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Understanding Fractions, Improper Fractions, and Mixed Numbers 

Professor Dave Explains
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Once we know how to divide, we must learn about fractions, because not all divisions will lead to whole number quotients. But there are proper fractions, improper fractions, mixed numbers... what are all these things? Just check this out!
Watch the whole Mathematics playlist: bit.ly/ProfDaveMath
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EMAIL► ProfessorDaveExplains@gmail.com
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7 авг 2017

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Комментарии : 259   
@kevinm4209
@kevinm4209 3 года назад
To be honest I've lived a very unhappy and unfulfilling life just because of math, to say this changed my life would be and understatement. Thanks Dave.
@learningenglishwithalaa1180
@learningenglishwithalaa1180 3 года назад
How is it going with you?
@kevinm4209
@kevinm4209 3 года назад
@@learningenglishwithalaa1180 really good man, I started a new job that took me out of my comfort zone but I’ve put myself through so much math that it was just my anxiety that was messing with me but now I’m actually going back to school to do accounting. I learned mathematics at 28 years old and yea it was embarrassing for me but man I feel really good and I feel like my life is actually taking the turn I wanted it to not being scared to take jobs because I lacked knowledge. These videos legit changed my life man, thanks for asking.
@Alexander-sr7qm
@Alexander-sr7qm Год назад
Why is this so funny
@kevinm4209
@kevinm4209 Год назад
@@Alexander-sr7qm idk lol, you find joy in peoples struggles I guess??? When your folks are dying be sure to laugh hard enough so they can hear you.
@tangankananroschild8485
@tangankananroschild8485 Год назад
how is it going? i want to ask, after 2 years you learn mathematics, is everything so crystal clear? i mean you don't find mathematics is hard things again? maybe a little easier than before? thanks bro
@benndenlabre
@benndenlabre 11 месяцев назад
I am a college student majoring in economics and finance, studying complex economic and financial models. Brushing up my entire math catalogue to sharpen my skills. Just to say, there is absolutely great value in this video series. Thank you for the great content.
@alibinshuja5390
@alibinshuja5390 15 дней назад
Hello! I'm sort of in the same boat, and I wanted to ask has it been beneficial?
@benndenlabre
@benndenlabre 11 дней назад
@@alibinshuja5390 For sure it has been beneficial. I would say it gives you a quicker and more intuitive understanding of the theory, as you more quickly catch on to the mathematical interrelations in the models and theories.
@alibinshuja5390
@alibinshuja5390 10 дней назад
@@benndenlabre Thanks a lot! Wishing you all the best!
@kruasankid9873
@kruasankid9873 2 года назад
I have big troubles with mixed number and improper fractions that I did not properly learn from school. Thank you so much Professo Dave! You made math fun to learn
@volzey
@volzey Год назад
@Gousia Mushtaq Good day! 10/2 is a whole number, as 10 divided by 2 is 5, it doesn't have any of that tail like 5.2. An improper fraction would be something like 11/2, where the value is 5.5, it's got that tail hanging, that .5.
@volzey
@volzey Год назад
@Gousia Mushtaq No problem! Happy to help!
@bonjyotsna_gogoi_
@bonjyotsna_gogoi_ 4 месяца назад
​@@volzey is 2•3/7 equal to 1•10/7,if not why? Is it bcz 10/7 is improper, that's why?
@lodgechant
@lodgechant Месяц назад
I’m a 59-year old who lost the plot with maths at school. It’s been great fun picking up the ball again, and fundamental videos like this one have been a great help. Thanks Dave!
@strawmiomi8322
@strawmiomi8322 4 месяца назад
a 17 year old watching, i find this super helpful. all my school life ive been struggling, i still am. but i am facing it. thank you so much professor Dave !
@LeoNux-um7tg
@LeoNux-um7tg 3 месяца назад
Me too, my teachers when I was in high school were too brutal and demotivating. I want to relearn all these.
@siimplyrayyy8181
@siimplyrayyy8181 8 дней назад
@@LeoNux-um7tg same for me, wishing you guys good luck
@malms4026
@malms4026 3 года назад
Dave, you are seriously saving me. My teacher always explians stuff so the "smart" kids can understand, I always seem to fall behind. Thanks dave My Adblocker is off to you :D
@maruwan-dono
@maruwan-dono 10 месяцев назад
yeah this is one way to help ; since i started this series i was like i hope he doesnt block it or go to patreon cuz i ve got o money to give .. So i ll be watching with ads.. thanks
@XiaVhani
@XiaVhani 5 лет назад
Showing this to my students tomorrow. Very well explained. Just Subscribed.
@icysun7452
@icysun7452 4 года назад
rise
@RF_N
@RF_N Год назад
i wish my teachers were like this
@yuinurahilyon5711
@yuinurahilyon5711 4 года назад
I never thought that I would learn to love Math in learning it and from answering the checking comprehension. Before I never thought that I could get better at math but due to your videos I am able to realize something really important, thanks Professor Dave.
@animeoo7
@animeoo7 3 года назад
Same bro he is one of the best teacher I've ever seen
@HellooDae
@HellooDae 7 месяцев назад
I do not know the average age of the people who watch this series, but if I had to assume, I would say they're probably a lot younger than me. I am 21, a CS major with an associate degree. I never struggled with math until high school. Math was very tough, and I decided to sleep rather than to attend my final test which resulted in me failing math. I do not regret any of my decisions, I know that now I am a young adult watching a RU-vid video about improper fractions and mixed numbers, and to some individuals that's perhaps pathetic, but I realized I could never excel at this field if I do not start from the very basics. I created a learning schedule with a deadline and everything and I decided to include this series into my schedule. It has been pretty useful. English is not my first language, and hearing some of these terms was insightful.
@Damian-vu2hu
@Damian-vu2hu 19 дней назад
Can I ask? How do you do now?
@summermc2965
@summermc2965 9 месяцев назад
Can’t believe how easy these actually are. Thank you for your service Dave 🙌🏽
@DoubleNat
@DoubleNat 4 месяца назад
I did my first improper fraction at 24 without help, took me like 25 minutes but I got there tysm. This is the beginning of a journey
@derkaderkda
@derkaderkda 4 года назад
Thank you Professor Dave! I am enjoying studying math with the kids and watching your videos
@timsn274
@timsn274 5 лет назад
'When we have a fraction like this, we can manipulate it any way we want by simply doing the same thing to the top, or numerator, and the bottom, or denominator'. This explains why students in calculus do things like (x+6)/(x+7) = 6/7
@ProfessorDaveExplains
@ProfessorDaveExplains 5 лет назад
Haha, fair point. No adding and subtracting!
@timsn274
@timsn274 5 лет назад
@@ProfessorDaveExplains If you want this to be useful, you have to make this point clear. The example I gave above is not uncommon in college calculus courses. I even had a large group in Calculus III who had serious problems with fractions.
@Tornadopelt
@Tornadopelt 3 года назад
"(x+6)/(x+7) = 6/7" That rustles my jimmies, and I don't even know why.
@pickleyum2405
@pickleyum2405 Год назад
I was only taught to find the common denominator which takes me quite sometime to calculate. What a simple technique! It's faster and I actually understand it. I'm not just following instructions. Thank you!
@ahannajustinz7011
@ahannajustinz7011 3 года назад
You're just incredible professor Dave Hats off for teacher like you
@Divine_Discoveries
@Divine_Discoveries Год назад
Miracle Miracle I am understanding Mathematics!, Thanks Prof Dave
@retos-ph9ly
@retos-ph9ly Год назад
at first this was sooo hard to understand, i watched a couple of videos and then came back and now i understand, i feel ashamed i didn't know the basics but i will keep going
@Titanxproduction
@Titanxproduction Год назад
how did it go for u bro are u still bad at maths?
@retos-ph9ly
@retos-ph9ly Год назад
@@Titanxproduction it went well but my first english isn't language, so for college all the stuff is in my native language i mix it up so I think I'll just continue to learn it in spanish, although this channel is good
@koushii636
@koushii636 16 дней назад
im a senior in highschool preparing for my cet's. this video series is a huge help because my basics aren't very strong, so learning from here is a great place to start. thank you so much professor!
@sanvan5245
@sanvan5245 16 дней назад
Lol me too for cet of course, Reasoning,gk,English is solid but maths is liquid 😢😢
@izzyrey9261
@izzyrey9261 2 месяца назад
I struggled all thru school with math dropped out in 10th grade. 32 now and getting my hsed thru a tech College and these videos has helped me a ton. I take my math test tomorrow if I pass I get my diploma. Thank you so much Dave
@Aaron_1112
@Aaron_1112 2 месяца назад
W
@Aaron_1112
@Aaron_1112 2 месяца назад
Did u pass
@izzyrey9261
@izzyrey9261 2 месяца назад
@Aaron_1112 I didn't I scored 144 1 point below passing. They aren't making me re-take the test just had to do some compency test. Which I did yesterday. I graduate on May 16th. Thank you for asking have a wonderful day
@alyxkrieger6764
@alyxkrieger6764 2 года назад
Math makes me feel anxious, but I'm glad to say that my answers were all correct! :) Thank You for helping me build confidence in mathematics.
@tf8324
@tf8324 Год назад
This is the first time in my life that I've ever answered fraction problems correctly. Thank you so much for your help, I'm sure with these videos I'll pass college algebra.
@nero5971
@nero5971 6 месяцев назад
How is it going?
@PalasBrown
@PalasBrown 7 месяцев назад
you teaching math with funny way, thanks professor dave!!
@xZieiqps2-hejks
@xZieiqps2-hejks 3 месяца назад
I've forgotten my fractions but to think I'd be so happy after solving the checking comprehension problems is so funny! I'm cheering for myself!
@agamotto8186
@agamotto8186 10 месяцев назад
Ok this is where my mind goes 🤯 like literally i watch the pizza prt 5 times and still gets all the questions wrong i need to keep continuing this till i get it
@Jasmita-8
@Jasmita-8 Год назад
Thank u very much for the awesome session professor Dave !
@Arbnor93
@Arbnor93 10 месяцев назад
I enjoyed Math in high school, but never chased it ever since. I’m now a software engineer and want to learn all the way until calculus, and so far this has been great
@nero5971
@nero5971 6 месяцев назад
How did you become a software engineer, if you don’t mine me asking, I want to go into that field as well
@Arbnor93
@Arbnor93 6 месяцев назад
@@nero5971 idk where you’re from but in the UK we have programs called “apprenticeships” where you study and work same time, I did that for 1.5 years and got offered a full time engineer role after, in same firm. It’s the easiest way in the UK if you didn’t study CS at uni/college. Now after 3 years i’m fairly confident at a few things, but i do mostly SRE stuff, not as much coding as before. Would highly recommend, it’s low pay for 2 years max but now my salary tripled so worth that pain Edit: i will just add, it also helps if you enjoy tech, and not just get into it for sake of it.
@Dr._Vita
@Dr._Vita 17 дней назад
I finally understand division thanks to you
@thekn0wingchimp905
@thekn0wingchimp905 2 года назад
Your videos are great, thank you professor Dave for your great work.
@cathyb9108
@cathyb9108 5 лет назад
I need to find something to help my frustrated 4th grader get his mind around these concepts. I like it visually, and he's upbeat. I think it goes a little fast though, and as I'm watching it thinking how my son will receive it, I imagine him getting overwhelmed. I'll have to certainly have him pause it, rewind and rewatch in segments ...or should I say fractions?!!
@ProfessorDaveExplains
@ProfessorDaveExplains 5 лет назад
don't forget you can do 0.75 speed or even 0.5 speed! that helps a lot of people who need it slower
@Jay-pc2ev
@Jay-pc2ev 2 года назад
This is where everything went down hill but I finally understand.
@deepcore2220
@deepcore2220 6 месяцев назад
Thank you now I understand improper fractions better. It just seemed not logical before
@Stardust_Wizard
@Stardust_Wizard Год назад
Do you know how mad I am to realize its this simple, I feel like my elementary years were wasted on complex explanation. I have been bamboozled and am only now figuring out fractions.
@pablosancristo8745
@pablosancristo8745 4 года назад
Thank You. For giving me knowledge today, and for the rest of my life, professor dave.
@reallycoolnerd33
@reallycoolnerd33 6 месяцев назад
my man can teach what would take an entire term in primary to go over, in 6 minutes.
@hg77777
@hg77777 6 лет назад
thank you so much for helping us all ! amazing work !
@anthonystark6215
@anthonystark6215 Год назад
Thank you, professor!
@didindh5667
@didindh5667 Год назад
Thanks d.dave you make math something lovely to learn
@angelicarodriguez3934
@angelicarodriguez3934 5 лет назад
No puedo creer que vi su video tres veces y pude obtener todas las respuesta del test correctamente. honestamente estaba en zeros. MUCHISIMAS GRACIAS
@learningenglishwithalaa1180
@learningenglishwithalaa1180 3 года назад
Is this a spanish?
@catlover11789
@catlover11789 Год назад
@@learningenglishwithalaa1180 yes, he/she says that he/she watched the video 3 times and got all the right answers in His/her test
@Carrymejane
@Carrymejane 6 месяцев назад
Wow, u blown my mind, u solve the biggest mystery that my teacher never answered when i was in junior high school😮
@fabricioperez6957
@fabricioperez6957 4 года назад
Dave you are legendary!
@onyedikapromise6416
@onyedikapromise6416 Год назад
I'm glad I found these math lessons.
@RPisa2416
@RPisa2416 Год назад
Thanks Professor Dave!
@azreen3477
@azreen3477 Год назад
for converting mixed fractions to improper fraction example: 3/1/2 is a mixed number 1. 2*1 is 2 2. 2+3 is 5 3.7/2 to convert the improper fraction back to a mixed number: 1.5 divide by 2 2.we know that 2*2=4 so: 3 2/7 -6 1 3.list them: 3 a c 2/7 -6 1 b a/b/c 3/1/2
@angiehill9654
@angiehill9654 2 месяца назад
im 16 in homeschooling (Junior) Im looking to get my GED early and studying to qualify for the test. Ive never been good at math so revisiting basic math and it is helping a ton. 100% love these vidz
@Roymustang2008
@Roymustang2008 Месяц назад
Ur 16 but junior ur supposed to be in high school right?
@gmrb5249
@gmrb5249 2 года назад
I actually never learnet this, it's really useful and surprisingly interesting :)
@klutzy_
@klutzy_ 3 года назад
This is how math should be taught in school!
@IHaveFaithLoveHope
@IHaveFaithLoveHope 4 года назад
Thanks for sharing videos.
@user-gy2zq4be2h
@user-gy2zq4be2h 5 месяцев назад
Your way of teaching is very good I have no words to praise you , u even makes biggest concept simple i enjoy learning at you❤
@hameedashareef2880
@hameedashareef2880 4 года назад
Thank you now i understand the fractions and mixed fraction
@JaneCooper190072
@JaneCooper190072 4 года назад
This is around where I left off in school, well, maybe a little higher but I will start from scratch.
@mosi2811
@mosi2811 4 года назад
Oh man me to and I regret it now ;(
@JaneCooper190072
@JaneCooper190072 4 года назад
@@mosi2811 It's never too late to learn. 😊
@sankhayanbhaumik6452
@sankhayanbhaumik6452 3 года назад
Well Explained Sir.......
@stefane2153
@stefane2153 5 месяцев назад
Finished the exercises at the end, it took me a while to get the answers but I'm happy that at least the second one, I got all the correct answers. Math always been hard for me but I feel so happy when I get one answer right😍
@feecceswhydidichosethisnam7762
You're awesome thank you so much for teaching us.😄😄😄😄
@izzyrey9261
@izzyrey9261 2 месяца назад
Thanks!
@user-or4lw4hk9r
@user-or4lw4hk9r 4 года назад
first thank you mr.dave seconde can i ask you what books you are recommanded for me for the first steep with video
@angelicarodriguez3934
@angelicarodriguez3934 5 лет назад
Thank you so much, long time without practice fractions, amazing work thank you so much.
@Starman.2957
@Starman.2957 4 года назад
Thank You
@Garfield_Minecraft
@Garfield_Minecraft 6 месяцев назад
I eat pizza 16/8
@karenrincon9212
@karenrincon9212 4 месяца назад
Omg I'm just learning English. I can understand all that he says but it's really difficult to pay attention at both things, language and maths, JAJAJA. Absolutely a good exercise, I'll write here when I finally get it.
@_practice_1881
@_practice_1881 2 года назад
Thank you 🙏
@hameedashareef2880
@hameedashareef2880 4 года назад
Good explanation
@ShawnGottii709
@ShawnGottii709 Месяц назад
I’ve always struggled with math therefore avoided it 30 years old Now and am making it a goal of mine to understand it better
@qedmaths520
@qedmaths520 Год назад
can we conclude mixed fraction as a part of whole? i think so. expecting your answer.
@peepeepoopie2012
@peepeepoopie2012 Год назад
professor dave you are savin my life
@sakshamgoel1957
@sakshamgoel1957 7 лет назад
U are great sir
@aziratee
@aziratee 9 месяцев назад
I'm almost a high school student and ever since 3rd grade I've struggled so much with math to the point I got sick of it. It's been a desire of mine to be good at math for a while, and I've taken the decision to start math from scratch.
@CondensedComments
@CondensedComments 10 месяцев назад
4:33 I can see saying 6/8 leaves us with two slices left over, but how does reducing that to 3/4 still mean you have two left over? Wouldn't that be 1 left over? Does it just mean the one slice is a big as the previous two slices put together? So it's essentially the same because the proportions are equal? We would still say 1 slice is left over though. Is it a good idea to reduce the fraction when the original equation is dealing with x/8 slices? When the chef is used to 8ths wont he be confused by 3/4?
@cedesl3553
@cedesl3553 4 месяца назад
I’m having a really hard time wrapping my head around the whole converting fractions to mixed and improper.
@IloveJesus_paris
@IloveJesus_paris 2 месяца назад
Me too!! I’ve be rewatching and I still can’t understand it
@hosseinomidi7464
@hosseinomidi7464 Год назад
Good job
@Chanchalganvir7june
@Chanchalganvir7june 10 месяцев назад
thank professor dave
@mohamedromdhani1545
@mohamedromdhani1545 6 месяцев назад
Amazing 🎉
@user-hu2uy5pi5p
@user-hu2uy5pi5p 2 месяца назад
Will you believe if i said that each episode take from me over than half hour because of the language ? I'm not a native english speaker but i'm trying to learn with Professor Dave so i have to tanslate a lot of words so i can understand . Thank you Professor because you're teaching me maths and english at the same time . 😅❤
@ruthivie2793
@ruthivie2793 3 года назад
lol the intro makes me laugh agree?
@yotubewatcher2497
@yotubewatcher2497 Год назад
Thanks it was hard i had rewatch it but i will be geneous some day
@anabheatrissouza7876
@anabheatrissouza7876 2 года назад
You’re doing great here, but it kind of lost me when you reduced at 4:38 because I couldn’t quite understand how and why you did that and which was the result I should write down. I am a studant with dyscalculia so understanding this kind of stuff is harder to me...
@nathailyahh2279
@nathailyahh2279 2 года назад
Watch on 2:00 He divided the numerator and denominator by same number
@nathailyahh2279
@nathailyahh2279 2 года назад
When you covert 30/8 into improper fraction, it becomes 3 3/4. He divide the 6/8 by 2 and 3 6/8 is just a mixed fraction of 30/8.
@benedictdube
@benedictdube Год назад
@@nathailyahh2279 This is a bit hard to grasp
@adhil8918
@adhil8918 3 года назад
Thanks professor....
@PrismYuuzuki
@PrismYuuzuki 2 года назад
I have dyscalculia. I managed to get the improper fractions into big numbers, but the top number was wrong when I tried the mixed numbers to improper grammar fractions questions.
@jamshidmalikov9024
@jamshidmalikov9024 2 года назад
Wonderful
@animetoksi5570
@animetoksi5570 2 года назад
I don't have any ideas of this lol thank you professor Dave I regretted cause I didn't try to understand it and I wasn't taught well. I guess I'll have to learn more even though I'm 15 years old now
@tcysafta.
@tcysafta. Год назад
After pretending to understand all the fractions stuff throughout my highschool years... I can finally say with honesty, " i understand fractions, improper fractions and mixed fractions."
@saibharosaannadhanseva
@saibharosaannadhanseva 3 года назад
I understand sir ️ ☺️
@maysmith6753
@maysmith6753 7 лет назад
Subbed.
@cccccccssssss
@cccccccssssss 8 месяцев назад
No way I was actually having problems with this bro 💀
@venkateshp.5232
@venkateshp.5232 4 года назад
Thanks buddy
@joyceaquino7917
@joyceaquino7917 3 года назад
Thank you now my kids know the fraction 📕😄👩 thank you again
@sarac5360
@sarac5360 7 лет назад
Wow, I finally understood improper fractions and mixed numbers. Thank you!!!
@CeCe-fh2ix
@CeCe-fh2ix Год назад
I love your videos
@dustcars5800
@dustcars5800 Месяц назад
When can you do a series on English and how to develop new vocabulary?
@alygad3731
@alygad3731 Год назад
Amazing
@GrogCavemanson
@GrogCavemanson Год назад
im homeschooled because i cant go to real school due to stupid decisions i made before and now i can properly learn what i couldnt in 3rd grade thanks to you also sorry for the sentence not making sense i didnt learn punctuation enough to make proper use of it
@ljr6490
@ljr6490 Год назад
And on the flipside, is there an elegant formula for improper to mixed. Maybe something along the lines of \frac{A}{B} = B in A \frac{A mod B}{B}
@angelicaesturban7777
@angelicaesturban7777 4 месяца назад
This is better teaching me then my teacher teaching me what 2+2 is
@vanguard4065
@vanguard4065 3 года назад
Hello Dominos? Yes I’d like 30 eighths of pizza please.
@funnysapiens
@funnysapiens 2 месяца назад
I somehow did the calculations right but failed to properly understand the pizza example. :")
@vinodkchauhan5321
@vinodkchauhan5321 3 года назад
Sir if we explain 2/3 in diagram we can easily show it in a single picture but sir how to explain 3/2 in a single picture ? It's confusing, please clear it!
@ProfessorDaveExplains
@ProfessorDaveExplains 3 года назад
one circle plus half a circle
@kellsliving3220
@kellsliving3220 3 года назад
Professor Dave Explains I’m a college student have a disability I think this well help me I never understood math but now I really want to learn it I don’t care how old I am never to late to learn I just like for people to help me understand instead of telling me what’s I don’t understand
@NabiruBogdan
@NabiruBogdan 7 месяцев назад
Nice
@thebananaman7716
@thebananaman7716 Год назад
1:06 im a little bit confused here, right it says 1/8 right? then that means should only be 7 slices of pizza there but it shows all 8 slices because when he showed 2/8 of the pizza it removed two slices but earlier at 1/8 none were removed.
@hardarm98
@hardarm98 Год назад
yeah, theres a bit of visual ambiguity going on with these animations. the arrow is basically pointing towards a single slice. a slice is 1/8s of the pizza. then when he says "if you eat two slices of pizza", the two slices are then removed. because you ate them. those slices are 2/8s of the pizza. i hope it's clear
@ljr6490
@ljr6490 Год назад
Am I right in assuming the formula for converting from mixed to improper is A * \frac{B}{C} = \frac{A * B + C}{C}?
@julesnonconformist
@julesnonconformist 2 месяца назад
hit the like button to this comment if you randomly decided to recall some math in 2024 (you finished school a long ago)
@LegendOfKarogane
@LegendOfKarogane День назад
😂Nah I got an entrance exam to prepare for .
@julesnonconformist
@julesnonconformist День назад
@@LegendOfKarogane best of luck!
@user-ti4bm4md5y
@user-ti4bm4md5y 2 года назад
good vid
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