**equivalent fractions** relate to a property of the __fractions__, representatives of the set of __rational numbers__. This property shows that there is an infinite number of **fractions representing the same amount**, that is, express the same number.

In __math__, when we say that two elements are equivalent is the same as saying that they are equal. So when we say that A is equivalent to B, we can represent them by:

A = B

**Know more:** __Fraction and Mathematical Operations: Learn How to Solve Them__

**What are fractions?**

fraction is a **way of representing parts of one or more integers**. For example, when dividing a pizza into 8 slices, we will have that each part corresponds to one eighth of the total. Check the picture:

That is, if we add all the parts, we will get an integer, see:

The number found in the **top part of the fraction** we call **numerator,** and the number that is in the **bottom** we call **denominator**. So, in the previous example, the number 1 is the numerator and the number 8 is the denominator.

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**What are equivalent fractions? **

Equivalent fractions are those that represent the same amount or the same number. See the example:

Looking at these images, we can find some equivalences, for example: consider **6/24** is the same as considering **1/4**. That is:

We can also say that **12/24** is the same as considering **1/2**. That is:

Or, for example, consider **18/24 **is the same as considering **1/3.**

These fractions are all equivalent as they represent the same amount. Also notice that if the __we simplify__ we will find other equivalent fractions.

Let’s say two fractions are equivalent **when the ****multiplicamos**** crosswise and the result of equality is true**. See the next example:

Check that the 18/24 and 3/4 fractions are equivalent.

**Read more: **__Fraction reduction to the same denominator__

**How to find equivalent fractions?**

To find the equivalent fraction or fractions, simply divide or multiply the numerator and denominator of the fraction by the same non-zero number. When we perform the division operation, we are **simplifying** the fraction.

Let’s determine some fractions equivalent to 2/8.

**solved exercises**

**question 1** – Check if the following fractions are equivalent:

**Resolution**

**question 2** – Knowing that these fractions are equivalent, determine the value of x:

**Resolution**

by Robson Luiz

Maths teacher