Comparing Fractions 📚

[@eternity4537]

wished i would have known this in like 5th grade lol

[@sunnydesigns470]

My teachers in 3rd made us do math above our grade level so I kind of learned this too soon

[@SkylerThekyler17]

True

[@DanniManni]

I never learned this I just did now

[@shortcrypto7490]

@@DanniMannithey teach this like 3rd 4th grade lol

[@DanniManni]

@@shortcrypto7490 I never learned this where I’m from the only thing I know is arthimteic and algebra

[@calebferguson2767]

The reason this works is because of how "Getting common denominators" work To make 10 and 11 have the same base, you usually can multiply them -> 10 * 11 is 110 Now to make each numerator match each base, so the fraction stays the same you multiply each numerator with the other's base: 7 * 11 is 77 -> 77/110 8 * 10 is 80 -> 80/110 but because the denominators are the same, and since we're just comparing, in this example we simply ignore the bottom

[@caynereed8988]

Alegbra moment

[@prathix4339]

We had the same method here in italy, it is better long term imo

[@bradensorensen966]

They do the exact opposite and get common numerators. It’s a similar approach though.

[@dickdeadeyesez]

@@caynereed8988 I didn’t understand algebra as a child and being a man child I didn’t ask for help

[@doyouknoworjustbelieve6694]

What he did is a roundabout way of saying: 8/11 divided by 7/10 = 8/11 x 10/7 = 80/77 which is > 1 Therefore 8/11>7/10

[@kk464546]

thanks for showcasing the hack for comparing fractions! Your clear explanation and demonstration make it easier for me to grasp the concept. Impressive breakdown of the fraction comparison hack!

[@saxxxxxmanL]

robot?!??

[@natedogtrainer3812]

Welcome to 4th grade. We’ve missed you

[@hectorheath9742]

The remainder 3/11 is clearly less than 3/10.

[@Jakeswxrld27]

yea so 8/11 is larger

[@kraken_8]

Yes but sometimes the numbers won’t be so clean

[@Othensadd]

What about 9/11

[@kraken_8]

@@Othensadd unfunny as hell

[@Jake-cc7ie]

You can think of it like when a sports team wins a game their winning percentage should always go up unless they already have a 100% winning percentage

[@Dr._Atom]

Not even a hack, this is what everyone's been doing smh 😒

[@camerond2534]

They each have a 3 difference and I know that 3/11 is smaller than 3/10

[@pgplaysvidya]

the basic explanation is that if the two fractions are equal you get the same number 7/11 and 7/11 - you get 77 and 77 using this, you can apply the inequality preservation this is, if you multiple an inequality by the same number you preserve the inequality 5 < 7 , right? and 5*5 < 7*5 (25 < 35) so now you do the thing in the video. The reason this method works is that by cross-multiplying, you’re effectively scaling both fractions to have the same hypothetical denominator (the product of the two original denominators). This allows you to compare the numerators directly, which represent the scaled values of the fractions. If one scaled numerator is larger than the other, then the corresponding original fraction is larger.

[@poketube6224]

7 to 8 is a larger growth percentage than 10 to 11. Thats the fastest way to know

[@Gladaed]

Nah, you just need to spot that the change makes any fraction grow towards 1. This skips all math.

[@doyouknoworjustbelieve6694]

What he did is a roundabout way of saying: 8/11 divided by 7/10 = 8/11 x 10/7 = 80/77 which is > 1 Therefore 8/11>7/10

[@snekksuperior]

@@doyouknoworjustbelieve6694 Or he did 77/110 < 80/110

[@reyabcde]

​@@Gladaed🤔

[@adrian_kaye]

Yeah, 1 more in each; bet 7>10

[@dsoulliere]

Or just use common sense. If someone has made seven out of 10 free throws and then they make the next one so now they’re eight out of 11. What number would be the higher free-throw percent?

[@JamMC]

Most teachers wouldn’t give you the mark since it’s not the proper way. I’d only use this if it’s answers only.

[@thinkingmom6259]

Could you please construct a lesson on Gauss-Jordan 2X3. Thanks!

[@nathanon7177]

Why 2x3?

[@veggieprod]

in algebra 2 ( assuming thats when yuou are learning it as I did) you are allowed to use a ti-84 caluclator. Look up a tutorial it is super easy and u don;t have to do it by hand.

[@adrianlindberg6112]

just imagine adding 1 to the top and bottom infinite times and you notice it gets closer and closer to one

[@SIYAACHARYAA]

How? I can't understand!

[@busenialakadaretmez17]

@@SIYAACHARYAAthink about 10/13 100/103 and 100000/100003 it gets closer to one

[@Kyitsui77]

Just imagine being 7/10 in baseball and getting a hit, average goes up lol

[@anliqi7750]

I can't comprend what this person just explained but I can tell that 8/11 is larger because both fractions are missing three pieces from the whole and the numerator on the right is cut into more pieces than the numerator on the left, so each missing piece in the fraction on the right is smaller than each missing piece in the other fraction.

[@AverageLowElo69]

I can explain. So basically, you want the demonators to be equal, so you need to change the denominators by multiplication. But you cant change the values, so you multiply each by one. The first one, you multiply by 11/11, and the second one, you multiply by 10/10. Now, the demoninators are both 110, and the numerators are 77 and 80 respectively. 80 is bigger, so the second one is right

[@TheDerlick]

Your way is very good. It demonstrates a good understanding of fractions. For example, it's the same idea with 1/2 < 2/3 < 3/4 < 4/5 < 99/100..... My son understands this type of problem in this more conceptual way, too.

[@0w3nn]

Yes. If you add the same amount on the numerator and denominator, it's going to become larger, because the amount missing (3) will never change.

[@AverageLowElo69]

@TheDerlick that isn't a great way if you can't understand the other way too, since it ignores most fraction problems, and it's hard to go into calculating with fractions as well.

[@TheDerlick]

If somebody isn't familiar with this type of problem, they surely gained no conceptual understanding of it after watching the video. You and I know the reason for cross-multiplying: the common denominator is 110, 11•10. The guy in the video gave no explanation of the concept. So the person who doesn't yet understand why this guy cross-multiplied but understands that 3/11 is smaller than 3/10 so therefore 8/11 is larger is still demonstrating a knowledge of fractions, imo. I compared it to my son whom I homeschool. He is very poor with math mechanics like how this guy solved the problem in the video yet he has a fantastic understanding of fractions using visual/conceptual means.

[@dSuperr]

What’s bigger, 1/4 or 1/5?

[@vg1236]

My nerdy ass that just estimated it in my head and got it right. 😊

[@oozychubs5-3]

As a 4th grader, I can say it helped me with my homework. Thank you for the help 😊

[@momolovesbbq]

Isn't this primary school math?

[@trevorkoi2460]

I just did 10% each for the 7/10 so 70 and 8/11 9.9 each and 9x8 without all the .9 is already 72

[@devansh8846]

You can get screwed if you write 80 below ten and 77 below 11and then compare the answers🤣🤣🤣

[@samiyaku4532]

Pro Tip: Actually try to understand the concept instead of relying on tricks

[@Not-Axo]

Pro Tip: theres always a C

[@lolbeans.io123]

bruh we learned it like this

[@babusseus1105]

Another way to imagine this is following the pattern of increasing numerator and denominator infinitely. As both increase, the value of the fraction will increase up to a limit of 1, while decreasing it will end up at 1/4, since they both have the form of n/n+3. That means that for every value of n, the smaller n will have a lesser value.

[@EvropaEU]

I don’t calculate, i just go off vibes. 8/11 feels larger, so therefore it is larger.

[@SocksWithSandals]

I saw that n/n-3 would tend to 1 in the limit, so the higher n, the bigger ratio.

[@Shiroi_Okami_44]

Dividing: am I a joke to you?

[@candy10.25]

it takes longer

[@tncshindiru2663]

Honestly i noticed something and it seemed to work. If a fraction has a numerator and a denominator that’s exactly 1 more than the other fraction then it’s bigger. For example 10/11>9/10>8/9>7/8>6/7>5/6>3/4>2/3 So for 7/10 and 8/11 using this logic 8/11 is simply bigger.

[@bluebear2912]

3rd grade math 🔥🔥🥶🥶🗿🗿

[@bluebear2912]

Fr 🥶

[@mintex96]

​@@bluebear2912Blud did u just come back to this comment a month later just to reply "fr🥶" to it💀💀💀💀

[@bluebear2912]

@@mintex96 nah found it on fyp again thought might as well

[@JohnnyCao-py3tg]

Bro is talking to his own comment on accident 💀

[@bluebear2912]

@@mintex96 nah it was on my fyp and I decided to reply again

[@tingbrian5437]

Nonono this is a stupid way to do it. Here is better way to figure out without doing calculations. Comparing 24948/43976 and 24951/43979 we cannot use the method you teach without using a calculator. Have you ever play a game that shows winrate? Imagine you win 24948 games in a total of 43976 games. Then you played threee more games and win all, which you win 24951 games in total of 43979. As you win all, ur winrate must be higher, which 24951/43979 is greater than 24948/43976. I call it winrate method.

[@apostolosnikolis5281]

Wait... Didn't you guys do this at school? In Greece this is taugh in 5th or 6th grade, we would call it σύστημα καπελάκι or καπελάκια

[@jonathanparsons461]

What I do is I look for differences in the numerator and denominator. I just say "8 is 1 bigger than 7" in the numerator and "11 is 1 bigger than 10" in the denominator. 1/1 = 1, which is obviously greater than 7/10, so 8/11 is larger. This should work for any differences. For example, if you wanted to know if 9/13 was bigger than 7/10, you would do 9-7 = 2 in the numerator, 13-10 = 3 in the denominator. 2/3 is less than 7/10, so 7/10 is larger.

[@roelsfotoos]

This so called "hack" fails miserably though when you compare 7/10 to (-8)/(-11). Since -77 > -80 this would suggest that 7/10 is the biggest number which obviously is not the case❌.

[@NoBudgetBits.]

this is just math

[@doyouknoworjustbelieve6694]

What he did is a roundabout way of saying: 8/11 divided by 7/10 = 8/11 x 10/7 = 80/77 which is > 1 Therefore 8/11>7/10 …

[@billanderson9908]

No, I take that back. You said, "Just 77." You have to quit saying "just." It adds nothing to your communication skills or to your explanation.

[@bobzt]

Or just realize that the differences to a whole are 3/10 and 3/11. 3/11 is smaller than 3/10 so 8/11 must be larger than 7/10. It's logic rather than math.

[@rk-fb5hw]

This is incomplete and does not explain why it works. And you have to remember which one, without justification, is larger.

[@plucas9324]

2 seconds in your head. Multiply 7x11 and 8x10. 77 is less than 80, therefore 7/10 is less than 8/11. Done.

[@fitimismani1201]

For people saying its hack, no its not u learned in school but better than this guy telling u, U learned in school to make the dominator even and u get the answer. But u didnt learn in school u wanna learn here, nahh after 2 weeks u will forget this.

[@turnipaitor]

So 1/2 < 1/3?

[@zon6158]

or you can just put 7/10 and 8/11 in the calculator and pick the bigger number instead of making it mad complicated like this

[@Sasha_-vq5ux]

In reality, we multiply the denominators of a fraction by each other and get the same number in denominators, but as we know, if the denominator is the same, then the fraction is greater, whose numerator is greater, Here they decided to skip multiplying the denominators, and immediately multiplied the numerators in their minds and compared them, there is no magic

[@rameinaussie]

does this work just add the numerator and denominator the bigger number win, here 7+10 is 17 while 8+11 is 19😂

[@danielpipkorn8620]

The first fraction is less than 1 and you essentially added 1over 1 to that number.

[@toddgood8925]

Here's how I think. Each has a difference of 3..... 11 is bigger than ten so the 11s difference is smaller than the 10s difference. since less is being taken from 11 it is bigger. I knew without doing any math at all.

[@Rudolf215]

Even if you converted these fractions into decimals, a person can see eight elevenths is bigger than seven tenths. Since eight elevenths in decimal form 0.73 and seven tenths is 0.7.

[@thepistolguy859]

Turn them to decimals and pick the bigger one that's even easier

[@PoposteriousExe-ph5em]

I see you graduated in your pfp where from because you messed up a basic question and said 7 over 10 is 77 it equals 70😊😊

[@emojimr4427]

I just used 3.14🥧...x both denominators... Use 1/2bh x reciprical 11/8 (A+H+C) /2 1/2.....-0.39 top numetator and denominator ....1/2 the answer /5 ..... There's your answer it's simple that way and faster...plus it's easy because i have a Degree unlike most you subs👨‍🎓

[@polarshorts3358]

Shut up

[@sidecrck3164]

Its not easier

[@kidkid]

At least make the bait believeable 😂

[@nathanglenn1618]

The left is missing 3 tenths to be a whole, and the right is missing 3 elevenths. 3 tenths are bigger than 3 elevenths, so more is missing from the left, therefore the fraction on the right is a larger portion.

[@ClyWhite-l1g]

The difference is .02 which is meaningless when it comes to anything except dividing up the ice cream.

[@lucaslzt]

In general I think it's more productive to teach to make the least common denominator for both fractions so you only compare the numerator

[@placeholderfornow4766]

that's what this is

[@davidmccourt6139]

Consider extending this sequence in either direction, from 0/3 up to 97/100. Now which is bigger?

[@thiennhanvo2591]

97/100 obviously 0/3 is just zero

[@davidmccourt6139]

@@thiennhanvo2591 Right, so that's how you can reason that the fraction with larger numerator and denominator separated by three must itself be larger

[@Terraman001]

Dude. Look: in % 1 in 10 and 11 is smaller than in 7 and 8. THE ANSWER IS 8

[@ImmenseJ-tard8253]

Thats high school level??? Buddy its literally simple division for both

[@irman3105]

To prove it make both denominators to 110, 77/110 < 80/110...answer 8/11

[@bdawg5855]

Or just divide 7/10 and 8/11 and you’ll see that it’s 0.7 and 0.73 😂😂😂

[@melsPerson]

no good enough eight is greater than seven and eleven is greater than 10. Your way 💔 My way♥️

[@rkay.gaming]

Or you could just divide them 😂. 0.7

[@asparkdeity8717]

What if the question was asking between 472 / 959 and 1038 / 2126?

[@lucasugafan4419]

@@asparkdeity8717 calculator

[@waliansari9467]

@@lucasugafan4419 it’s probably in the no calculator section

[@AverageLowElo69]

​@@lucasugafan4419you won't always have a calculator on test

[@dawithayth6338]

@@waliansari9467they be giving you the calculator when you don’t need it but when you do need it they don’t allow you to use it.That really be annoying

[@hiteshnayak4560]

8/11 is bigger because 7/10 0.7 and 8/10 0.8 no multiplication needed

[@secretmanPFD]

im assuming everyone that's bewildered by this video is american. your education system really isnt that great is it.

[@Starlight-heart]

Well yeah but if there’s a question show your answer you can’t show that but its a good way to solve a problem

[@ders972]

Or you can realize that 3/10 is bigger than 3/11 so 8/11 is bigger than 7/10

[@Arcangel0723]

the derivative of n - 3 / n is positive for all n above 0, therefor n - 3 / n is an increasing function.

[@tizmemc]

Yea, we learnt this in 3rd grade. Good job showing what we all knew for like decades

[@sillyking1991]

yeah! lets double down on teaching people arithmetic instead of mathematics!

[@chandler6443]

Basically it's what's bigger 7/10 or infinity/infinity+3

[@mouthiknaradas962]

You have to make both fractions have the same denominator them compare the numerator to see which one is larger

[@dxbdxb6404]

Is this a trick or the actual solution??? My brain has a hard time understanding math

[@AdrianHernandez-ci9np]

7/10 ? 8/11 77/10 ? 8 7.7 < 8

[@my_world4you]

yes! best way. the butterfly method! so easy! helped me in 4th grade.

[@timseytiger9280]

Oh hell no, just subtract both from 1: 3/10 > 3/11 so 7/10 < 8/11.

[@DamnIsThatAPro]

In my mind I deduce it from 1/4 < 2/5 < 3/6 < 4/7 y’all get it

[@MovenClips]

Lol, where i come from you have A, B, C, D, All of the above and none of the above

[@ENRGSEEKER]

This is called the butterfly method and mathematicians still can’t explain why it works

[@m4rzb4rz-qq3yq]

Except they literally can 😂

[@FakeDogs]

What on earth are you on about? Its just giving them the same denominator, mathematicians 100% know why it works

[@ENRGSEEKER]

THEY’RE NOT GETTING COMMON DEnominatorS AT ALL

[@TastySalamanders]

@@ENRGSEEKER Yeah they are; they just skip that part because it's irrelevant to the question: i.e. The video just shows multiplying 7 by 11 and 8 by 10. But if it showed the denominators they would both become 110. So 7/10 becomes 77/110 and 8/11 becomes 80/110.

[@m4rzb4rz-qq3yq]

This is what fortnite does to you lmaooo

[@agueroishim]

Next video: How to do Addition

[@CandyKane069]

2 + 2 = 4

[@Kier_but_who_cares]

19 + 21 = 30

[@lilylimbu5164]

@@Kier_but_who_cares 40

[@UnanimousDelivers]

You should have included a proof. Regardless of whether it's effective or not, showing it this way is no better than saying "trust me bro, it works"

[@janusbarg6344]

Just add up 1 number 9/12 is 0.75 whereas 7/10 is 0.7.

[@nolxverodin9022]

Eadier way divide the too number and the bottom number then x by 100

[@theonewhoasked513]

Its mostly just common sense to find their LCD to have the same denominator

[@realcirno1750]

can you make harder videos it will benefit people around the world

[@richardgamin5883]

Where's your work? I don't even know if what you said it's true

[@retrotube3050]

It’s 7/10ths

[@yamother5913]

NBA 2k my career has been prepping me for this moment 🤣b baby

[@team.sbx17]

Bro cqnt you just divide thats a 4 or 5th level question 😂😂

[@yetanothercsstudent]

The main way to do it just so happens to be the super easy way to do it...

[@takeontravel9076]

I have an easy way too 8*9 72 which is greater than 70.

[@missourian7451]

Could also divide 7/10 and 8/11 to get it in percentage form

[@growtocycle6992]

If they have a calculator, yes

[@Rudolf215]

@@growtocycle6992it’s not hard to get percentages out of fractions in your head.

[@flyingfox417]

It’s not a hack,just the normal method 🤦‍♂️

[@chrisbell8594]

Am I the only one who learned this in school in about 4th grade…

[@samuelrussell5760]

Faster is just to realize that 3/10 is more than 3/11.

[@kymanilamothe6021]

No dip my teacher thought us this it’s not no life hack

[@ElijahAllen-h3c]

Bro literally showed us the way everyone knows and learned

[@grivitastb]

or you can just do 10-7=3 11-8=2 3>2

[@dayancommodore959]

I mean sure that's the right answer but 8/11 is .72

[@michaelribeiro4818]

Letter B

[@billanderson9908]

What is the difference between "77" and "just 77?"

[@Platzhalterxy]

wtf? you dont see that instantly when you see the numbers?

[@me_is_here760]

thats the same as making it 80 over 110 and 77 over 110