence8108
      @chinemeremflorence8108 Před rokem

      Exactly

  • @thereserivera7691
    @thereserivera7691 Před rokem +2

    Your ethnicity confirmed at the end with Tagalog--- Filipino- 1 of my husband's brothers was a brilliant math professor in Baguio City & elsewhere in PI--my 8 & 10yr old math loving grandsons will enjoy these tutorials. Salamat🙂🙏

  • @essencetoney933
    @essencetoney933 Před rokem

    I haven't done this in over 20 years. Great refresher

  • @olusegunabisoye2594
    @olusegunabisoye2594 Před rokem +7

    Answer: 14 2/24 = 14 1/12

  • @mochipink.
    @mochipink. Před rokem +5

    Omg thank you!! I've been looking for a vid with no simplifying and this is perfect♡
    I was stuck on this part 1:32 because I thought I had to do something else but now I know you just need to multiply. Again THANK YOUUUUU

  • @ummuhamzahz181
    @ummuhamzahz181 Před rokem +2

    This is the old style during my time in 80-90s. My kid is learning different style of calculating nowadays

  • @yourlocalweirdo2731
    @yourlocalweirdo2731 Před rokem +4

    This really helped me, I was having quite some trouble with Mixed Numbers and had to use calculators once given homework, it didn't feel right, and during class, my class and I would have to redo it and show our work on paper, which was very frustrating.

  • @viatranquilla
    @viatranquilla Před rokem +7

    We are taught things that we will never ever use or rely on..

    • @catryn413
      @catryn413 Před rokem +3

      Spot on!

    • @catryn413
      @catryn413 Před rokem

      @@mbd6054 No ledge.. and it's not always the truth

    • @katielove9932
      @katielove9932 Před rokem

      I still believe in being taught the basics and run with that knowledge.

  • @292teacher
    @292teacher Před rokem +8

    Just the way I remember learning it as a kid! Great job!

  • @jane_7193
    @jane_7193 Před rokem

    Thank you! I'm with you! I instinctively get it and Iam amazed because when young, I skipped learning math and an unskilled teacher was the main reason. And I never did my homework.

  • @michaelconners2805
    @michaelconners2805 Před rokem +2

    I was so close ! Left HS in 1966 . Kudos teachers !!

  • @jameshook6675
    @jameshook6675 Před rokem +3

    Next time we'll learn at what point in our lives we are going to use this knowledge...

  • @georgemorrison9280
    @georgemorrison9280 Před rokem +25

    Convert the numbers using decimalisation to 2.6 x 5.5 then reconvert the result back into fractions if required .

    • @ks0969
      @ks0969 Před rokem +6

      Ended up doing that mentally. 14.3, then 14 3/10. Still got it, after 100 yrs

    • @-sensibleChris
      @-sensibleChris Před rokem +4

      That's the real world common sense way👍

    • @EnriqueRodriguez-kx1yo
      @EnriqueRodriguez-kx1yo Před rokem

      @@ks0969 me too. Too easy.

    • @snorky4506
      @snorky4506 Před rokem +5

      But that defeats the purpose of the lesson. What if the next problem is 3 1/3 × 4 3/8? There's gonna be trouble!

    • @williamhodgson3920
      @williamhodgson3920 Před rokem

      6u

  • @anan0mie
    @anan0mie Před rokem

    I forgot all my elemental school maths ever since algebra came in during highschool, this is a nice refresher

  • @maribelllamelo797
    @maribelllamelo797 Před rokem

    Salamat po Sir,mejo nagising ulit Ang antok sa math Kong utak.

  • @TheMsmith77
    @TheMsmith77 Před rokem +1

    Subscribed! Needed a refresher. Thanks 👍

  • @samanthastevens4197
    @samanthastevens4197 Před rokem +4

    OMG i am 55 years old and completely forgot all about how to do this, which makes me feel terrible. Thank you, great video. :)

  • @Rei_thegamer27
    @Rei_thegamer27 Před rokem

    WE NEED THIS TEACHER!!!!!

  • @sergiosaviola7940
    @sergiosaviola7940 Před rokem +6

    Thank you !! For a moment you took me back to my early years of school! I wish I could had some like you as a teacher back then!!!😃

  • @RZ-sh6yi
    @RZ-sh6yi Před rokem +1

    Old school and I love it!

  • @133rip
    @133rip Před rokem +2

    What's a practical example of needing to know how to use this?

  • @malditangbuotan
    @malditangbuotan Před rokem +1

    Thank you. How I wish nauseous Ang yt noong AKO nag hs dahil ito math ang hell ko noon. I passed it to my child.

    • @MathTeacherGon
      @MathTeacherGon  Před rokem +1

      Sana nga po naging available na ito dati pa... Salamat po sa pag share ng aking video..

  • @reggiemccoy3265
    @reggiemccoy3265 Před rokem

    Wow Thanks For Taking Me Back To My School Days As I've Grew To Understand It Really Helps To Save Alot Of Money In Life.

  • @Leonie1125
    @Leonie1125 Před rokem +2

    Thanks for the video. In math we wouldn't write mixed numbers because it's just too hard to work with them. Only in the end we would take the full numbers out and write it like this. Hope this makes sense I'm from Germany and don't know how to explain math in English

  • @billypoe3703
    @billypoe3703 Před rokem

    Salamat po tagapagturo.

  • @fannieallen6005
    @fannieallen6005 Před rokem

    Very good of you to teach this.

  • @chriskim2109
    @chriskim2109 Před rokem

    Salamat po Teacher Gon❤ 👨‍🏫

  • @taibatyusuf8007
    @taibatyusuf8007 Před rokem +1

    Nice work

  • @richardpoynton4026
    @richardpoynton4026 Před rokem +5

    Useful reminder on how to do basic maths. You have GREAT handwriting, by the way!

    • @MathTeacherGon
      @MathTeacherGon  Před rokem

      wow...thanks for appreciating my content and my handwritting

    • @thereserivera7691
      @thereserivera7691 Před rokem

      All my husband's family & Filipinos I know have beautiful, neat handwriting(method taught in PI)😊♥️🙏

    • @jackgarrison8497
      @jackgarrison8497 Před rokem

      @@MathTeacherGon The higher Types of Math sure does get very confusing and complicated

  • @sonnyroy497
    @sonnyroy497 Před rokem +10

    Thank you for the refresher course. It's been decades since I did this in school. I always liked fractions, I guess because my dad sat with me patiently and showed me as many times as needed ❤️.

    • @MathTeacherGon
      @MathTeacherGon  Před rokem +2

      wow..thanks

    • @xDream_Aura
      @xDream_Aura Před rokem

      @@MathTeacherGon
      I am usually reluctant to attempt or to try out a fraction problem sum, but after this video, I found that fractions may not be as difficult as I think it is. Thanks a lot again!! 😁

  • @jenadonacao299
    @jenadonacao299 Před rokem

    Mrame matutunan dto sir,,👏

  • @leolamadrid9158
    @leolamadrid9158 Před rokem +1

    mahina ako sa math.pero ngayon may edad na ako as madali kuna intindihin.kasi magaling yon turo mo maituturo ko din sa anak ko.

  • @ipintol8780
    @ipintol8780 Před rokem +9

    I'm not so master when it comes to mathematics I think I just need a closer look to study on it , thanks to this vlog ,and thank to you sir I want to learned on mathematics it's been a long time that i already forgot this.

  • @bup8671
    @bup8671 Před rokem +3

    Even though i was confident i knew how to do this and got 14.3 before i clicked on, it was a good video and a good perspective of how this equation is solved in a formal written manner, i do this stuff in my head and then scramble to write it down the exact way i worked it out, as i usually have an atypical method for most problems, great video!

  • @thecapricorn11
    @thecapricorn11 Před rokem +5

    i’m 51 and never had to use this in real life 😂

    • @Alkimachos
      @Alkimachos Před rokem

      I've never used this... even in high school math
      The closest I've come to using this is dimensional analysis in collage chem
      Though I'm starting to think this isn't about being useful, but more about teaching us how to better manipulate numbers to find an answer

  • @zer0skillz725
    @zer0skillz725 Před rokem

    Watching this video made me sad lol, it reminded me of being in math class hanging out with all my friends and goofing around, growing up ain't as fun as it seems, cherish the time left you have in school bc AS SOON as you leave you will want to go back I promise you

  • @ilovemangoesssonlythem1789

    Thank you so much CZcams recommended this and it came out on test I got 18/20 THANK YOU VERY MUCH 😇

  •  Před rokem +1

    This is my favorite subject👌kahit boung araw mag Mathematics kami, hindi ako Tulog. #justSaying

  • @boymusictv6903
    @boymusictv6903 Před rokem

    Thanks for sharing

  • @ladennayoung2939
    @ladennayoung2939 Před rokem +1

    Thanks for sharing. God bless. I remember doing this, back in my day. LOL.

  • @johnpaulcarallas1674
    @johnpaulcarallas1674 Před 2 lety +1

    May bago n nmn akong natutunan❤

  • @khyzzaferrzamayla2061

    Thank you so much teacher Gon your helping me a lot of this problem thanks for teaching fractions thank you

  • @martychavis4859
    @martychavis4859 Před rokem +1

    You brought back memories. I totally forgot how to multiply fractions.

  • @zavanahacid2171
    @zavanahacid2171 Před rokem +1

    thank you teacher gon!!!! ang ganda nyo po mag paliwanag❤

  • @thuquynh8346
    @thuquynh8346 Před rokem

    thx it help me alot since i forgot how to do this fraction!

  • @ashleystevens8431
    @ashleystevens8431 Před rokem +1

    This brought back memories!!! Thanks! 🙂

  • @cleopatra862
    @cleopatra862 Před rokem

    Nice…thank you for sharing. 😁

  • @notMichi_20
    @notMichi_20 Před rokem

    thank you sir makakapasa na ako sa math trime exam ko po

  • @danr2974
    @danr2974 Před rokem

    Excellent teaching.

  • @beybslifeintheus494
    @beybslifeintheus494 Před rokem

    Great job

  • @FranciscoRodriguez-cm1yx

    Math Teacher Gon, thanks for this educational math video. 🤠

  • @stinkypinkeee5085
    @stinkypinkeee5085 Před rokem

    Mrs. Devecchio would love you...thanks for the brush up...

  • @xDream_Aura
    @xDream_Aura Před rokem +2

    Wow! Thanks alot, I never knew that you could actually do that! This video taught me alot!! Thanks so muchh!!

  • @MpumeleloMoyo-zw9xm
    @MpumeleloMoyo-zw9xm Před 2 měsíci

    Thanks for this🎉

  • @ashikaganga3533
    @ashikaganga3533 Před rokem +1

    Great

  • @stacycote1011
    @stacycote1011 Před rokem +2

    I hated math my whole life. I hated it so much, that it caused me to get hives from getting nervous. I'm 48 years old now and I love watching this because there's no pressure to need to learn this monster subject I have hated forever.....which causes me to actually understand what is being said. Thanks for having these videos. I hope I am the only kid that lived that got hives from math😂

    • @mochipink.
      @mochipink. Před rokem

      I like math because it's easy and counting was fun since pre k
      I did not like reading it's hard to understand
      Well most pll like reading so yeah
      Why do you hate math in the past?

  • @onlinepatrol4246
    @onlinepatrol4246 Před rokem +1

    Wow!! I wish my mom taught me that way hahaha!!! That's easier than the way I was taught lol

  • @Solstizzz
    @Solstizzz Před rokem +3

    Tysm! I was very confused on how to do this but after watching this video it helped me a lot, I will definitely do AMAZING on my math test today!!

  • @sandramorey2529
    @sandramorey2529 Před rokem +1

    Thanks for the review. I was happy to find that I still remember .

  • @gloricelalegoro8111
    @gloricelalegoro8111 Před rokem

    Thank you sir!!

  • @joshuaduca5527
    @joshuaduca5527 Před rokem +1

    this is helpful for me even tough for my college i need to apply this basic maths thats not math can do that doesnt mean its only for kids nah when we are not start in the basics we will never learn in this way

  • @elsiederechovlogs629
    @elsiederechovlogs629 Před rokem +1

    Malaking tulong to sakin sir Para sa mga anak ko soon mka teach na ako sa kanila pg gani to fraction

  • @rohiniwijesuriya6470
    @rohiniwijesuriya6470 Před rokem

    What a simple basic method

  • @ArcticWFox
    @ArcticWFox Před rokem +1

    I have never had to multiply a mixed number in my life.

  • @yukibandelholland7776

    Tetimaksih mengingatkan kembali

  • @ankelvejjietv6777
    @ankelvejjietv6777 Před rokem

    Wow 1.2m for two
    Months🎉❤️❤️❤️ galing mo ser

  • @ks0969
    @ks0969 Před rokem +2

    Ty, teacher Gon... had almost forgot how to multiply mixed numbers... been a long, long time since I had too😁

  • @kaym.h.3583
    @kaym.h.3583 Před rokem +1

    It was my weakest in school, I couldn't remember the steps that was and is always my problem 😏l- highly intuitive to science, literature, writing and history 😊

  • @ilachauhan4666
    @ilachauhan4666 Před rokem +2

    So simple way you have explained thank you

  • @George.Andrews.
    @George.Andrews. Před rokem

    This was easy to do in my head.

  • @drewfinisher11
    @drewfinisher11 Před rokem +4

    I remember in 9th grade , they had us multiplying and dividing fractions, I always liked math ,... up until that point,. asked the teacher, give an example of when we will need to do this later in life ,!? dude couldn't do it ,.. looking back at 50 ,what they should be teaching is more square footage ,(what I use almost every day at my job) and stuff like interest rates ,percentages, and maybe how to get affordable car insurance , not busy work you'll never use again ,..🤔

    • @tangoindiamike9189
      @tangoindiamike9189 Před rokem

      Multiplying uncommon fractions is far more uncommon than the more common practice of adding both common and uncommon fractions. Either way, common sense is to convert both common and uncommon fractions to decimals which will bring your answer to a common denominator. It's the common thing to do.

    • @drewfinisher11
      @drewfinisher11 Před rokem +2

      @@tangoindiamike9189 I'm like mad at numbers,.. there's too many of them ,..😠

    • @judyr.2398
      @judyr.2398 Před rokem

      I so agree. What's the point? What a waste of time for most people.

    • @katielove9932
      @katielove9932 Před rokem +1

      That's what's wrong with the system. They don't teach and prepare students what they need to know to make a living. Just like what you mentioned.

    • @tangoindiamike9189
      @tangoindiamike9189 Před rokem +1

      @@drewfinisher11 I used to count all the numbers, but I had to keep starting over, because every time I got to the end, suddenly there were more.

  • @OreoTheTiger3238
    @OreoTheTiger3238 Před rokem

    Thank you for your example's. First I don't know this try and try watching antil I remember how. Thank you for your example's 🙂🙂🙂.

  • @erwincagalitan4190
    @erwincagalitan4190 Před rokem

    Very nice teacher gone.

  • @gaitrielatchman4913
    @gaitrielatchman4913 Před rokem +3

    Thanks so much,you made math so simple.You’re an amazing teacher.💯🙏❤️😇

  • @centexan
    @centexan Před rokem +5

    I do remember how to do this, but I admit for one this simple, I'd just convert to decimals and be done with it.

    • @user-ns1vr1dy9u
      @user-ns1vr1dy9u Před rokem

      这个数字恰巧简单而已,你的换成小数的方法泛用性不高,并且如果遇到无理数很难准确的表达出来

  • @northerngirl1637
    @northerngirl1637 Před rokem +1

    Thanks for the refresher!👍

  • @MrMcNasty44
    @MrMcNasty44 Před rokem

    Thank you for your service as a teacher. "You want to learn this to use this later on in life" : Has never used this kind of math later in life 🤦

  • @MrCold141
    @MrCold141 Před rokem +1

    Salamat sir sa turo ganito lng pala ka easy

  • @JazperOrtega
    @JazperOrtega Před rokem

    It's nice Kala ko limot ko n ung mga yan but every time I watch your videos parang me button n nag open then na a lala ko kung Pa no gawin yan d Pa man nagsisimula ung video.

  • @naturally_nica
    @naturally_nica Před rokem

    I can't believe I remembered how to do this!! 😂

  • @robertdavis1255
    @robertdavis1255 Před rokem +1

    Yes that is how I was taught in 1948 when I started my schooling... cheers 😀

  • @terrifranco1786
    @terrifranco1786 Před rokem +1

    Heeeey!!!! I needed you as a math teacher when I was in grade school lol

  • @Imie81_
    @Imie81_ Před rokem

    Just found you on FB then I'm searching your CZcams channel done subscribe.

  • @sophia-annsmith9277
    @sophia-annsmith9277 Před rokem

    We have been spoiled by the calculator. I clicked on this because I had a short memory freeze solving it. I have been using the calculator too much. To solve a lot of this, the basics are still important. Thanks for this reminder.

  • @nishitaggarwal4527
    @nishitaggarwal4527 Před rokem +5

    Maths is the best subject ever in school hands down. Nothing to memorize. Just simple, pure logic

    • @nishitaggarwal4527
      @nishitaggarwal4527 Před rokem

      @Jay when u start doing questions related to those equations or understand the Derivations behind the formulas it’s not hard to memorize the equations unlike memorizing dates and stuff in history or names in biology

    • @nishitaggarwal4527
      @nishitaggarwal4527 Před rokem

      @Mikaela Mae Suyat depends on whether u gave it a fair chance. Maths is hard only for those who don’t really try.

    • @nishitaggarwal4527
      @nishitaggarwal4527 Před rokem

      @Mikaela Mae Suyat yeah I get what u mean. Perhaps understanding the logic behind the formula or practicing will help? All I’m trying to say is maths is purely logic based and everybody has the same reasoning capabilities more or less. That’s why maths is the best for me. It can be so for u too if u practice by yourself at home honestly

  • @andrewcross8244
    @andrewcross8244 Před rokem +3

    Didn’t get it in HS and don’t get it now.
    Good thing I got into botany where only common sense math applies

  • @Youngsero
    @Youngsero Před rokem

    Thank you