The first step we are going to take in order to understand the meaning of the term denominator is to proceed to make its etymological origin clear. In doing so, we discover that it emanates from Latin, specifically, from the word “denominator,” which can be translated as “the smallest number that exists in a fraction”.
Denominator is what he calls . A denomination , meanwhile, is the name or nickname that identifies a person or one thing and that allows to distinguish it from another.
The denominator concept is used in mathematics to name, in the fractions at number which indicates the equal parts in which the unit is divided. The denominator is written below the numerator and is separated from it by a line or horizontal line that is known as dividing line .
For example: “The teacher asked us to write five fractions with an even denominator”, “Children still have trouble working with such great denominators”, "In the previous example, 8 is the numerator and 26 is the denominator".
It can be said, therefore, that the denominator is the number that appears at the bottom of a fraction . Above it is the dividing line and, at the top, the numerator appears. If we want to write, as a fraction, the expression of a third, we will have to specify: 1/3 . The number 1 will be the numerator and the 3 , the denominator.
Also, within the area of algebra, we would have to establish that the term literal denominator is also used. This is used to define what the divisor would be.
In the same way, it should be noted that one of the most common operations that are usually done in that area is to proceed to pass a negative denominator in a positive one. That is a task that is carried out by carrying out the multiplication of the numerator and denominator by the fraction -1 / -1. Also, if necessary, the operation could be continued by reducing the fraction to its simple form.
On the other hand, it is necessary to establish that the denominator of a fraction can never be the number zero. And if that were the case, a notable problem would occur since the division by it would result in a limit with infinite value, which is undetermined and that no electrical apparatus of mathematics can write.
In that sense, we must also clarify that dividing by zero is something that is not theoretically defined since the infinite, which we have mentioned that would be obtained, is not a number. Hence, he cannot establish that as a denominator because he would fall into a mathematical contradiction.
He common denominator It is he who is the same in two or more fractions. This facilitates operations between fractions. The notion of least common denominator , meanwhile, refers to the result of calculating the least common multiple of the fractions with different denominator.
In everyday language, finally, the expression of "common denominator" To refer to something that is shared by different things : “Defensive weakness is the common denominator of the teams of Bolivia and Ecuador”.