Subtract of fractional numbers

Perhaps the best thing, before addressing the mathematical operation known as Fraction Sunder, is to briefly review some definitions, which are useful in understanding this procedure within its indicated context.

Fundamental definitions

In this sense, it may also be helpful to focus this theoretical review on two specific notions: the first, the very definition of fractional numbers, which will help to be aware of the nature of the numbers on the basis of which perform this operation. Thus it will also be important to bring to chapter the concept of Fraction, in order to keep in mind the mathematical expression that participates in this operation. Here’s each one:

Fractional numbers

Consequently, it will begin by saying that mathematical discipline explains fractional numbers as those numerical elements with which you may realize inaccuracies, which is why, as some authors claim, they are called this way, since they would be pointing to fractional amounts or portions of numbers.

On the other hand, these numbers are considered, together with the Integers, the elements on which the set of rational numbers is constituted, also known as the Q set. Mathematics has also pointed out that fractional numbers have at least two types of expressions, since these numbers can be expressed in both fraction and decimal expression form.


Similarly, it will be relevant to approach a definition of fractions, which have in turn been defined as the mathematical expression consisting of a division of integers, each of which fulfills its own function, and which have been defined to its and thus:

  • Numerator: First, you will find the number that you exercise as a Numerator, which will be located at the top of the fraction, indicating what part of the whole it refers to.
  • Denominator: likewise, the fraction will have a Denominator, which will be understood as the number that is located at the bottom of the fraction, and that will fulfill the task of indicating by how many parts the whole is composed, based on which the fraction is erected.

Rest of fractions

Having revised these definitions, it is perhaps certainly easier to approach a conceptualization on the Fraction Sunder, which has been explained respectively as the mathematical operation aimed at determining the difference between two fractions. However, it should be noted that it is the situation of homogeneity or heterogeneity between the fractions involved that will determine the correct way to solve this operation, since there isn´t a single method, as can be seen below:

If fractions have the same denominator

In the first instance, it may be the case that the fractions on the basis of which the subtraction operation is established have the same denominator. In this case, we will then simply subtract the values from the numbers that serve as a numerator. Finally, you may need to simplify the result. An example of such cases would be as follows:

If fractions have different denominators

However, it may also be the case that the fractions to be subtracted do not have the same denominator. In this case, most sources indicate that the first step to take is to convert fractions into similar ones, a fact that is achieved by calculating the common denominator, for which the following procedure is then followed:

With the fractions with equal denominator, then the values of their numerators are subtracted. It will also be taken into account whether the subtraction result can be subjected to a simplification process. An example of this fraction subtraction case may be the following:


Subtract of fractional numbers
Source: Education  
September 21, 2019

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