Internal property in the Fractions Division

It is likely that the best way to approach an explanation of internal property, inherent in the Fractions Division, is to begin by reviewing some concepts, which will allow us to understand this mathematical law in its precise context.


Fundamental definitions

In this sense, it may also be prudent to delimit this theoretical review to two specific notions: the first of these, that of the fraction itself, in order to take into bear in mind the nature of the mathematical expression involved in the operation giving rise to the Internal property, i.e. the Fractions Division, the concept of which must also be taken into account. Here’s each one:

Fractions

In this way, it will begin by saying that fractions have been explained by Mathematics as one of the two possible expressions with which fractional numbers count, hence the fractions are then understood as the representation of amounts fractional or not exact.

On the other hand, this discipline has also indicated that the Fraction will always be without exception consisting of two elements, each of which has been defined in turn as follows:

  • Numerator: First, you will find the Numerator, which is the numerical element intended to be at the top of the expression, and which is tasked with pointing out which parts are entirely the fraction counts for.
  • Denominator: in the second instance, there will be the Denominator, an element of the fraction that occupies the bottom of it, and that has as its mission to indicate how many parts the whole is divided, of which the numerator points some parts.

Fractional division

Likewise, it will be necessary to take a moment to review the concept given by the Mathematics on the Division of Fractions, which on the other hand will be understood as a type of operation by which it is sought to calculate what is the ratio obtained by dividing a fraction between another, or what’s the same: try to determine how many times a specific fraction fits into another.

As for the indicated way of solving this type of operations, the Mathematics indicates that the method of cross multiplication should be applied, then multiplying the numerator of the first fraction by that of the second, as well as the denominator of the fraction by the numerator of the expression with which it is dividing. The result, if possible, should be simplified. This mathematical operation may be expressed as follows:

Internal property in the Fractions Division

Bearing in mind each of these definitions, it may certainly be much easier to address an explanation about Internal Property present in the Fractions Division, which basically stipulates that it is always – and without exception – that it be perform such an operation, i.e. a Division between two fractions, the result will also be a fraction.

Therefore, this Law is called Internal Property because it suggests that the results or quotients obtained in the purpose of resolving the proposed operation, whatever, will belong to or may be considered within the fractional numbers, and specifically within the Fractions.

Examples of Internal Property in the Fractions Division

However, the most efficient way to close an explanation on the Internal Property of the Fractional Division may be to provide some examples, which allow us to see in a practical way how this Law is complied with, as can be seen below:

Picture: pixabay.com

Internal property in the Fractions Division
Source: Education  
September 26, 2019


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