# Difference Between Fractions and Rational Numbers

If you’re studying math, you might have come across the terms “**fraction**” and “**rational number**” frequently. Although these two terms are often used interchangeably, they are not the same thing. In this article, we’ll explore the difference between a fraction and a rational number and explain why it’s important to know the distinction.

**Difference between a Fraction and a Rational Number**

The main difference between a fraction and a rational number is that a fraction is part of a whole, while a rational number can be any number that can be expressed as a fraction. In other words, all fractions are rational numbers, but not all rational numbers are fractions.

**For example**

5 is a rational number but not a fraction because it can’t be expressed as a fraction with an integer numerator and denominator. On the other hand, 1/2 is both a fraction and a rational number because it can be expressed as a fraction with

On the other hand, 1/2 is both a fraction and a rational number because it can be expressed as a fraction with an integer numerator and denominator.

Another difference between fractions and rational numbers is that fractions always have a specific place value, while rational numbers can be represented in different ways. For example, 1/2 is always 0.5 in decimal form, while 0.5 can also be represented as 50/100, 5/10, or even 10/20.

### Is a fraction a rational number?

Yes, all fractions are rational numbers

### Can a rational number be negative?

Yes, rational numbers can be either positive or negative

### Is 0 a rational number?

Yes, 0 is a rational number because it can be expressed as the fraction 0/1.

### How do you add or subtract rational numbers?

To add or subtract rational numbers, simply add or subtract the numerators and keep the same denominator.

### How do you convert a fraction to a rational number?

To convert a fraction to a rational number, express the fraction as a ratio of two integers by multiplying or dividing the numerator and denominator by the same number.

## Leave a Reply