# Proper Fractions

\frac{3}{8}

(Three-Eighths)

A Proper Fraction has a top number

less than its bottom number

less than its bottom number

## Examples

\frac{3}{8} | \frac{1}{4} | \frac{14}{15} | \frac{4}{5} |

See how the top number is smaller than the bottom number in each example? That makes it a Proper Fraction.

More Examples (interactive):

numbers/images/ani-frac.js?t=proper

## Three Types of Fractions

There are three types of fraction:

## Fractions

A Fraction (such as ^{3}/_{8}) has two numbers:

\frac{Numerator}{Denominator}

The top number is the Numerator, it is the number of **parts you have**.

The bottom number is the Denominator, it is the number of **parts the whole is divided into**.

### Example: ^{3}/_{4} means:

- We have
**3**parts - Each part is a
**quarter**(^{1}/_{4}) of a whole

So we have these types of fractions:

Proper Fractions: | The numerator is less than the denominator |
---|---|

Examples: ^{1}/_{3}, ^{3}/_{4}, ^{2}/_{7} |

Improper Fractions: | The numerator is greater than (or equal to) the denominator |
---|---|

Examples: ^{4}/_{3}, ^{11}/_{4}, ^{7}/_{7} |

Mixed Fractions: | A whole number and proper fraction together |
---|---|

Examples: 1 ^{1}/_{3}, 2 ^{1}/_{4}, 16 ^{2}/_{5} |

## Proper Fractions

So, a proper fraction is just a fraction where the numerator (the top number) is less than the denominator (the bottom number). Here are some examples of proper fractions:

*1*

**2**

**(One-Half)**

*1*

**4**

**(One-Quarter)**

*3*

**8**

**(Three-Eighths)**