## 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 […]

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 […]

## 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 […]

## 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) […]

## 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 […]

## 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 […] ## Adding and subtracting signed numbers

The word addition is used as a noun in the English language to mean ‘the process of calculating the total of two or more numbers or amounts’. To represent the process of addition in mathematical form, we make use of a symbol shaped like a cross (+). Historic records show that Henricus Grammaticus, a German […]

## An introduction to the theory of numbers

Numbers are a fundamental concept in mathematics. We learn of them in the early stages of our math education (in our elementary classes), but not many of us can explain the nature of numbers succinctly. In school, we were wrongly introduced to numbers as abstract symbols that are used in arithmetic operations. If we want […] 