Mixed fractions

Perhaps best, before moving forward on the concept of Mixed Fractions, is to evaluate some other definitions, which may allow us to understand this mathematical notion within its precise context.

Fundamental definitions

In this sense, it may then be best to focus that revision on two specific concepts: integers and fractions, as these are the elements on which mixed fractions are constituted. Here’s each one:


Therefore, it will begin by saying that Integers are those elements or symbols used to represent exact or integer quantities. These numbers constitute the z numeric set, which is considered to be made up of positive numbers, their negative inverses, and zero, so it is then stated that integers can be used to indicate respectively a quantity, absence or zero debt of a specific amount or even the absence or total lack of amount.


Likewise, fractions will be seen as the representation of non-integer or non-exact quantities, so then the elements or symbols with which they realize fractional numbers are considered. They are composed of two elements: the numerator, which will occupy the top of the fraction, to represent how many parts are the entire parts of which the fraction speaks; and the denominator, who for its part will occupy the lower section of the fraction, making known of the number of parts in which the whole is divided.

Mixed fractions

Given these definitions, it is likely to be much easier to address the concept of mixed fractions, also known as mixed number, and which are understood as those numerical elements where both a integer as of a fraction, usually own (that is, it has a numerator that has a much lower value than the denominator) as can be seen below:

Use of mixed fractions

With regard to the use and circumstances in which mixed fractions are used, most sources agree that this type of numerical element consists of an integer and a fraction of its own, is usually fairly everyday use, rather than a mathematician, since it is much more common to account for an amount using a mixed fraction, such as that they have eaten 2 1/2 servings of cake, than to use it in a mathematical exercise, where this mixed number is almost always taken to an im fraction own, before continuing with the operation.

How to turn a mixed fraction into an improper fraction

Whenever you decide to convert a mixed fraction into a fraction, it will be improper, that is, you will have a much larger numerator than the denominator. Likewise, in order to carry out this procedure, which will help to avoid confusion during the development of the different operations with fractions, the following steps should be followed:

  • Having the mixed fraction, the whole number must be multiplied by the number by which the denominator is constituted.
  • The obtained quantity is then added to the numerator.
  • The result is assumed as the numerator of the improper fraction.

Example of conversion from mixed fraction to improper

However, a specific example may still be needed, in which you can see in practice how the correct procedure is performed, that will allow you to convert a mixed fraction into an improper fraction, such as the following:

Convert the next mixed fraction into an improper fraction:

In order to comply with the requirements in the postulate, we will then proceed to multiply the whole number by the value of the denominator, and add it by the numerator, in order to obtain the new numerator of the improper fraction, leaving the denominator as is the one that presents the mixed fraction:


Picture: pixabay.com

Mixed fractions
Source: Education  
September 26, 2019

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