# Subtraction of fractions

It is important to remember that a **fraction** is a way in which the division that exists between two numbers can be represented. Fractions are represented by the **numerator** or the number that is placed at the top and by the **denominator,** which is the number that is placed at the bottom. Fractions like natural numbers can be subjected to different **mathematical operations** among which we find the **subtraction of fractions** .

## What is a fraction subtraction?

Subtraction of fractions or subtraction of fractions is a basic **mathematical operation** that makes it possible to find the **difference** between **two** different **fractions** in an equivalent type.

- What is the subtraction of fractions?
- What is it for
- Subtraction of homogeneous fractions
- Subtraction of heterogeneous fractions
- Importance
- Examples

## What is the subtraction of fractions?

The subtraction of fractions is a **mathematical operation** belonging to the branch known as **arithmetic** in which, using two different fractions, a third fraction can be obtained that turns out to be the **difference** between the two.

It is also important to know that the subtraction of fractions is represented by means of a symbol equal to a small line which is known by the name of ” **minus** ” and which is represented by the symbol ” **–** “.

## What is it for

A fraction subtraction is used to know what is the **difference** in quantity that exists between **two different fractions** . It is used to solve a series of different mathematical problems in which it is necessary to know the difference between points or objects.

## Subtraction of homogeneous fractions

In order to subtract two homogeneous fractions, which are the fractions that have an **equal ****number** in their **denominators** , the following steps must be followed:

- Fractions are placed in
**subtraction position**including the symbol “-“. - We then proceed to place the
**numerators**of both fractions in position so that they are subtracted and the**denominator**is left the**same**. - The numerators are
**subtracted**and the denominator continues with the same number.

## Subtraction of heterogeneous fractions

Heterogeneous fractions, which are those that have the **numbers** in **different** denominators , can be subtracted following this process:

**Fractions**are placed in subtraction position.- By having different denominators, the first thing to do is get the
**least common multiple**of them. **Equivalent fractions are**obtained using the lowest common denominator that has been calculated, looking for the number by which the denominator can be multiplied to give that denominator as a result.- The
**numerator**must be**multiplied**by the same number that was used to multiply the denominators. - The last step is to place the fractions with the same denominator and
**calculate the result**.

## Importance

The main importance of subtracting fractions lies in the possibility that this operation has of being able to know the **exact difference** between two numbers that have been represented in fractional units.