# Definition:Rational Number/Fraction/Vulgar

< Definition:Rational Number | Fraction(Redirected from Definition:Vulgar Fraction)

## Definition

A **vulgar fraction** is a rational number whose absolute value is less than $1$ expressed in the form $r = \dfrac p q$ where $p$ and $q$ are integers.

## Examples

- $\dfrac 1 2$ is a
**vulgar fraction**.

- $\dfrac {-3} 4$ is a
**vulgar fraction**.

- $\dfrac 6 {10}$ is a
**vulgar fraction**, although not in canonical form.

- $\dfrac 3 2$ is
*not*a**vulgar fraction**, as its absolute value is greater than $1$: it is in fact an improper fraction.

## Also known as

A **vulgar fraction** is also known as a **proper fraction**.

## Linguistic Note

The word **vulgar** literally means **common**, in the sense **usual** or **everyday**.

It derives from the Latin **vulgus**, meaning **the common people** in the sense of **the public**.

Through the process of the euphemism treadmill, the word in natural language has since gained the meaning **rude** or **impolite**.