Example of Adding Fractions

Fractions are quantities that are expressed with a numerator (tells us how many parts we are talking about) and a denominator (indicates how the unit is divided). Being numerical values, they participate in all basic mathematical operations: addition, subtraction, multiplication and division. On this occasion, we will talk about the sum.

Find all about fractions here: Fractions Example.

How do you add the fractions?

To add fractions, the requirements are as follows:

• All must be in the form of a proper fraction or improper fraction
• That they all have the same denominator

If the fractions are mixed, they will have to be converted to an improper fraction. You can know how to solve them here: Example of Sum of Mixed Fractions.

There are going to be two main cases in which we will have to add fractions:

• Sum of fractions with the same denominator
• Sum of fractions with different denominators

Sum of fractions with the same denominator

When you have the same denominator in all fractions, the sum is calculated

adding all the numerators. In the end, if the result is an improper fraction, it is converted to a mixed fraction to write it more formally.

For example:

Sum of fractions with different denominators

When you have different denominators in the fractions, the necessary ones will be transformed to equivalent fractions have the same denominator. When this is achieved, all the numerators can be added. In the end, if the result is an improper fraction, it is converted to a mixed fraction to write it more formally.

For example:

Examples of Adding Fractions

Various cases of the addition of fractions are presented. Same and different denominators are addressed.

Now you know how to add fractions correctly.

You may also like:

• Subtraction of fractions
• Sum of mixed fractions
• Sum of fractions with integers
• Sum of fractions with different denominators
• Multiplication of fractions
• Division of fractions
• Square root of fractions