Examples of sum of fractions with equal numerator

Perhaps it is best to review the very definition of this operation in order to make progress on each of the exercises that can serve as an example to the Sum of fractions with equal numerator, in order to briefly review the definition of this operation, so that we can understand each of these exercises within its indicated context.


Sum of fractions

In this way, it can be said that Mathematics has chosen to define the Sum of fractions as an operation where two or more fractions are proposed to determine what is the fraction resulting from the combination of their respective values. Thus, this discipline sets out what are the elements that participate in a Sum of Fractions operation, which can be described in turn as follows:

  • Addends: composed by each of the fractions that participate in the operation.
  • Total: fraction obtained based on the combination of the different values of the sum.

Steps to solve the Sum of fractions with equal numerator

As for the correct way in which such an operation should be resolved, mathematics indicates that the method will basically depend on the homogeneity or heterogeneity that can be found in them.

One of the cases that may exist in this regard, will be the one that raises a sum operation in which the fractions involved have the same numerator, regardless of the value of their denominators. In this sense, the Mathematics indicates that the correct way in which this type of operation should be solved will be through each of the following steps:

  • First, each element of the operation will be reviewed to determine whether they are actually fractions that share equal numerators.
  • When it has already been determined that it is in effect a Sum between fractions with equal numerator, then this will be taken as the common factor between fractions.
  • The values of the denominators shall also be added.
  • The fraction obtained will be reviewed to find out if there is any number that allows to divide each of the elements of this operation, that is, a common numerator. If found, the operation will be simplified until the irreducible expression is achieved.
  • In doing so, this fraction will then be taken as the final result of the operation.

Mathematics has also pointed out that the correct procedure by which a fractional sum operation of equal numerator must be solved can be mathematically expressed as follows:

Examples of Sum of fractions with equal numerator

However, it may also be useful to set out a specific example, where it can be seen in practice how each of these steps is accomplished, when in a sum of fractions it has then been determined that the fractions involved have equal Numerators. Here’s an example of the Sum of fractions that match their numerators:

Resolve the following fractionsum:

Having found that the fractions involved have equal numerator, the task is then assumed to consider it as a common element, and then proceed to sum the values of their respective denominators:

When you reach this fraction, you will see that it can be simplified, so the operation will be carried out to achieve its irreducible expression. The result is assumed as the total of the addition operation between fractions of different denominator.

Other examples

Among the other examples that can be used to see how a fraction sum operation is resolved, you will find the following

Picture: pixabay.com

Examples of sum of fractions with equal numerator
Source: Education  
September 22, 2019


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