Hello friends,
In this word problem, we are given that Zoe's money is in some relation to Luke's money. And we have to find Luke's money.
We have to find how much money Luke had at first.
I have solved this problem using equations, in a step-by-step way.

FOR YOUR PRACTICE, you can go through the following links:

Daily Learning Exercise for Grades 1 - 5
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Grade 5 - Step-by-Step word problem solving
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Grade 4 - Step-by-Step word problem solving
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Grade 3 - Step-by-Step word problem solving
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Grade 2 - Step-by-Step word problem solving
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Grade 1 - Step-by-Step word problem solving
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Problems using Model Drawing
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Problem Solving Strategies
https://www.youtube.com/playli....st?list=PLwED6s6TpVS


Roman Numbers
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Challenge Word Problems:
https://www.youtube.com/playli....st?list=PLwED6s6TpVS

Problem Credit - Singapore Math
Picture credit – Clipart

Enjoy Problem Solving!

CXC Math Past Paper Playlist
https://www.youtube.com/watch?v=j9tO0NTqrds&list=PL8H4Fn9bk8JpNXPoRXxLkWQnOma84zpvx

CXC Past Paper Math Questions - Rearranging Formulas (Transposition)
https://www.youtube.com/watch?v=j9tO0NTqrds&t=4s

CXC Past Paper Math Questions - Solving Linear Equations
https://www.youtube.com/watch?v=gS7qBtkKq5E&t=343s

CXC Past Paper Math Questions - Consumer Arithmetic (Part 3 of 3)
https://www.youtube.com/watch?v=iNRrH87azd0&t=19s

CXC Past Paper Math Questions - Fractions
https://www.youtube.com/watch?v=bYCGQ8dqXoA&t=2097s

CXC Past Paper Math Questions - Basic Computation
https://www.youtube.com/watch?v=gunrbiAfI0M

For More Math CSEC/CXC Videos visit the link below:
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https://www.youtube.com/watch?v=98GevQYCUnI&t=161s

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#TRICKS_PARTIAL_FRACTION#CAREER_EASY

TOPIC:- How to Solve Partial Fractions WITH TRICKS & GATE Previous Year.

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ROOT LOCUS GATE PREVIOUS YEAR QUESTIONS
https://www.youtube.com/watch?v=vZT55gGLt1Q&t=6s

ROUTH HURWITZ GATE PREVIOUS YEAR QUESTIONS
https://www.youtube.com/watch?v=h3t15WizYz4&t=1228s

FREQUENCY RESPONSE ANALYSIS
https://www.youtube.com/watch?v=iJXKFJfkizQ&t=1116s

TRICKS USED IN ROOT LOCUS
https://www.youtube.com/watch?v=vLciisJ_ilI&t=609s

TRICK USED IN ROUTH HURWITZ
https://www.youtube.com/watch?v=h3t15WizYz4&t=1228s

CONTROL SYSTEM PLAYLIST
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HFSS #ANTENNA
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ENGINEERING MATHS(NEW)
https://www.youtube.com/watch?v=WRNF4Xxiqfc&list=PLszv3YRFF443ntsH5Hqrrg-7xmAKd6RY0

COMMUNICATION SYSTEM
https://www.youtube.com/watch?v=h_G97iviqNU&list=PLszv3YRFF440GeaV689bUVorh99_h6kcG

We review the steps to solving word problems. We can use the strategy "Act it Out" to solve comparison problems. We can use fraction strips or fraction circles to represent each fraction and compare the models. When the denominators are the same, we can compare fractions by their numerators. When the denominators are different from each other, the sizes of each unit fraction are different. We use the less than, greater than, or equal to symbol to compare fractions in word problems.

3rd Grade Math 8.3, Unit Fractions of a Whole
https://youtu.be/Q3HKY8eXOl4

3rd Grade Math Playlist (2015)
https://www.youtube.com/playli....st?list=PLKi4WTp6PRG

I'm using the Houghton Mifflin Go Math!
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How To Add Mixed Fractions In Hindi | Addition Of Mixed Fractions | मिश्रित भिन्न को जोड़ना |

Doston is video me humne mixed fractions ke addition ko explain kiya he, kaise aapko mixed fractions ko convert krke improper fractions me lana he. mixed fractions ko improper fractions me change krne ke baad unka addition easily lcm method se ho jata he.

Agar aap ko Video achcha laga to like kre and hamare channel ko subscribe kre hum aaise hi mathematics content apne chennel pe aapke liye late rahte he.
Thank you.

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1) Class 10th Introduction to Trigonometry
https://youtu.be/F0OJ0unf-m8

2) Class 10th Ex 4.3 Q 4 | 3 वर्ष पूर्व रहमान की आयु का व्युत्क्रम | Maths Live Class 10
https://youtu.be/95q9MCn6jgc

3) बहुपदों का भाग करना |
https://youtu.be/WvcdFZ1zkVU

4) How to Multiply Two Square Roots
https://youtu.be/XLBdYA0gfT4

5) भाग करने की सबसे आसान विधि |
https://youtu.be/lWiC3h3VoYI

6) Simplification fractions in hindi
https://youtu.be/PAwKqrDJJCw

7) How To Solve Simple Equations
https://youtu.be/kn2sXQPwrrg

8) Divide And Multiply Of Fractions
https://youtu.be/e0j8jor5US8

About this video :-

1) adding two mixed fractions
2) how to add mixed fractions in hindi
3) convert mixed fraction to improper fraction
4) how to solve mixed fractions
5) how to add mixed fractions with unlike denominators
6) addition of fractions in hindi
7) fractions in hindi
8) how to add three mixed fractions
9) bhinn ka jod krna
10) mishrit bhinn ko jodna
11) मिश्रित भिन्न का जोड़
12) addition of fractions

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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/cc-sixth-grade-ma


Learn how to solve one-step addition and subtraction equations that have fractions and decimals in them.

Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)

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In this video, we talk about how to solve linear equations. To solve linear equations (and other types of equations), we usually try not to work with fractions directly. So, the first step is to eliminate the fractions using the Least Common Denominator (LCD). After that, we proceed with basic operations to solve linear equations.

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👉Learn how to factor perfect square trinomials. Perfect square trinomials are formed when binomials are multiplied by themselves. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.

Factoring perfect square trinomial goes through the same proces of factoring quadratic trinomials. To factor a perfect square trinomial, we find two expressions which when multiplied together gives the product of the constant term (the term with no variable) and the term with the squared variable and when the two expressions are added gives the term whose variable has no power. These two expressions obtained are used to replace the term whose variable has no power. The result is then factored by grouping them and factoring out the GCD.

If the coefficient of the squared variable is 1, all we need to do is to find two numbers which when multiplied together gives the constant term (the term with no variable) and when the two numbers are added gives the coefficient of the the term whose variable has no power. These two numbers are written with the variable in two separate parenthesis.

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https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Factor Quadratic Expressions | Learn About
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Factor Quadratic Expressions | GCF
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Factor Quadratic Expressions | x^2+bx+c
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Factor Quadratic Expressions | x^2+bx+C
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Factor Quadratic Expressions | Difference of Two Squares
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Factor Quadratic Expressions | Perfect Square
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Factor Quadratic Expressions | ax^2+bx+c
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM


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To find three equivalent fraction for 3/5, we can multiple 3/5 by the equivalent of 1/1. For example:

3/5 x 1/1 = 3/5
since 1/1 = 1 and multiplying by 1 does not change the value.

If we multiply:

3/5 x 2/2 = 6/10

Here again, since 2/2 = 1 we aren't changing the value, just the way it is written. Both 3/5 and 6/10 are equal to 0.6.

We could also multiply by 3/3, 4/4, 5/5 and so on to find more fractions that are equal to 3/5. As long as we are multiplying by the equivalent of 1, we'll get a fraction that is the same as 3/5.

This tutorial shows how negative fractions can be written in three different ways.

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Addition and Subtraction of Like Fractions | Mathematics Grade 5 | Periwinkle

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This video covers:
- How to write ratios as fractions
- We cover both part to whole and part to part fractions

This video is suitable for maths courses around the world.
KS3 - All on your course
GCSE Foundation - All on your course
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GCSE Biology Playlist:
https://www.youtube.com/watch?v=--dIBinUdeU&list=PLidqqIGKox7X5UFT-expKIuR-i-BN3Q1g

GCSE Physics Playlist:
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🟣 GRADE 11: SOLVING PROBLEMS INVOLVING FRACTIONS, DECIMALS AND PERCENT

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To multiply fractions, we can just multiply the numerators, multiply the denominators, and then simplify at the end. So for this first question, []our numerator will be 3 times 8 and our denominator will be 4 times 9, []so that gives us 24 over 36. But how can we simplify 24 thirty-sixths? Both 24 and 36 are multiples of 12, so if we divide both the numerator and denominator by 12, []we can simplify to 2 thirds. So pause the video, and see if you can follow the same steps to work out 5 twelfths times 3 tenths and 7 tenths times 5 tenths. So if we []multiply the numerators and denominators, []we get 15 over 120, but we can simplify this question: we might spot straight away that 15 and 120 are both multiples of 5, so dividing both the numerator and denominator by 5 gives us []3 over 24 – but now, we can simplify this fraction further, because both 3 and 24 are multiples of 3, so if we divide both the numerator and the denominator by 3, []we get 1 eighth: so when you’ve simplified a fraction, it’s always necessary to check whether you can simplify it further: here, we could have divided 15 and 120 by 15 to get 1 eighth straight away, but because we divided the numerator and denominator by 5 first, we then had to divide the numerator and denominator by 3. Finally, for this last question, []we have 7 times 5 over 10 times 10, []so that’s 35 over 100, which we can simplify to []7 twentieths.

Welcome to “Why Do We Need a Common Denominator When Adding and Subtracting Fractions?” with Mr. J! Ever wonder why we need common denominators when adding and subtracting 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 common denominators. Mr. J will go through an example of adding fractions to show why we need common denominators and explain why common denominators are needed when doing things like adding fractions, subtracting fractions, comparing fractions, and ordering fractions.

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

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Hopefully this video is what you're looking for when it comes to why we need common denominators when adding and subtracting fractions.

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

✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud

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In this lesson we learn how to simplify algebraic fractions using factorisation. We will look at the addition and subtraction of fractions.

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👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to different sides of the equality sign. After evaluating like terms we then also use inverse operations (multiplication or division) to remove any multiple (or fraction) to the variable.

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Organized Videos:
✅Solve One and Two Step Equations
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Linear Equations | Learn About
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅How to Solve One Step Equations with Addition
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅How to Sove One Step Equations with Multiplication
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅How to Solve One Step Equations with Decimals
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with Fractions
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with Two Variables
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with a Fraction
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with Fractions
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with a Rational Fraction
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM


🗂️ Organized playlists by classes here: https://www.youtube.com/user/M....rBrianMcLogan/playli

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/e....mail-capture-fdea604

Connect with me:
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👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#LinearEquations #SolvelinearEquations #Brianmclogan

👉 Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication but here we will only focus on undoing multiplication and division. When applying the inverse operation you will will also introduce the properties of equality.

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Organized Videos:
✅Solve One and Two Step Equations
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Linear Equations | Learn About
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅How to Solve One Step Equations with Addition
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅How to Sove One Step Equations with Multiplication
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅How to Solve One Step Equations with Decimals
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with Fractions
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with Two Variables
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with a Fraction
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with Fractions
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve Two Step Equations with a Rational Fraction
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM


🗂️ Organized playlists by classes here: https://www.youtube.com/user/M....rBrianMcLogan/playli

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/e....mail-capture-fdea604

Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/br....ian-mclogan-16b43623

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#LinearEquations #SolvelinearEquations #Brianmclogan

How to solve a linear system with two equations and two unknowns with fractions.

Notes on solving linear systems of two equations and two unknowns using the elimination method: https://www.openalgebra.com/20....12/11/solving-linear

Solving linear systems playlist on YouTube: https://www.youtube.com/playli....st?list=PLmN1jmOiJEf

https://www.openalgebra.com/
Chapter 4 - Solving Linear Systems

4.1 Solving Linear Systems by Graphing
4.2 Solving Linear Systems by Substitution
4.3 Solving Linear Systems by Elimination
4.4 Applications of Linear Systems
4.5 Solving Systems of Linear Inequalities (Two Variables)
4.6 Review Exercises and Sample Exam

How to Add Three Fractions? Basic Math Review
Visit our new fb page: www.facebook.com/MathTutorialsforFree/

Civil Service Examination Reviewer Playlist:
Solving Age Problems PART 1 - Civil Service Exam
https://youtu.be/FZmZUaet3Ig
How to Solve Age Problems (Part 2) - Civil Service Exam - LET Exam
https://youtu.be/738Xx0qfX2E
Number Series - Math Reviewer - Civil Service Exam and LET
https://youtu.be/TfvN_NSbfdk
Order of Operations - PEMDAS - Civil Service Exam & LET Reviewer
https://youtu.be/pfnctEEWuuM
How to Solve Word Problems in Ratio and Proportion
https://www.youtube.com/watch?v=TrunSSuYrAg
How to Solve Number Problems? | Civil Service Exam - LET
https://youtu.be/95dGkfHGWT0
Percentage Hacks! How to Get the Percentage of a Number?
https://youtu.be/h8yfFXq-pCI

#fractions
#fraction
#akositeachergon
#civilserviceexam

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https://youtube.com/c/GanitAdhyayanNCERT


whatsapp Channel link
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In this video :-
Addition Subtraction multiplication division of Fraction Numbers
How to add mixed fraction
how to subtract mixed fraction
how to multiplying mixed fraction
How to divide mixed fraction
how to convert mixed fraction into improper fraction
How to convert improper fraction into mixed fraction
multiplication of fraction numbers
Subtraction of fraction

#MixedFeactions
#MultiplyMixedFraction
#gyandarshan
#MixedFractionIntoImoroper

How to subtract fractions by finding the LCD (Lowest Common Denominator).

For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes. All courses developed and taught by me (experienced and certified math teacher 🤩).
With my courses you CAN reach your math goal! 💪

All Courses - https://TCMathAcademy.com/
✓Help with Middle and High School Math (Public/Private Schools)
✓High School & College Math Test Prep
✓Teacher Certification Math Test Prep
✓Homeschool Math Program and Courses for Pre-Algebra, Algebra 1, Geometry, Algebra 2 and Pre-Calculus.


TC Math Notes
Pre-Algebra Notes: https://tabletclass-math.creat....or-spring.com/listin
Algebra Notes: https://tabletclass-math.creat....or-spring.com/listin
Geometry Notes: https://tabletclass-math.creat....or-spring.com/listin
Algebra 2 / Trig Notes: https://tabletclass-math.creat....or-spring.com/listin

This video shows the step-by-step process in adding mixed numbers with dissimilar fractions.

To add the mixed numbers follow the steps below.

First, change the dissimilar fractions to similar fractions.Next, add the whole numbers. Then, add the numerators and copy the LCD. Express the answer in lowest term.

To learn more in Mathematics you can watch my other videos by clicking the link below.

How to Reduce Fractions to Lowest Terms
https://youtu.be/337DIwfv_mk

How to add mixed numbers with the same denominators
https://youtu.be/jk6nYx-I408

How to Add Dissimilar Fractions https://youtu.be/1uo3Wps9cGI

How to Add Similar Fractions https://youtu.be/sQM67aoR4u0

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

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

Prime and Composite Numbers
https://youtu.be/UPt4BrmS1a0

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


#TeacherTes #FilKoreanTV #addingmixednumbersdissimilarfractions
#Mathtutorials


Thank you so much for watching. Please don't forget to subscribe in our channel. Thank you very much! God bless

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In this video I'll show to you how to subtract fractions and mixed fractions from mixed fractions with regrouping step by step and using technique on how to regroup fast.

#subtractingfractions #subtractionoffraction #subtractionwithregroupings

You can watch the other tutorial videos by clicking the link 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 Reduce Fractions to Lowest Terms
https://youtu.be/337DIwfv_mk

How to add mixed numbers with the same denominators
https://youtu.be/jk6nYx-I408

How to Add Dissimilar Fractions https://youtu.be/1uo3Wps9cGI

How to Add Similar Fractions https://youtu.be/sQM67aoR4u0


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

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


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

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