EASY WAY TO SIMPLIFY BIG FRACTIONS

Isabel Explains a quick way to simplify fractions, no matter how big they are!
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[@IsabelExplains]

Do you know another way of simplifying big fractions?

[@ayushpanigrahi0552]

👍

[@paintwithmeartscrafts]

No my math is too hard 😢 285714/999999 I’m trying to make this non-terminating decimal: 0.285714 into a fraction 😢

[@IsabelExplains]

@@paintwithmeartscrafts Hello! Just try to start on getting both numbers' GCF. Try to use 142857 and you'll be getting the simplified fraction for that. :)

[@paintwithmeartscrafts]

@@IsabelExplains thank you so much! I just needed help with finding out that number, it’s hard, but I already figured it out! Thanksss

[@IsabelExplains]

@@paintwithmeartscrafts You're always welcome! I'm so glad I could help. :) PS: I also do financial literacy videos now, feel free to check it in my channel. 😀

[@Artifact3276]

bro not only does she have a class to teach but she does this on youtube, just saved my test score from 0 to a possible A+, thank you so much this is so useful!

[@IsabelExplains]

It is my pleasure! I'm so glad I could help. Don't forget to check out my personal finance videos too! 😊

[@ebubesunday4880]

Barely comment in videos but I have to comment on this one. You just saved a life. Thanks a lot. Also subscribed

[@IsabelExplains]

I'm so glad I could help! 🙏🏼 Make sure to check out my Personal Finance videos too! 😊

[@StorytimeWithStelita]

Thank you Isabel, you have made math easy to understand!!! I absolutely love this!!!!!

[@IsabelExplains]

Thank you so much! I'm always happy to help! If you have any video suggestions, just let me know :)

[@akrause2004]

Not a very clear explanation. Where did 3 & 57 come from? Need to break the steps down more.

[@IsabelExplains]

@akrause2004 I'm sorry the explanation wasn't clear to you. All I did was go down the list of odd numbers (1, 3, 5, etc) and dividing 171 by each one of them. Then, I would write the result as the other factor (for example: 171 ÷ 3 = 57) Hope that helps! 🙏🏽

[@carolinebrennan2682]

thanks!! i have a test tomorrow and wanted to fully understand this

[@IsabelExplains]

You're most welcome. I'm glad I was able to help 😊 If you'd like some more practice, there is s worksheet on the video description. Best of luck on your test tomorrow! 🤗

[@Mangocommentor]

Thank you very much!! I have test tomorrow 😅

[@user-iq6fn5cm7q]

HOW TO SIMPLIFY FRACTIONS THE EASIEST WAY: If the difference between the numerator and denominator is 1, the fraction cannot be simplified. A. Ask: does the numerator go into the denominator evenly (i.e. without any remainder)? If yes, proceed to B. If not, proceed to C. B. Great! The simplest fraction is 1 over the number of times the numerator fits in the denominator. (e.g. 20/60, 20 fits evenly 3 times, hence 1/3.) C. Write the remainder, (e.g. 20/46, (20 fits 2 times in 46, with a remainder of) 6.) to the right of the fraction, and ask: does the remainder go evenly into the numerator? If yes, proceed to D. If not, proceed to E. D. Great! The "remainder" is the Greatest Common Factor. Divide both the numerator and denominator by the GCF/remainder to have the simplest fraction. E. Write the "new remainder" (using the last example, 20/46, 6 fits into 20 with a "new remainder" of 2) to the right of the previous "remainder", and ask: does the "new remainder" fit evenly into the previous "remainder" (2 into 6)? If yes, proceed to D. If not, proceed to E. Please, (with your amazing talent,) produce a video demonstrating it. //Euclidean Algorithm.

[@IsabelExplains]

Thank you so much for your comment! I love this idea!! 🤗

[@IsabelExplains]

Hey c dollar. Thank you for your question. 15/14 does not simplify. You could rewrite it as 1 1/14, but that's it. Are you sure you're looking at the right answer? It's definitely not 5/8. Hope that helps! 🙏🏼

[@user-iq6fn5cm7q]

@@cdollar67 The comment above (about the easiest way to simplify fractions) is for "proper fractions", where the numerator is SMALLER than the denominator. For example, 14/15 cannot be simplified.

[@IsabelExplains]

@c dollar I'm glad you figured it out! 😊 Thank you so much for your kind words and I am happy I was able to help. That means the world to me. So thank you! 🙏🏼 I also want you to know that it is ok to make mistakes, specially if it's your brain playing "tricks" on you. One thing that usually works for me when I'm stuck and can't understand what's going on is to walk away for a little bit and then revisit with fresh eyes. Idk why, but is almost as if my brain forgets what it said and starts over with a new perspective. It's weird lol Another thing that I've noticed has helped me a lot over the years is being kind to myself. Understanding that I'm not perfect, I've got my limitations, but I also have a lot to offer, so I will not beat myself up over things that may not even be under my control. You sound like a very kind person, so I hope you're practicing kindness toward yourself as well. 🙏🏼 Many of us often forget that we are the one person we have to live with 24/7 for the rest of our lives, so might as well, have a great relationship with ourselves. 😉 I know the struggle of ADD is very real, but you got this! 💪🏽 Btw, random side note. Did you know that I have financial literacy videos as well? I hope I can help with that side of math too 😁

[@sharmenaswain219]

This saved me! With more practice I will master simplifying fractions thank you so much!

[@RestInPieces1225]

You can find the gcf by finding all of the prime factors of both numbers and multiplying the shared prime factors. For example 36 and 44. 36’s prime factors are 2, 2, 3, and 3. 44’s prime factors are 2, 2, and 11. Both 36 and 44 share the prime factors of 2, and 2, so you multiply 2 and 2 together to get a gcf of 4. If your numbers only share 1 prime factor, then that is your gcf is that number. If you have no shared prime factor, then the gcf is 1. Edit: Forgot to say that overall this video helped me a ton for my shsat prep as you need speed as well bc it is a timed test

[@BzBlade]

You can find the GCF if you divide both numbers, then divide the remainder into the smaller number. Repeat step until you get no remainder and the GCF is the number you divided into that gave you no remainder. 171/228 is 1r57 then 57/171 is 3 with no remainder so GCF is 57

[@IsabelExplains]

Really cool trick! Thank you for sharing! 😊

[@carlagarske797]

@@IsabelExplains nice "trick" but why does that work? I want students to understand the logic of math without tricks. That is why being able to use the prime numbers to prime factor is so valuable. The fundamental theorem of arithmetic states: Every integer greater than 1 is either a prime number or can be written as a product of its prime factors.

[@user-iq6fn5cm7q]

@@carlagarske797 Because it is using Euclidean algorithm.

[@AmazingArt1598]

That is called long division method . Still the trick you preferred will take a lot of time and it is not suitable for exams.

[@jaymorgan.]

I like your way better lol

[@ruchigupta7208]

Amazing video i learned this method very clearly

[@IsabelExplains]

You're most welcome. Glad I could help! 🤗

[@burntt999]

Oh bless you woman! Bless you bless you bless yoy

[@IsabelExplains]

@burntt999 God bless you too! 🙏🏽 I'm glad I could help! 🤗

[@jcbrown21467]

❤❤❤❤OMG, THANK YOU, Isabel !!!!!!!!!!!

[@IsabelExplains]

You're most welcome. Glad I could help! 🤗

[@SrinuDanthuluri-vt1ti]

Thank you isabel mam its easy method thank you so much 🙏🙏

[@charlottegrigg4194]

I’m confused why 57 is the # to divide? How did you figure that one?

[@IsabelExplains]

@charlottegrigg4194 I'm sorry the explanation wasn't clear. All I did was go down the list of odd numbers (1, 3, 5, etc) and dividing 171 by each one of them. Then, I would write the result as the other factor (for example: 171 ÷ 3 = 57) After that, I went from largest to smallest dividing 228 by each of these factors and see which of those would give me a whole number. Turns out that 228 ÷ 57 = 4 😊 Hope that helps! 🙏🏽

[@007mrdarcy]

You didn't explain WHY you plucked 57 out of the air when searching for a possible factor.

[@IsabelExplains]

@007mrdarcy I'm sorry if it wasn't clear, but I simply found all of the factors of 171, then went from largest to smallest checking on the calculator to see which number was also a factor of 228. I hope that clarifies the method. Please let me know if you have any other questions 😊

[@gunaamara5372]

Thank you very much nice explanation

[@lovely40052]

Thank you so much! Just what I needed!

[@IsabelExplains]

You're welcome! I'm always happy to help. If you have any video suggestions, just let me know :)

[@ningmak1193]

Thank you so much for the video! I finally understand the fastest and easiest way to simplify the big fractions. ❤❤❤

[@IsabelExplains]

It is my pleasure! Glad it helped 🙏🏼 Don't forget to check out my personal finance videos too! 😊

[@sudarshanagupta3744]

Thank you, thank you, thank you, thank you so much I was searching for this all over KZbin

[@IsabelExplains]

You're welcome, you're welcome, you're welcome, you're welcome! 😊 If you have any other topic you'd like me to make a video about, just let me know! 🙂

[@sudarshanagupta3744]

@@IsabelExplains ok 😊

[@user-ch8bi9wo2g]

Great explanation thank you! 🙏

[@razinshaik1285]

Thanks, really helped a lot

[@IsabelExplains]

You're welcome! I'm so glad I could help. :) PS: I also do financial literacy videos now, feel free to check it in my channel. 😀

[@emmaraposo3478]

this makes so much more sense now thank you!

[@IsabelExplains]

You're most welcome. Glad I could help! 🤗

[@asif80]

Wtf is This I am more confused than before

[@edgara1153]

lol same here

[@Rami366]

I am currently in 8th grade, and this will help me on my maths test!

[@IsabelExplains]

So glad I could help. 🙏🏼 FYI, it is never too early to learn about money. You should check out my money videos too 🤗

[@Rami366]

@@IsabelExplains I got a 9.5/10! Bless you!

[@IsabelExplains]

So glad I could help! 🙏🏼 Proud of you! 💪🏽

[@divinefeminine.5574]

Thankyou❤️

[@IsabelExplains]

You're most welcome. Glad I could help! 🤗

[@AmazingArt1598]

Thank you so much for this.

[@simmisrivastava24]

Amazing u r the best

[@IsabelExplains]

Glad it was helpful! Make sure to check out my personal finance videos as well! 💖

[@briannaeaton7797]

Thank you so much for thisn break down

[@merrylbutcher4965]

Finding the square root first is a good start. Half the factors are less than the square root. Halves the effort. It is easier to find a few small factors than one big one. Adding the digits of a number immediately tells us whether 3 is a factor or not. In this case I would divide by 3 first and continue from there.

[@cheryllb547]

How far up do you have to go in prime numbers?

[@IsabelExplains]

@cheryllb547 I'm not sure I understand your question, but if you're asking when to stop looking for factors, you stop when they start repeating themselves. Does that answer your question? If not, can you please elaborate? Thank you so much for your asking! 🤗

[@moomoomilk1739]

thanks this helped alot!

[@IsabelExplains]

It's my pleasure! Glad I could help 😊

[@exploringdigitally5620]

Upto which no should we see that they are divisible like u took only upto 20

[@IsabelExplains]

I love this question! Thank you for asking! Even though it looks like I only went up to 19, I actually checked all the factors available because when I got the small factor (like 3) I also got the big counterpart (the 57), so once I get to the smallest "big" factor, there's no need to keep going because you have already found them all. You're welcome to keep going but you're only going to find the factors we already found. Does that make sense? 😊

[@kSu.DaFinesser]

@@IsabelExplains If you did more steps why didn’t you make it more than 2 minutes?

[@hotwireman49]

You didn't explain what those bigger number are. Where did they come from? Why 9 and 19, 3 and 57? What is that?

[@user-bt1lq1mf7h]

I am going to just like i understand 👍 😐

[@ryanchiang9587]

171 / 228 = 57 / 76 = 3 / 4

[@IsabelExplains]

@ryanchiang9587 I love this! There's always more than one way to solve the same problem. Thank you for showing us this other way! 🤗

[@Spartan-bl4pq]

My problem with this is y’all right down factor like I’m supposed to already know it my heart, I’m trying to take the asvab test I don’t have the time to try and figure out all the factors, I’m just slow at math

[@LamTran-sw6yz]

Hi to you I’m have a question to ask you What happened if you want to simplify the fractions to the bigger number, like eg.. 45,064 / 65,562

[@IsabelExplains]

Hey Lam, sorry for the late response. Thank you for your comment! In this case I would use more broad concepts of Maths such as "if the numbers are even, they're divisible by 2", or "if all their digits add up to a multiple of 9, it is divisible by 9" or "if it ends in 0 or 5, it is divisible by 5" and so on until you get to a more comfortable number. Sometimes math is just a bit hard and requires a bit more work, but the most important thing is to understand the concept and WHY you're doing what you're doing. Hope that helps! 😊

[@user-iq6fn5cm7q]

HOW TO SIMPLIFY FRACTIONS THE EASIEST WAY: If the difference between the numerator and denominator is 1, the fraction cannot be simplified. A. Ask: does the numerator go into the denominator evenly (i.e. without any remainder)? If yes, proceed to B. If not, proceed to C. B. Great! The simplest fraction is 1 over the number of times the numerator fits in the denominator. (e.g. 20/60, 20 fits evenly 3 times, hence 1/3.) C. Write the remainder, (e.g. 20/46, (20 fits 2 times in 46, with a remainder of) 6.) to the right of the fraction, and ask: does the remainder go evenly into the numerator? If yes, proceed to D. If not, proceed to E. D. Great! The "remainder" is the Greatest Common Factor. Divide both the numerator and denominator by the GCF/remainder to have the simplest fraction. E. Write the "new remainder" (using the last example, 20/46, 6 fits into 20 with a "new remainder" of 2) to the right of the previous "remainder", and ask: does the "new remainder" fit evenly into the previous "remainder" (2 into 6)? If yes, proceed to D. If not, proceed to E.

[@kaylalewis3081]

Don’t understand this way ;/

[@IsabelExplains]

I'm sorry to hear that. Great news is that there are always multiple ways of doing the same thing! I always tell my students: Do what works for you ☺️

[@gameroflegendz9590]

@@IsabelExplains me neither but from the positivity of of comments I can tell your a great teacher

[@IsabelExplains]

Thank you for your kind comment. If you don't understand, that's ok. Like I told @karla lewis. Good news is that there's always more than one way to do every exercise. I hope you find the one that works for you soon! 🙏😊

[@gameroflegendz9590]

@@IsabelExplains good luck

[@rupterx7105]

Yea

[@ryu9079]

Tysmmm

[@IsabelExplains]

It is my pleasure! Don't forget to check out my personal finance videos too! 😊

[@primetime8596]

How do you know when to stop searching for the gcf. How do you know to stop at 3/57?

[@IsabelExplains]

That is a fantastic question! You will stop if one of the numbers is prime OR if they don't have any more factors in common. Does that answer your question?

[@user-np1vp6ku7j]

Or you can just minus 171 and 228 and the answer u get from it u have to see if its a lcm

[@preethijjohnson8579]

Thanku mam .From kerala

[@IsabelExplains]

You're most welcome 😊

[@soniaharichandan983]

Question is 457/1000 if we don't know higher table like 17,18,26

[@GabrielChanda-vh6ym]

Isnt it that 57 can't be divided by 171 without leaving a remender

[@carlagarske797]

Prime factor the numerator and the denominator, then eliminate the common factors. Divisibility rules help out here. 3 x 3 x 19 =171. 2 x 2 x 3 x 19 = 228. 3/4.

[@IsabelExplains]

Love this! I might make a follow-up video using this method. Thank you for the input! 🙏

[@carlagarske797]

@@IsabelExplains Prime factoring does so much for working with numbers and understanding them. I learned this method in 5th or 6th grade and it has been very useful.

[@marvelculous8127]

Ah, I’m really bad at math…Can you explain to me on what ‘prime factor the numerator and denominator’ means?😅💗

[@IsabelExplains]

​@@marvelculous8127 Thank you for your comment! First of all, you're most likely not bad at Math, you probably haven't been taught in the way that you learn. I see that problem with my students WAY too often. So, I'm gonna try my best to explain it, but if it doesn't make sense, please let me know. I will be releasing a video on this soon, so make sure to subscribe so you can get a notification when it comes out 🙂 Alright, prime factorization just means to find all the factors of a number that are prime (e.g. 2, 3, 5, 7, 11, 13, 17, etc.). You basically keep dividing by these numbers until all you have is prime numbers. Then you represent that number as the multiplication of its prime factors. For example: To do the prime factorization of 36 we do: 36 / 2 = 18 18 / 2 = 9 9 / 3 = 3 This means that the prime factorization of 36 is 2 x 2 x 3 x 3. Hope this helps! 🙏

[@marvelculous8127]

Isabel Explains Ah I appreciate this a lot! However, I’m confused with the 2 x 2 x 3 x 3 bit, I don’t understand how this makes sense. I tried multiplying the numbers together, and it didn’t equal 32 (That’s probably not the way to do it, that’s just what my mind instantly went to do 😂)

[@niladribindhani7143]

Love you from india

[@IsabelExplains]

Thank you! Much appreciated. I'm always happy to help. 💚

[@MIND_THE_BASIC]

I cant believe it was that easy..., I look so d*umb right now.... 😅😅😅

[@IsabelExplains]

The fact that you found it so easy means that you're in fact NOT dumb! 😜 Glad I could help! 🙏🏼 Let me know if you have any other questions and don't forget to check out my money videos 😊

[@MIND_THE_BASIC]

​@@IsabelExplainsthanks, and I do have question, I cant understand the "multiplying mixed fractions" and this was the question ¾ x 15 x 1/2 it was too complicated

[@MIND_THE_BASIC]

​@@IsabelExplainsthanks, and I do have question, I cant understand the "multiplying mixed fractions" and this was the question ¾ x 15 x 1/2 it was too complicated

[@MIND_THE_BASIC]

​@@IsabelExplainsthanks, and I do have question, I cant understand the "multiplying mixed fractions" and this was the question ¾ x 15 x 1/2 it was too complicated

[@haileyfurguiele973]

what if i have a test and we cannot use a calculator

[@IsabelExplains]

That is a very valid question. Simplifying by using prime factoring could help in that case. Do you know what that is?

[@haileyfurguiele973]

@@IsabelExplains im in seventh grade and im pretty sure i do know what that is

[@IsabelExplains]

Ok great! Then you can use prime factorization if you don't have a calculator :)

[@SATISHKUMARPADHY]

❤❤

[@IsabelExplains]

Thank you for the ❤️ glad I could help!

[@smtalha12]

I din't understand that how 57 is factor of 228

[@davidmeakin4372]

I don't like 171 as one of the numbers for the fraction and I'll maybe explain why another time

[@geraldinemontoya4179]

so, you'd have to already know your factors anndddd how to divide big numbers, I'm screwed

[@IsabelExplains]

Hey @Geraldine Montoya. You're not screwed. You can do it using a calculator. There are some factors that are obvious like 2, 3, and 5. I also explain the trick of the table of 11 in another video. But Math is about logic, not about memorizing. It's never about memorizing. Let me know if you have any other questions :)

[@alleytovar1194]

how do you know those big numbers are factors

[@sharkwave3]

Bc she knows oh god she knows she knows

[@Student_blox]

I have 1 question that why we write 57

[@IsabelExplains]

Hey! Thank you for your question but I'm not sure I understand what you're referring to. Do you mean why I wrote the little 57 in blue?

[@Student_blox]

Yes

[@IsabelExplains]

I was just showing that you have to divide top and bottom by 57. You don't need to write it, but I was just using it as visual aid. Does that answer your question? 😊

[@trailerpark948]

3 and 57?

[@ChinaAl]

OMG Your voice is so soft then that music came BLARING out. Can't you adjust yoour audio to be somewhat equal? Phew!

[@IsabelExplains]

Sorry about that! 😬 That was one of my earlier videos and I wasn't as proficient on video editing. I hope the video helpful, though! Make sure to check out my personal finance videos as well! 💖

[@ChinaAl]

@@IsabelExplains The video was interesting. I was just point out the sound differences. NP.

[@durgeshwagh726]

Hi im indian

[@sharkwave3]

Your smart but I don’t get this way

[@IsabelExplains]

I'm sorry my explanation didn't help. Sometimes it takes watching the video a few times to grasp the concept, but it's still ok if you don't. I hope some of my other videos may be of help to you though! 🙏🏼 Also, make sure to check out my personal finance videos! 😊

[@trailerpark948]

3x57=171

[@JorjaBarbosa]

is there an easier way to find a common factor? my fraction is 5116 over 999...

[@IsabelExplains]

Hey @JorjaBarbosa thank you for you question! Are you allowed to use a calculator?

[@JorjaBarbosa]

@@IsabelExplains I'm allowed to use a simple calculator, but not a scientific one

[@pratikshaladke2369]

Sorry but i did not get what are you saying.... I mean this method is hard for my understanding 😅🙂

[@IsabelExplains]

I'm sorry my explanation didn't help. Sometimes it takes watching the video a few times to grasp the concept, but it's still ok if you don't. I hope some of my other videos may be of help to you though! 🙏🏼 Also, make sure to check out my personal finance videos! 😊

[@Manish-_gamer.903]

Sorry to say but, i did not understand correctly. But hope you may improve that😊😊

[@IsabelExplains]

I'm sorry my explanation didn't help. Sometimes it takes watching the video a few times to grasp the concept, but it's still ok if you don't. I hope some of my other videos may be of help to you though! 🙏🏼 Also, make sure to check out my personal finance videos! 😊

[@tracyannjohnson5724]

No. We don’t know. At least I don’t.

[@IsabelExplains]

@tracyannjohnson5724 I'm sorry for making the assumption. I hope you know now, though 🤗 Please let me know if you have any questions! 😊

[@moviesync3131]

Do you have another accent, Spanish?

[@IsabelExplains]

Lol yes! Spanish is my first language 😁

[@JGPLAYZTHIS]

good video just a bit too fast🙃

[@IsabelExplains]

Hey @JGPLAYZTHIS Thank you so much for your feedback. I will take it into consideration for future videos. 🙏

[@Rumaisa730]

I can't understand

[@geetkaur321]

I did not understand 😢

[@IsabelExplains]

I'm sorry my explanation didn't help. Sometimes it takes watching the video a few times to grasp the concept, but it's still ok if you don't. I hope some of my other videos may be of help to you though! 🙏🏼 Also, make sure to check out my personal finance videos! 😊

[@Minecraft-ro5bm]

21 divided by 40

[@waitaminute1411]

Great effort though but Its too fast. There are dumb people that haven't even heard anything as Highest factor or lowest factor or if its divisible and stuff. So my feedback if you allow me would be to always teach and explain as if you are teaching to complete beginners. Though i will watch another video..to understand it..but thought of leaving this comment here.

[@IsabelExplains]

Thank you for your feedback! It will surely help me in making better tutorial videos in the future. 💚

[@alangaspar9264]

makes absolutely no sense but ok

[@sowjanyasree4748]

This is hard I am worst in maths

[@karlasuarez6825]

Why Americans make it math so hard! 😢

[@shareefmalali7870]

Not understand this

[@duriebuni5653]

no

[@jawahargnanavel]

????🙁

[@NF-Alpha]

You lost me

[@rajusharma4606]

This is pagle gril

[@HBiz72]

“Check on the calculator” I was hoping there was some kind of quicker trick especially for actual large numbers like 2657893/653289

[@saidkamolnurjanov6367]

me tryna simplify 2212880/97899872 without a calc

[@IsabelExplains]

😆 better get a lot of paper! 😅 Pro tip: They're both even numbers, so start dividing by 2 and see how far you can go 😁