Sum of fractions with equal numerator

Perhaps it may be best for it, before moving forward with an explanation of the correct way in which a sum of fractions of equal numerator should be resolved, is to review some definitions, which will allow us to understand this operation and its methods of resolution within its indicated context.

Fundamental definitions

In this sense, it may also be prudent to define this theoretical revision to two specific notions: the first, the definition of fractions itself, since this will allow to take into bear in mind the nature of the mathematical expression on the basis of which it takes place this operation.

On the other hand, it will also be useful to throw lights on the definition of sum of fractions, since it is the mathematical process that serves as the framework for this case in which the fractions involved have equal numerators, and different denominators. Here are each of these concepts:


Therefore, it will begin by saying that mathematics points to fractions as one of the two expressions with which fractional numbers count. Thus, the different authors point out that fractions can be described as the approach of a division between integers, where each of the elements that make up it, are understood as follows:

  • Numerator: Set by the element or number that occupies the top of the expression. This element accomplishes the task of indicating the entire part that the expression is given to the rendering task.
  • Denominator: The denominator will be the number or element that occupies the bottom of the fraction. According to what the different mathematical sources indicate, the denominator will be the element of the fraction that gives an entire account, based on which the fraction is established.

Sum of fractions

Similarly, it will be entirely helpful to review the definition offered by the Mathematics on the Sum of Fractions, which is described as an operation in which it is intended to determine a total value based on the combination or additions of the values of each of the fractions that participate in the operation, and which they exercise as the additions of the operation.

Likewise, mathematics indicates that it is the homogeneity or heterogeneity of the fractions involved in the addition operation, which determines the appropriate method of resolution of this operation.

Sum of fractions of equal numerator

With these operations in mind, it is perhaps much easier to approach an explanation of the Sum of fractions of equal numerator, and that as well as the different situations with respect to the shape and values of the elements of the fractions involved, will determine how the operation should be resolved.

As for the specific case of sum of fractions of equal numerator, the following method should then be followed:

  • Once the transaction has been raised, the elements of each of the fractions inherent in the sum should be reviewed.
  • When it has already been determined that in fact each of the fractions participating in the operations has equal numerator, regardless of the value of the denominators, then the sum is expressed as a single fraction.
  • In this way, the values of the denominators are then summed, while the value of the numerator common to all is maintained. The total obtained is interpreted as the final result of the operation.

Examples of Sum of fractions of equal numbered

However, it may be necessary to give a specific example, which allows you to see in a practical way how such a sum is performed, that is, the fraction sum operation where they have equal numerator, as shown below:

Add the following fractions:


Sum of fractions with equal numerator
Source: Education  
September 21, 2019

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