All the things in life cannot always be expressed in the form of pure integer values such as 1, 2, 3, 4 etc. Suppose we have a round cake and we cut it into four equal parts. Now if one part is taken away and someone asks you, how much cake is remaining? You would say that three-quarter of the cake are remaining. Three-quarter is a fraction which is numerically written as ¾. Let us now try to understand in detail, What Is Fractions In Maths and look at various types of fractions.
What Is Fractions In Maths
A fraction, in general, represents the number of equal parts that is present in a non-integer number. Suppose we go back to our example of three-quarters of ¾, it represents that there are three parts and each part is equal to ¼ or a quarter. Thus, there are necessarily two parts in a fraction, one on top of the line and another at the bottom of the line. These two numbers together with a separating line in between represent a fraction. The number on top is referred as the numerator and that at the bottom is called as denominator. The numerator and denominator must be integers and denominator cannot be zero. Now that we understand, What Is Fractions In Maths; lets us look at different types of fractions to understand them in detail.
Before we look at different types of fractions, we must understand that the numerator represents the number of parts and the denominator represents how many such parts will be required to make up a whole or unity. Suppose, we have a fraction 5/9 with 5 as the numerator and 9 as the denominator, the numerator 5 tells us that there are 5 parts and the denominator 9 tells us that 9 such parts will be required to make a whole. In simple terms, if we add 9 such parts, we will get 1.
Fractions can be classified into various types such as proper and improper fractions, positive and negative fractions, simple fractions, proper fractions etc. A fraction can be both positive and negative. If both the numerator and the denominator has the same sign (negative or positive), the fraction be termed as a positive fraction. If the signs are opposite, it will be a negative fraction.
If the numerator in a fraction is less than the denominator irrespective of the sign, it is called as a proper fraction. The absolute value of a fraction is always less than 1. An improper fraction has numerator greater than the denominator and thus its absolute value is always greater than one. A simple integer can also be expressed as a fraction with denominator as 1.
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