Can you take a derivative only partway? Is there any meaning to a "half-derivative"? Does such a concept even make sense? And if so, what do these fractional derivatives look like?


Previous video about Cauchy's Formula for Repeated Integration:
https://youtu.be/jNpKKDekS6k

A really nice video that derives the gamma function from scratch:
https://youtu.be/v_HeaeUUOnc


=Chapters=
0:00 - Interpolating between polynomials
1:16 - What should half derivatives mean?
3:56 - Deriving fractional integrals
8:22 - Playing with fractional integrals
9:12 - Deriving fractional derivatives
13:53 - Fractional derivatives in action
16:19 - Nonlocality
17:54 - Interpreting fractional derivatives
18:51 - Visualizing fractional integrals
22:10 - My thoughts on fractional calculus
23:10 - Derivative zoo


===============================
MAIN SOURCES USED FOR THIS VIDEO

Podlubny, Igor. Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, 1999

Podlubny, I.: "Geometric and physical interpretation of fractional integration and fractional differentiation." Fractional Calculus and Applied Analysis, vol. 5, no. 4, 2002, pp. 367--386.
- (for the visualization trick for fractional integrals)

Edmundo Capelas de Oliveira, José António Tenreiro Machado, "A Review of Definitions for Fractional Derivatives and Integral", Mathematical Problems in Engineering, vol. 2014, Article ID 238459, 6 pages, 2014. https://doi.org/10.1155/2014/238459
- (for the zoo of alternative fractional derivatives)


===============================
Minor correction: The footnote at 7:34 should say the trig substitution produces another *whole* factor of pi (not a root pi) in the numerator which then cancels the *two* root(pi)'s that appear in the denominator from applying the half integral formula twice.


===============================
CREDITS

This video uses the song "Rubix Cube" coming courtesy of Audionautix.com


===============================
Want to support future videos? Become a patron at https://www.patreon.com/morphocular
Thank you for your support!


===============================
The animations in this video were mostly made with a homemade Python library called "Morpho". If you want to play with it, you can find it here:
https://github.com/morpho-matters/morpholib


===============================
This video is part of the 3Blue1Brown Summer of Math Exposition 2 (#SoME2). You can find out more about it here:
https://summerofmathexposition.....substack.com/p/the-

BODMAS Fractions Grade 8

YouTube video.

🟢Follow me on Instagram: https://www.instagram.com/kevinmathscience

🎯 Méthode simple pour multiplier des fractions
✅ 4 exemples corrigés pas à pas

🔎 Chapitres
00:18 | Exercice 1
01:00 | Exercice 2
01:37 | Exercice 3
02:04 | Exercice 4 : simplifier une fraction ?

Dans cette vidéo, je te propose de revoir tout le cours sur le chapitre des fractions.
L’objet de cette séquence est de te rappeler et de t’expliquer les éléments les plus importants du chapitre :
0:00 Intro
0:50 Notion de fraction
9:58 Fractions égales
19:20 Même dénominateur
21:46 Comparaison
23:22 Additions et soustractions
👍

Site officiel : http://www.maths-et-tiques.fr
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Welcome to Dividing Fractions: A Complete Step-by-Step Guide with Mr. J! Need help with how to divide fractions? You're in the right place!

Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with dividing fractions. Mr. J will go through examples of dividing fractions by fractions, dividing whole numbers and fractions, dividing mixed numbers, dividing fractions using cancellation, and dividing improper fractions.

✅ Chapters and Timestamps
00:00 - Dividing a Fraction by a Fraction
4:39 - Dividing a Fraction by a Whole Number
7:37 - Dividing a Whole Number by a Fraction
11:16 - Diving a Mixed Number by a Mixed Number
16:22 - Dividing a Mixed Number by a Whole Number
20:25 - Dividing a Whole Number by a Mixed Number
24:38 - Dividing a Mixed Number by a Fraction
28:13 - Dividing a Fraction by a Mixed Number
31:01 - Dividing Fractions Using Cancellation
37:40 - Dividing Mixed Numbers Using Cancellation
43:18 - Dividing an Improper Fraction by an Improper Fraction
46:29 - Dividing an Improper Fraction by a Whole Number
48:24 - Dividing a Whole Number by an Improper Fraction
51:30 - Why Do We Use Keep, Switch, Flip?

About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free. #MathWithMrJ

Click Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY

Follow Mr. J on Twitter: @MrJMath5

Email: math5.mrj@gmail.com

Music: https://www.bensound.com/royalty-free-music

Hopefully this video is what you're looking for when it comes to dividing fractions.

Have a great rest of your day and thanks again for watching! ✌️✌️✌️

Welcome to MathZip, your trusted guide for mastering IGCSE Algebra. In this video, we simplify algebraic fractions step by step—covering Q1 (a–e) with clear explanations and exam-style logic.

Previous Part:
https://www.youtube.com/playli....st?list=PL60Rdj6sJyB

🎯 Topics Covered:

Laws of indices

Rational expression simplification

Factoring and cancellation

IGCSE-style problem solving

📌 Perfect for learners preparing for IGCSE Mathematics (0580) or Additional Mathematics (0606).


🔔 Subscribe to MathZip for more topic-wise breakdowns and printable resources. 📥 Follow on Facebook for daily updates and practice sets.

#MathZip #IGCSEAlgebra #AlgebraicFractions #SimplifyExpressions #IGCSEMath #RationalExpressions #MathForEveryone #BangladeshMath #GlobalMath #AlgebraMadeEasy

3rd & 4th STD Maths | Fraction | CBSE Syllabus Mathematics

#Maths
#Mathematics
#CBSESyllabus


This video is a part of Pebbles CBSE Syllabus Live Teaching Videos Pack. Class 1 to 12th Subject Packs are available in all leading Book Stores in all over India.

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This video covers the very basics of Fraction. Fraction is a very useful and basic topic of math which has a lot of application from daily life to science to everything else around the world. It is most commonly asked in competitive exams and students must be well versed wtih its concepts. it can be learnt by anyone and can be used in competitive exams like IIT JEE, NEET, Bank PO, SSC CGL, IBPS, CAT and various other exams.

Learn what actually is LCM & HCF
https://youtu.be/_XLBHKLukdw

Mental Math Playlist
https://youtube.com/playlist?l....ist=PL6t7ZA5N0bGH16e


Instagram link 🔗
http://appopener.com/ig/bhe6qs5zd

Hope the video was useful for you and you learnt something from it.

Don't forget to like, comment, share and do subscribe this channel for more such study videos.

Video Timeline
00:00 - Introduction
02:20 - Proper and Improper Fraction
04:50 - Mixed Fraction
08:00 - Equivalent and Simplest Fraction
10:40 - Like and Unlike Fraction
14:58 - Comparing Fractions
17:37 - Addition and Subtraction of Fractions
22:05 - Practice Questions



Follow me on Instagram @shineacademy.ig for any doubts or queries.


#ShineAcademy
#fraction #basics #maths #Quant #youtubeindia #quantitativeaptitude #competition #competitiveexams #bankpo #ssc #cat #onlineclasses #number

FRACTIONS || FRACTIONS FULL CHAPTER || FRACTIONS CLASS 4 | FRACTION CLASS 5

Class 4 Chapter Fraction ( Complete Chapter )
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Learn what is Fraction
how to write fraction
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denominator
half, one-third, one-fourth of a fraction
Equivalent fraction
Equivalent fractions
how to make equivalent fractions
Proper fraction
proper fractions
improper fraction
improper fractions
like fraction
like fractions
unlike fraction
unit fractions
How to convert improper fraction to mixed fraction
comparing and ordering fractions
add fractions
subtract fractions
Class 4 Chapter Fractions.
Fractions
types of fractions
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class 5 maths fractions

Roman Numbers Trick| Roman numbers from 1to 1000| Roman numerals 1to1000| #romannumber #romannumeral
https://youtu.be/VcR1EkBWMvE

Table 2to 20tricks for kids || Tables learning trick🔥|| Table 12 to 20 tricks for kids😍 || #tables
https://youtu.be/jzBG8JLXkto

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In this video you'll learn how to multiply fractions

You can watch also the other videos below.

Divisibility rules for 2,5 and 10
https://youtu.be/VRrvDasqIEo

Divisibility rules for 3, 6 and 9
https://youtu.be/Cj4VLhZ7584

Divisibility rules for 4, 8, 11 and 12
https://youtu.be/JiDdtnQxI1U

Divisibility Rule for 7
https://youtu.be/wAreAjCSqow

How to Solve Equations Involving Different Operations
https://youtu.be/jxgPerdbMaM

How to Find the Greatest Common Factor
https://youtu.be/aJD6I71vJcU

HOW TO ADD DECIMAL NUMBERS
https://youtu.be/RGGi7VVRb6I

HOW TO DIVIDE FRACTIONS
https://youtu.be/xi9-42YB8KQ

HOW TO MULTIPLY MIXED NUMBERS
https://youtu.be/lL8Rqmwt0kg

HOW TO ROUND OFF DECIMAL NUMBERS
https://youtu.be/7N9t4Q9takw

HOW TO READ AND WRITE DECIMAL NUMBERS
https://youtu.be/sKFlbr4-Z4o

How to Identify the Place value of decimal numbers
https://youtu.be/Hk_9MEI6V9M

How to Multiply Fractions
https://youtu.be/XcBK4kz5V50

How to change improper fractions to mixed numbers and mixed numbers to improper fractions
https://youtu.be/YiVFKEBkit4


Thank you so much for watching. Please subscribe to our channel.
God bless!



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#fractions #math #teaching
A fun song to teach about numerators of fractions! Numerator Dog!
Purchase on iTunes: https://goo.gl/C0sMzp
LYRICS:
Numerator,
You’re on top,
You’re on top,
You’re on top,
Numerator,
You’re on top,
And you make fractions easy!

Mom got me a dog named numerator,
Not less than,
Equal, or any greater,
Than my dogs Addition,
Or Take Away,
But he likes the top,
That's what he'd say...

Chorus

One day I came home,
Where could he be?
Out for a run or a swim in the sea?
I checked in high places all through the whole day,
‘Cause he just liked the top,
At least that’s what he’d say,
I looked high and low,
From the roof to the shed,
I finally found him,
Asleep on my head!
I woke him by saying,
"This just has to stop!"
He gave me a lick,
And said, “I like the top!!!"

Chorus

SPOKEN PART:

Numerators are the top number in a fraction. They tell us how many parts of the fraction we have. The denominator, the bottom number of a fraction tells us how many parts there are in total. I like to think the letters that start the word numerator, NU, stand for never under, because numerators are always on top!

Chorus

Late last night,
I heard a loud woof,
Numerator, was dancing,
Way up on our roof!!
I was scared so stiff,
Horrified with horror,
If my little dog slipped,
He'd see no tomorra',
I Screamed, "Get down!"
But the dog didn't stop...
So I grabbed our tall ladder,
And I climbed to the top,
He was still dancing,
A-one, a two, a- three,
Asked me to join him,
Come dancing with me,
I yelled, “Stop now! That’s really unsafe!”
But he gave me a sad look,
Oh his puppy dog face,
So we danced like mad,
Numerator and me...
I really regret it,
It was too crazy!

Chorus

Fear was all gone,
We danced the whole roof,
You can check my phone’s camera,
The video’s proof...
After hours of tango, of salsa, and swing,
We fell to the ground,
With a great, big, big ding!!!
I looked at my dog,
"This just has to stop!"
But he gave me a lick,
"I like the top!!!"

Chorus

What is Fractions for kids
#maths

Need Help with Basic Math?
Get full lessons, practice problems, and expert teacher instruction at TabletClass Math Academy:
🔗 https://TCMathAcademy.com
Question: How do you convert mixed fractions to improper fractions?
This is one of the most important basic math skills and a foundation for working with fractions in Pre-Algebra and Algebra. Many students forget the steps, but once you know the method, it’s easy!
In this lesson, you’ll learn:
✅ How to change a mixed fraction into an improper fraction
✅ The step-by-step method explained clearly
✅ Why this skill is essential for fraction operations (addition, subtraction, multiplication, division)
✅ Common mistakes students make when converting fractions
This is perfect practice for elementary math, middle school, pre-algebra, and test prep.
Perfect for:
• Basic Math and Pre-Algebra Students
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• GED, SAT, and ACT Prep
• Anyone who struggles with fractions

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You have scored 7 out of 10 in your test. How does you teacher represent your marks? She uses a slash in between these numbers. But do you know what this slash actually represents?
Well it is a fraction. A fraction represents a part of the whole. The number on the top of the slash is called the numerator whereas the number at the bottom is the denominator. The denominator tells us the total parts whereas the numerator tells us the parts used.
There are five types of fractions - Like, unlike, proper, improper and mixed fractions. Let’s learn all the types in detail.
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Equivalent Fractions.
Fractions which are equal in value are called equivalent fractions.

✨ Welcome to today’s LIVE Math Class! ✨
In this session, we’ll dive into the Introduction to Fractions – the basics you need to understand before mastering more advanced math concepts.

📌 What you’ll learn today:

What are fractions?

Numerator & Denominator explained

Types of fractions (proper, improper, mixed)

Real-life examples for easy understanding

🎯 Perfect for students of all levels (Class 5–8) who want to build a strong foundation in fractions.

👉 Stay till the end for practice questions & tips to score high in exams!

🔔 Don’t forget to LIKE, SHARE & SUBSCRIBE for more live math classes.
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Practice App:
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​​​​​In this video, Grammar Hero works out a practice test question that requires you to subtract and then convert fractions to a percent. This question should closely mirror what you should expect to see in the Arithmetic Reasoning (AR) subtest of the Armed Services Vocational Aptitude Battery (ASVAB) as well as the Pre-screening internet-delivered Computer Adaptive Test (PiCAT).

​​​​​#grammarhero ​​#ASVAB​​​​​ #AceTheASVAB #ASVABVersion #PiCAT #algebra #geometry #afqt #asvabexam #asvabtest #asvabmath #asvabmathknowledge #asvabmathprep #asvabtutoring #asvabmathhelp #arithmeticreasoning

After watching this video, you would be able to carryout evaluation(arithmetic operations) on fractions having more than one arithmetic operators using BODMAS.
Order of Operations
Both BODMAS and PEMDAS are acronyms that help you remember the order of operations in mathematics.

BODMAS (used in some countries)
1. B*rackets
2. O*rder (or "Of")
3. D*ivision
4. M*ultiplication
5. A*ddition
6. S*ubtraction

PEMDAS (used in some countries)
1. P*arentheses
2. E*xponents
3. M*ultiplication
4. D*ivision
5. A*ddition
6. S*ubtraction

Both acronyms help you follow the correct order when simplifying mathematical expressions.
Evaluating Fractions with BODMAS/PEMDAS
When evaluating expressions with fractions, follow the order of operations:

Steps
1. *Simplify fractions*: Reduce fractions to their simplest form if possible.
2. *Follow BODMAS/PEMDAS*: Evaluate expressions inside brackets/parentheses first, then exponents/orders, followed by division and multiplication, and finally addition and subtraction.

Example
Evaluate: 1/2 + 1/4 × 3/2

Solution
1. Multiply 1/4 and 3/2. That is; 1/4 × 3/2=3/8
2. Add 1/2 and 3/8. That is; 1/2 = 4/8, so 4/8 + 3/8 = 7/8

Result
1/2 + 1/4 × 3/2 = 7/8

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In this video, you will learn fractions of one part of a whole and two more parts of a whole.
@TeacherBethClassTV
Let's LEARN, PLAY, and GROW . . . TOGETHER!
https://www.youtube.com/c/TeacherBethClassTV
#fraction #fractions #half #onehalf #sets #number #kindergarten #kids #math #mathematics #maths #kindergartenclasses #kindergartenlearningvideos #education #educational #melcs #counting #countnumbers #mathlessons

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Les fractions décimales et les nombres décimaux décrivent de nouveaux nombres pour palier l'insuffisance des nombres entiers, notamment pour mesurer des longueurs. La règle graduée est une des premières rencontres des élèves avec les nombres à virgule. Cette vidéo à destination des élèves de cycle 3 (CM1, CM2, 6e) est une initiation aux fractions décimales et aux nombres décimaux. Une fraction décimale est un partage d'une unité en un nombre de parts égal à une puissance de 10 (10, 100, 1000, etc.). Un nombre décimal est un nombre qui peut s'écrire sous forme de fraction décimale. Ces notions sont complexes et nécessitent un travail long sur tout le cycle 3. Le visionnage de la vidéo n'est évidemment pas suffisant et ne constitue qu'un aperçu de ces chapitres.

Découvrez nos cahiers de soutien scolaire adaptés pour chaque année du CP au CM2 : https://maitrelucas.fr/livres/

Fiche d'exercices : https://maitrelucas.fr/fiche/n....ombres-decimaux-cm1-

Retrouvez toutes les vidéos de Maître Lucas en visitant son site : https://maitrelucas.fr/bibliotheque-video/
Ainsi que cette leçon : https://maitrelucas.fr/lecons/....fractions-decimales-

Mon conseil : Il n'est pas évident de se représenter les fractions décimales ni les nombres décimaux. Il faut alors partir de situations concrètes. Pour les fractions décimales, je conseille de partir de parts ou de bandes coupées afin de se rendre compte que ce sont uniquement des partages par 10, 100, 1000, etc. L'utilisation de la règle et des longueurs est également un moyen de manipuler les nombres décimaux avec des outils palpables avant d'entrer dans la conceptualisation.

Compétence :
- Produire et utiliser diverses représentations des fractions simples et des nombres décimaux.
- Utiliser et représenter les nombres décimaux.

Les chapitres de la vidéo :
00:00 C'est quoi les fractions décimales et nombres décimaux ?
01:03 C'est quoi une fraction décimale ?
02:28 C'est quoi les nombres décimaux ?
03:14 La partie décimale et partie entière
06:03 Exercices les fractions décimales et nombres décimaux
09:51 Résumé et fiches d'exercices

À qui s'adresse cette vidéo :
Niveau : CM1 - CM2 - 6e
Matière : maths CM1, maths CM2, maths 6e

Cours : maths, mathématiques, numération, nombres, calculs

maîtres Lucas est enseignant depuis de nombreuses années. Il a enseigné à tous les niveaux de l'école maternelle et élémentaire en Europe et aux États-Unis. Il a d'ailleurs obtenu un prix d'enseignement à New York. Aujourd'hui, il s'occupe de la formation des enseignants, mais est toujours disponible pour proposer de nouvelles vidéos à ses abonnés :-).