✔️ Class: 6th
✔️ Subject: Maths
✔️ Chapter: Ratio and Proportion
✔️ Topic Name: Introduction

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0:00 Introduction

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Title: Equivalent Fractions: Reducing Fractions to Simplest Terms

You’ve already learned how to reduce fractions by rewriting them with a smaller denominator, and you’ve learned how to find the greatest common factor of two numbers.
In this lesson, you’ll put both of these together to rewrite fractions with the smallest possible numbers. This is referred to as “reducing the fraction to simplest terms.” Before we begin, lets’ look at some new words we use when describing fractions.
The first one is term. Term is another way of saying “number”. Five is a term.
Three-fourths is a term.
And two and five-eighths is a term.
When we write a proper or improper fraction, the numerator is a term and the denominator is a term.
When dealing with fractions we also refer to simplest terms or lowest terms. These both mean the same thing. When a fraction is written in simplest terms, or lowest terms, it means the fraction is written with the smallest possible numbers for the numerator and denominator. A fraction is written in simplest terms when the greatest common factor of the numerator and denominator is one.
Here’s an example. Five-twelfths is written in simplest terms. The greatest common factor of 5 and 12 is one. This means neither the numerator nor the denominator can be written with a smaller number.
Another example. Seven-thirds is written in simplest terms. The greatest common factor of the terms is one, so seven and three are the smallest numbers that can be used to write the fraction.
Nine-fourteenths is written in simplest terms. The greatest common factor of the terms is one.
Six-eighths is not written in simplest terms. One is not the greatest common factor of the terms.
This means we can write this fraction with smaller numbers without changing its value. To find the new numerator and denominator, we need the greatest common factor of six and eight. Two is the greatest common factor. We can use two to rewrite the fraction and reduce it to its simplest terms.
We reduce the terms by dividing each term by the greatest common factor, which is 2. When we divide six by two we get three.
And when we divide eight by two we get four.
Three-fourths is the same fraction as six-eighths, but it’s now written in simplest terms.
When we reduce the terms of a fraction using the greatest common factor, we refer to this as “reducing the fraction to simplest terms”. The value of the fraction remains the same, but the numbers used to write it are smaller.
In the remainder of this lesson, you’ll be asked to determine if a fraction is written in simplest terms. If the fraction is not written in simplest terms, you will be asked to reduce the fraction.

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Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

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Hi Kids! Today we will learn how to compare lengths of objects using the words "Long" and "Short".

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We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this.

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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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Alfred Wegener developed the theory of Continental Drift. It states that at one time the continents were at one time one large land mass that broke apart and the continents drifted away from one another. The continents move away at a rate of about 10 cm per year.

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The concept of division simplified, math video tutorial. This video is an introduction to the basics of how to divide using illustrations. This video is for 2nd grade students. More resources are below.
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In our fossils for kids video we explore all sorts of interesting facts about fossils. In this video you will learn about how fossils are formed including extinct animals and trace fossils, you will also learn about how to find fossils and identify the different kinds. We answer questions like: "What is a fossil?", "How are Fossils Formed?", "What Kind of Fossils are there?" and much more! We hope you enjoy.

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Maureen the rat takes us back through time to one of her ancestors, a rat living in London in 1666 at the time of The Great Fire of London.

In this episode we learn how the fire spread across the city and how the Lord Mayor, Samuel Pepys and King Charles II were involved alongside ordinary citizens.

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Learn how the sulfur cycle works. Sulfur is essential for all living things in order to make protein.

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It's Kids Academy and welcome back to our channel! Singing Christmas carols is a tradition that many enjoy doing each Christmas. Children especially enjoy singing the songs of the holiday season. One of the first Christmas songs for kids that children learn to sing is the Jingle Bells song. This timeless song has a fun melody and easy lyrics. Children and adults of all ages enjoy singing this holiday tune.

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Operation on Function: Difference ||General Mathematics

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Reading a ruler that measures in inches.

Reading a ruler can be a little tricky. What do all of these marks represent?
The ruler is divided into inches which are represented by numbers and then each inch is subdivided into smaller equal units.
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With a little practice you will find easy an inch ruler or tape measure can be easy.

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Meet our new chess animated cartoon for kids: Secrets of the Chessboard: Episode 4 | Chess for Kids - Kids Academy

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The video then shows the students that across the bottom and top of the chess board the squares have a letter, and up the sides of the chess board, each row has a number. With these letters and numbers, each square is named.
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