Improper fractions

It is likely that it is best before undertaking an explanation of improper fractions, is to briefly revise some definitions, which will allow us to understand this type of fraction within their precise mathematical context.


Fundamental definitions

In this sense, it may also be necessary to focus this review on two specific notions: the first, the very concept of Rational Numbers, since these constitute the numerical set within which the numbers are contained fractional, ‘whose definition shall also be taken into account. Here are each of these concepts:

Rational numbers

Therefore, it will begin to say that Mathematics has chosen to explain rational numbers as those numerical elements that make up the eponymous set, or also known as the Z-set, and in which they can be counted as both elements integers, then used to refer to exact quantities, such as fractional numbers.

Also, just as the Q set takes integers and fractionaries as subsets, this collection is identified both as a scoset of the Real numbers.

Fractional numbers

As for fractional numbers these will be seen by Mathematics as those numerical elements, which belong to the whole of the Rational Numbers, serve to represent inaccurate amounts, hence they are called fractional, they will serve to represent portions or parts of numbers.

This type of number will have two types of representation, since they can be expressed both through a decimal expression, which will present a mixed number, consisting of an integer and a decimal number, which will be separated by a comma as well as as for a fraction, an expression that will also have two elements, each of which can be defined as follows:

  • Numerator: The number that occupies the top of the fraction will be known as the numerator. Likewise, the different mathematical sources indicate that the function of the numerator will be to indicate how many parts of the total represents the fraction that makes up.
  • Denominator: For its part, the denominator fulfills the task of constituting the bottom of the fraction. Its function in mathematical terms, as indicated by the different authors will be to indicate the total of parts that make up the whole reference to which a portion of it is represented, through the fraction.

Improper fractions

With these definitions in mind, it is perhaps certainly easier to understand the definition of improper fractions, which are explained by Mathematics as a type of fraction, which is characterized mainly by having a denominator much larger than the denominator. Examples of such fractions will be as follows:

Likewise, mathematical discipline states that if the division raised between these two integers constituting the fraction was resolved, the resulting decimal expression would be characterized by being constituted by a mixed number, where the whole number would be a number equal to or greater than the unit. An example of this would be the following:

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Improper fractions
Source: Education  
September 21, 2019


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