Perhaps the best thing, before entering into an explanation of the Distributive Property present in the Multiplication of Fractions, is to revise some definitions, which will allow us to understand this Mathematical Law within its precise context.
In this sense, it may also be relevant to delimit this theoretical review to two basic notions: the first, the very definition of Fractions, as this will help to take into bear in mind the nature of the elements involved in the operation Commutative property in fraction multiplication
Perhaps best, before advancing an explanation concerning commutative property in the multiplication of fractions, is to briefly review some definitions, which will allow us to understand this Mathematical Law within its appropriate context.
In this sense, it may be best to focus this review on two specific notions: the first of them, the very definition of fraction, because this will allow to keep in mind what is the nature of the mathematical expressions involved in this property Mathematical. It will also be prudent to throw lights on the concept of Multiplication of Fractions, since this is the operation in respect of which the Comcomative Law is given. Here are each of these definitions:
In this way, it will be important to begin to say that Fractions can be understood as one of the two possible mathematical expressions that have fractional numbers, so then these will serve to represent non-exact or non-whole amounts. On the other hand, Mathematics has also indicated that fractions will consist of two elements, each described in turn as follows:
Numerator: First, you will find the numerator, which occupies the top of the fraction, and whose main mission is to account for the amount that has been taken relative to the whole.
Denominator: the denominator will consist of the number that occupies the bottom of the fraction. Your task will be to point out how many parts the whole is made up of.
Multiplication of fractions
It will also be of great importance to address the concept of Fraction Multiplication, which can then be explained as a mathematical operation by which it seeks to clarify or determine what is the result of adding a fraction by itself as many times as a second fraction points out, hence this operation has also been interpreted as an abbreviated sum of fractions.
As for their specific way of being resolved, the Mathematics also indicates that the number constituting the numerator of the first fraction should be multiplied by the numerator of the second, in order to get the numerator of the product, at the time when the denominators of the fractions involved in the operation must also be multiplied, in order to obtain the denominator of the product of the fraction, a procedure which may be expressed mathematically as follows:
Commutative property in fraction multiplication
Bearing these definitions in mind, it may certainly be much easier to understand the explanation offered by the Mathematics on Commutative Property present in this operation, and which has basically been described as the Law that states that always and if exception when two or more fractions multiply, they may actually alter or vary their orders, as this will not represent any change in the result or product obtained. That is, the order of the factors does not alter the product. Likewise, this Property can be expressed mathematically as follows:
Example of Commutative property in fraction multiplication
However, the best way to complete an explanation of the Commutative property in the multiplication of fractions may be through the exposure of a particular example, which allows to see in practice how actually once the factors change their order there is no alteration to the result, as can be seen below:
September 26, 2019
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