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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! ✌️✌️✌️
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Partial Fraction Decomposition Form for Repeated Factors:
A factor is repeated if it has multiplicity greater than 1.
If the repeated factor is linear, then each of these rational expressions will have a constant numerator coefficient.
If the factor is to the power of 3. Therefore, 3 rational expressions are needed in the partial fraction decomposition, with each of the denominator is raised to a different positive integer power up to 3, wih 1, 2 and 3 respectively. Since it's linear factor, each of these rational expressions will have a constant numerator coefficient.
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Solving Equations with Fractions| Expressions & Equations | Grade 8
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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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Dividing fractions word problems (ex 1)
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Just because a linear equation has a fraction doesn't mean it is impossible to solve. Solve linear equations in fractions with help from an experienced math teacher in this free video clip.
Expert: Marija Kero
Filmmaker: Victor Varnado
Series Description: Linear algebra commonly requires you to recognize not just variables within a particular equation, but also requires you to remember the order of operations to arrive at the correct answer. Get tips on linear algebra education and learn how to solve a variety of different types of problems with help from an experienced math teacher in this free video series.
How to Simplify Improper Fractions. Part of the series: Fractions, Percents & Other Calculations. An improper fraction is a fraction in which the numerator, what is above the line, is bigger than the denominator. Simplify improper fractions with help from a high school math tutor in this free video clip.
Hello
Learn addition and subtraction of unlike fractions by one more example.
Understand and practice how to use LCM to solve any fraction question.
This video is about #Addition and #Subtraction of #UnlikeFractions. Students find it confusing to add or subtract unlike fractions, but after watching this video you all will have clear understanding of how to add or subtract unlike fractions.
Add fractions with unlike denominators
Subtracting unlike fractions
How to add and subtract three Fractions with different denominators
Adding unlike Fractions,Subtracting unlike fractions,Class 6th Maths adding and subtracting unlike fractions,Adding and subtracting unlike fractions class 6th maths,Common denominators,Finding a common denominator,Pages by Aapi,Add fractions 5th grade,Unlike denominators 5th grade,5th grade fractions,Adding fractions help,Fifth grade adding fractions help
LCM and how to find LCM?
https://youtu.be/oKwXKzy22CU
Fractions: https://www.youtube.com/playli....st?list=PL9r9Sdv5gpK
In this Lecture, Addition and Subtraction of Fractions concept is explained in detail using LCM.
Shortcut Trick to find the LCM is also explained.
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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Solving Radical Equations With Square Roots, Cube Roots, Two Radicals, Fractions, Rational Exponents
This Algebra 2 video tutorial focuses on solving radical equations with square roots, cube roots, two radicals, fractions, and rational exponents.
Fundamental Theorem of Algebra: https://www.youtube.com/watch?v=cAfRgqEOURw
Rational Expressions - Basic Intro:
https://www.youtube.com/watch?v=0Gq3uw2p6fA
Simplifying Rational Expressions:
https://www.youtube.com/watch?v=uVpsz-xpnPo
Multiplying Rational Expressions:
https://www.youtube.com/watch?v=RROSgr4oXjU
Dividing Rational Expressions:
https://www.youtube.com/watch?v=rMVOdIDNjpA
______________________________________
Adding & Subtracting Rational Expressions:
https://www.youtube.com/watch?v=WWwG2uh4OUE
Rational Expressions - Unlike Denominators:
https://www.youtube.com/watch?v=1KGVwaUhR-s
Simplifying Complex Rational Expressions:
https://www.youtube.com/watch?v=ifDEetTq8bM
How To Solve Rational Equations:
https://www.youtube.com/watch?v=1fR_9ke5-n8
Rational Equations - Extraneous Solutions:
https://www.youtube.com/watch?v=PvMYq9JD724
_____________________________________
Horizontal and Slant Asymptotes:
https://www.youtube.com/watch?v=kvhpu1TkSjI
Finding Rational Functions Given 2 Points:
https://www.youtube.com/watch?v=ODs3t1vX1GY
Rational Functions - X and Y Intercepts:
https://www.youtube.com/watch?v=ebpEDR4-Q3Y
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Shortcuts to do calculations mentally, useful for developing numerical aptitude and for success in competitive examinations.....here is an interesting video in which two statement problems of FRACTIONS are solved using the short methods.....too good for saving time during competitions.....for more such interesting short tricks, keep visiting:
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Also Watch:
One-Step Method to Add Mixed Fractions - https://www.youtube.com/watch?v=YIZ0QWbV0qE&t=2s
Find Greatest Fraction - https://www.youtube.com/watch?v=kimHq7ZWfVY
Solving Statement Problems of FRACTIONS - https://www.youtube.com/watch?v=VtlwaLSQnPA&t=2s
Fractions & Percentages Simplified - https://www.youtube.com/watch?v=TeJ9A_B-tww
3-Second Trick to Find LARGEST FRACTION - https://youtu.be/qIAvp6QMlJk
Easiest Way to SIMPLIFY MIXED FRACTIONS - https://youtu.be/Z0SJIEjE2-k
ORDERING FRACTIONS MENTALLY - https://www.youtube.com/watch?v=UO-w56BuMJg&t=276s
Simplification of Mixed Fractions - https://www.youtube.com/watch?v=2-99IT4kX2U
Handle Fractions the Easiest Way - https://www.youtube.com/watch?v=wrl7qCviJo8
Simplification of FRACTIONS Using BODMAS - https://www.youtube.com/watch?v=1QZHcSTuHT0&t=2s
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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
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A-level - Not on your course
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