Perhaps the best thing, before addressing a definition of heterogeneous fractions, is to revise in advance the very concept of Fractions, in order to be able to understand this type or category, within its precise mathematical context.
In this way, it will begin by saying that Fractions are understood by Mathematics as one of the forms of expression with which fractional numbers count, which will therefore make the fraction a representation of a portion, fragment or fraction of an amount, that is, that this mathematical expression will always and without exception represent an unaccurate amount.
Elements of the fraction
Mathematics will also indicate that fractions can be understood as an expression constituted by the approach of dividing two integers, each of which stands as an element of the fraction, then having its own definition and task, as shown below:
- Numerator: First, you will find the Numerator, a numeric element that will be arranged or occupy the top of the fraction, and which will be responsible for showing what part of the whole represents the fraction.
- Denominator: The denominator will be the number at the bottom of the expression. Its function will be to indicate in how many parts the whole is divided, of which the fraction represents a portion.
However, a graphical example may be required, allowing you to see closely what part of the unit reflects each of the elements of the fraction, such as the one presented below:
In this case, you can see how the unit is divided into five parts, so then this situation will be reflected by the denominator, while in turn, of the five parts in which the unit has been divided, only three of them will be taken , which will be represented in the numerator. Therefore, this fraction refers that these are only three of the five parts in which the unit has been divided.
With these definitions in mind, it may then be much easier to approach the concept of heterogeneous fractions, which have been explained as those fractions that do not match either in terms of their numerators, nor with regard to their Denominators. Therefore, even if they point to the same unity, it is divided into different forms, and thus equal parts are taken, they will be considered heterogeneous. However, this concept may also merit a graphical example, which allows you to visualize the differences that make two or more fractions heterogeneous, such as the following:
In this case you will see how in the first example, the unit is divided into six parts (denominator) of which only two parts (numerator) are taken.
On the other hand, in the second example, although it is the same unit, it has been divided into three parts (denominator) from which only one part will be taken. Consequently, by having different denominators, the product of the different divisions to which the unit has submitted, mathematics concludes that these are heterogeneous fractions.
Examples of heterogeneous fractions
However, you can most efficiently complete an explanation of heterogeneous fractions through some examples, such as those shown below:
September 22, 2019