Equivalent fractions

We read about fractions in the articles titled ’Arithmetic fractions’ and ‘Algebraic fractions’.  There are a few properties of fractions that are essential to a clear understanding of the topic. In this article, we will read about the equivalent property of fractionsIn his expository book, De Morgan says the following of fractions –‘A fraction (arithmetic) […]

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Equivalent fractions (Algebraic and Arithmetic)

We read about fractions in the articles titled ’Arithmetic fractions’ and ‘Algebraic fractions’.  There are a few properties of fractions that are essential to a clear understanding of the topic. In this article, we will read about the equivalent property of fractions In his expository book, De Morgan says the following of fractions – ‘A […]

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Writing equivalent fractions

In the article titled ‘equivalent fractions’ Conceiving equivalents of any fraction is a simple exercise. For arithmetic fractions, we will refer to Mr Gary. S. Goldman’s Pre-Algebra book, in which he writes “Whatever you do to the numerator (or top of the fraction), you have to do the denominator (or bottom of the fraction).” This […]

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Divisibility of numbers

The theory of numbers has been called a “neglected but singularly fascinating subject.” “Magic charm” is the quality ascribed to it by the foremost mathematician of the nineteenth century (Gauss). Gauss said also: “Mathematics is the queen of the sciences, and the theory of number the crown of mathematics.” And he was master of the […]

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Equal fractions

We read about fractions in the articles titled ’Arithmetic fractions’ and ‘Algebraic fractions’.  There are a few properties of fractions that are essential to a clear understanding of the topic. In this article, we will read about the equivalent property of fractions In his expository book, De Morgan says the following of fractions – ‘A […]

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Distinction between algebraic and arithmetical fraction

We all agree that math educators should strive to produce good mathematics. But how does one define good mathematics? It is fairly evident that there are many different types of mathematics which can be designated ‘good’. Good mathematics may refer to good mathematical problem solving, it may refer to good mathematical technique, and it may […]

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Reading and Writing fractions

We have all read and used the concept of fractions in our daily lives. Fractions are signs that are popularly used to denote parts of quantities. An apple that has been sliced into four, becomes 4 quarter-apples and is denoted by the sign 1/4 apple. A gas tank which is half filled is denoted by the […]

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Unit fractions

Unit fractions  If we want to succeed in algebra, it is imperative that we learn all the basic definitions associated with the concept.The definition of the term ‘unit’ is one of chief importance in algebra, and possibly, in the whole of mathematics. Defining unitsThe term ‘unit’ has been put in beautiful language in the book […]

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Algebraic fractions

Arithmetic fraction A fraction describes how many parts of a certain size there are, for example, one- half, three-eighths, one- quarter, three quarters etc.The shortcomings of natural numbers become wholly evident when an integer is to be divided by another integer, by one that is not its divisor, and then the idea of the quotient becomes […]

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Arithmetic fractions

We all have read the concept of fractions in school. The idea of fraction has been used ubiquitously since the time of the ancient Egyptians and continues to be used in our contemporary world.  The word ‘fraction’ has become part of our everyday vocabulary. We use the word as synonymous with the word part. Are […]

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