Understanding Fractions, Improper Fractions, and Mixed Numbers

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!
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[@kevinm4209]

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]

How is it going with you?

[@kevinm4209]

@@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]

Why is this so funny

[@kevinm4209]

@@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]

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

[@strawmiomi8322]

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]

Me too, my teachers when I was in high school were too brutal and demotivating. I want to relearn all these.

[@siimplyrayyy8181]

@@LeoNux-um7tg same for me, wishing you guys good luck

[@benndenlabre]

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]

Hello! I'm sort of in the same boat, and I wanted to ask has it been beneficial?

[@benndenlabre]

@@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]

@@benndenlabre Thanks a lot! Wishing you all the best!

[@kruasankid9873]

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]

@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]

@Gousia Mushtaq No problem! Happy to help!

[@bonjyotsna_gogoi_]

​@@volzey is 2•3/7 equal to 1•10/7,if not why? Is it bcz 10/7 is improper, that's why?

[@user75301]

@@bonjyotsna_gogoi_ ye ur right theyre equivalent. 1*10/7 is 2*3/7 simplied afterall

[@lodgechant]

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!

[@malms4026]

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]

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

[@HellooDae]

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 KZbin 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]

Can I ask? How do you do now?

[@capp1306]

I am about to do CS, lol. brushing as much as I can. What else did you brush up?

[@XiaVhani]

Showing this to my students tomorrow. Very well explained. Just Subscribed.

[@icysun7452]

rise

[@RF_N]

i wish my teachers were like this

[@yuinurahilyon5711]

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]

Same bro he is one of the best teacher I've ever seen

[@DoubleNat]

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

[@summermc2965]

Can’t believe how easy these actually are. Thank you for your service Dave 🙌🏽

[@koushii636]

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]

Lol me too for cet of course, Reasoning,gk,English is solid but maths is liquid 😢😢

[@capp1306]

Hands down the best simplest explanation in my life. Yesterday, the time I was watching I struggled to Understand, struggled! Today, I slowed down the video, with calm I started getting it and I won't forget!!

[@pickleyum2405]

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!

[@cccccccssssss]

No way I was actually having problems with this bro 💀

[@anylife_photography]

That's why we're here! I was left behind at school with math, even though I actually liked it. I wish I could have been able to pause and rewind. This is why group learning doesn't benefit everyone when we learn at different rates.

[@julesnonconformist]

hit the like button to this comment if you randomly decided to recall some math in 2024 (you finished school a long ago)

[@LegendOfKarogane]

😂Nah I got an entrance exam to prepare for .

[@julesnonconformist]

@@LegendOfKarogane best of luck!

[@retos-ph9ly]

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]

how did it go for u bro are u still bad at maths?

[@retos-ph9ly]

@@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

[@alyxkrieger6764]

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.

[@derkaderkda]

Thank you Professor Dave! I am enjoying studying math with the kids and watching your videos

[@ahannajustinz7011]

You're just incredible professor Dave Hats off for teacher like you

[@tf8324]

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]

How is it going?

[@izzyrey9261]

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]

W

[@Aaron_1112]

Did u pass

[@izzyrey9261]

@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

[@anabheatrissouza7876]

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]

Watch on 2:00 He divided the numerator and denominator by same number

[@nathailyahh2279]

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]

@@nathailyahh2279 This is a bit hard to grasp

[@Divine_Discoveries]

Miracle Miracle I am understanding Mathematics!, Thanks Prof Dave

[@Pekorakora]

Same haha

[@Arbnor93]

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]

How did you become a software engineer, if you don’t mine me asking, I want to go into that field as well

[@Arbnor93]

@@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.

[@D3NPC]

I finally understand division thanks to you

[@lazycake1386]

Thank you so Much Mr. Dave! I’m a high schooler who failed elementary fractions! This really helped me a lot, so excited to watch more of your videos!

[@PalasBrown]

you teaching math with funny way, thanks professor dave!!

[@timsn274]

'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]

Haha, fair point. No adding and subtracting!

[@timsn274]

@@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]

"(x+6)/(x+7) = 6/7" That rustles my jimmies, and I don't even know why.

[@joelthepizzawizard493]

thank you for creating this playlist. I'm in college: I passed Algebra 1 & 2 and getting ready to do College algebra. I will keep you guys updated when I catch up to that level.

[@cathyb9108]

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]

don't forget you can do 0.75 speed or even 0.5 speed! that helps a lot of people who need it slower

[@angelicarodriguez3934]

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]

Is this a spanish?

[@catlover11789]

@@learningenglishwithalaa1180 yes, he/she says that he/she watched the video 3 times and got all the right answers in His/her test

[@Garfield_Minecraft]

I eat pizza 16/8

[@pablosancristo8745]

Thank You. For giving me knowledge today, and for the rest of my life, professor dave.

[@agamotto8186]

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

[@deepcore2220]

Thank you now I understand improper fractions better. It just seemed not logical before

[@Carrymejane]

Wow, u blown my mind, u solve the biggest mystery that my teacher never answered when i was in junior high school😮

[@anylife_photography]

Thank you professor Dave! Fractions have always confused me. It took me 2 or 3 attempts watching the video, but i managed to complete the test at the end of the video, which i would have never been able to do before!

[@xZieiqps2-hejks]

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!

[@stefane2153]

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😍

[@karenrincon9212]

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.

[@JaneCooper190072]

This is around where I left off in school, well, maybe a little higher but I will start from scratch.

[@mosi2811]

Oh man me to and I regret it now ;(

[@JaneCooper190072]

@@mosi2811 It's never too late to learn. 😊

[@angelicarodriguez3934]

Thank you so much, long time without practice fractions, amazing work thank you so much.

[@reallycoolnerd33]

my man can teach what would take an entire term in primary to go over, in 6 minutes.

[@klutzy_]

This is how math should be taught in school!

[@Jay-pc2ev]

This is where everything went down hill but I finally understand.

[@azreen3477]

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

[@Jasmita-8]

Thank u very much for the awesome session professor Dave !

[@cedesl3553]

I’m having a really hard time wrapping my head around the whole converting fractions to mixed and improper.

[@IloveJesus_paris]

Me too!! I’ve be rewatching and I still can’t understand it

[@didindh5667]

Thanks d.dave you make math something lovely to learn

[@fabricioperez6957]

Dave you are legendary!

[@anthonystark6215]

Thank you, professor!

[@hg77777]

thank you so much for helping us all ! amazing work !

[@angiehill9654]

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]

Ur 16 but junior ur supposed to be in high school right?

[@onyedikapromise6416]

I'm glad I found these math lessons.

[@sarac5360]

Wow, I finally understood improper fractions and mixed numbers. Thank you!!!

[@peepeepoopie2012]

professor dave you are savin my life

[@qedmaths520]

can we conclude mixed fraction as a part of whole? i think so. expecting your answer.

[@ruthivie2793]

lol the intro makes me laugh agree?

[@thekn0wingchimp905]

Your videos are great, thank you professor Dave for your great work.

[@aziratee]

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.

[@user-gy2zq4be2h]

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❤

[@gmrb5249]

I actually never learnet this, it's really useful and surprisingly interesting :)

[@TRAZExYT]

I am not ashamed to watch this video as a 15 year old, My teacher should be ashamed!

[@amirulrahmat5551]

thaks Professor dave

[@ShawnGottii709]

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

[@CondensedComments]

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?

[@user-or4lw4hk9r]

first thank you mr.dave seconde can i ask you what books you are recommanded for me for the first steep with video

[@user-hu2uy5pi5p]

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 . 😅❤

[@dustcars5800]

When can you do a series on English and how to develop new vocabulary?

[@yotubewatcher2497]

Thanks it was hard i had rewatch it but i will be geneous some day

[@JoelMcCary]

Division The top number or left number is a dividend The bottom number or right number is a divisor and the end product is a qoutenent When the divisor is bigger then the dividend we get a fraction 2/8 can reduce to 1/4ths If 2 fractions have the same denominator it is easy to see which one is greater If the dividend is the same on both but the divisior is bigger on one tje one with the bigger divisor is the smaller number

[@PrismYuuzuki]

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.

[@vinodkchauhan5321]

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]

one circle plus half a circle

[@kellsliving3220]

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

[@Rose-uo9ci]

I just found this while im stuck in quarantine and this has been very usefull!!!!💖

[@angelicaesturban7777]

This is better teaching me then my teacher teaching me what 2+2 is

[@vanguard4065]

Hello Dominos? Yes I’d like 30 eighths of pizza please.

[@RPisa2416]

Thanks Professor Dave!

[@tanishqkhilnani1288]

I want to start studying for GRE. To what extent will this series help?

[@ProfessorDaveExplains]

A lot if you get all the way to college level math.

[@hameedashareef2880]

Thank you now i understand the fractions and mixed fraction

[@izzyrey9261]

Thanks!

[@tcysafta.]

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."

[@feecceswhydidichosethisnam7762]

You're awesome thank you so much for teaching us.😄😄😄😄

[@ljr6490]

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}

[@GrogCavemanson]

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]

Am I right in assuming the formula for converting from mixed to improper is A * \frac{B}{C} = \frac{A * B + C}{C}?

[@maysmith6753]

Subbed.

[@sakshamgoel1957]

U are great sir

[@Chanchalganvir7june]

thank professor dave

[@sankhayanbhaumik6452]

Well Explained Sir.......

[@funnysapiens]

I somehow did the calculations right but failed to properly understand the pizza example. :")

[@cheesay404]

appreciated. i

[@_practice_1881]

Thank you 🙏

[@Starman.2957]

Thank You

[@hameedashareef2880]

Good explanation

[@olympiadwainekhytep.4123]

I've watched your video "Negative Numbers". Now I'm wondering, is there a negative fraction?

[@ProfessorDaveExplains]

of course, any number can be negative

[@martin3953]

You start out by calling it dividend and divisor, and then you switch it around and start calling it numerator and denominator. Which is it?

[@ProfessorDaveExplains]

the first terms correspond to division, the latter to fractions, which technically is division. things can be called more than one thing.

[@hosseinomidi7464]

Good job

[@MarxMuru]

Never understand it, never will. Some brains are just not wired for math.

[@IHaveFaithLoveHope]

Thanks for sharing videos.