## Fractions

A

**fraction** or

**simple fraction** or

**common fraction** or

**vulgar fraction** is a number of the form

, where

**m** and

**n** are integer numbers,

**m** (the number above the line) is called numerator and

**n** (the number below the line) is called denominator.

Denominator should not be equal to zero.

The word

*fraction* is from Latin word

*fractus* which means broken.

The word

*vulgar* is from Latin word

*vulgar* which means common.

### Proper and improper fractions

A simple fraction is called a

**proper fraction** if the absolute value of the fraction numerator (numerator without the sign) is less then fraction denominator. Otherwise a fraction is called

**improper fraction**.

Examples of proper fractions:

Examples of improper fractions:

### Mixed numbers

A fraction written in the form of an integer number and proper fraction is called a

**mixed number**, it can be also called

**mixed fraction** or

**mixed numeral**.
Examples of mixed numbers:

,

,

.

A mixed fraction can be written in the form of improper fraction, as an integer number can be always presented as improper fraction with any denominator, for example:

5 =

=

=

=

=

Then

5

2/3

= 5 +

2/3

=

15/3

+

2/3

=

17/3

.

Then the formula for representing

**mixed numbers** as

**improper fractions** is:

.

## How to use Fraction Converter App

Input a proper/improper fraction or a mixed number and click

**"CONVERT"** to get the corresponding decimal number.