# Rational Number Definition

A number that can be represented in the form of a **fraction** is called a **Rational Number**. The word Rational has been derived from the word **"****Ratio" **because it means **"****Divide".**

**Table of Contents**

**Note:**

You can read about Current Ratio in detail on another page of our website.

**For example,**

**2/3** is a rational number because it is represented in the form of a fraction.

Here are some examples of Rational Numbers in the following.

- 2/7 is a rational number.
- 5.75 is a rational number because it can be shown as 575/100.

## What is the Opposite of a Rational Number?

An **irrational number** is the opposite of a rational number. It means that a number that can be written in the form of a fraction is called an Irrational number.

**For example,**

3.33333….. is an irrational number because its denominator is not specified.

**Note:**

You can read about **“**Irrational numbers**”** here.

### How to denote Rational Numbers?

In Mathematics, Rational numbers are denoted by **“Q”**. Its representation can be changed with the level of education or in different books. But generally, shows the rational number.

A rational number can be written by two integers in a fraction format. The integers can be **positive or negative**. In simple, a Rational number can be positive or negative.

### Can we convert a decimal into a Rational number?

A decimal can be converted into a rational number. But there is a condition that a decimal should fulfill for this conversion.

- A decimal can be converted into a rational number only when it has a defined number after the decimal.

**For example,**

3.14 can be converted into a Rational number because it has 2 digits after the decimal point while 3.141414…… can’t be converted into a rational number because the denominator can’t be defined as the digits after the decimal are undefined.

### FAQ's

**Is Pi a rational number?**

No, “Pi” is not a rational number because it neither converts into a terminating decimal nor a whole number when divided.

**How to convert a decimal into a rational number?**

A decimal can easily be converted into a rational number by removing the decimal point and placing the required multiple of 10. But it can’t be converted into a rational number if you have infinite numbers after a decimal.

**Can we change a non-terminating number into a rational number?**

No, a non-terminating number can’t be changed into a rational number.

**What is the second name of non-terminating numbers?**

The second name for non-terminating numbers is "Irrational Numbers".