# Fractions as numbers

## In a nutshell

A fraction is a part of a whole number and a way to split a number up into equal parts. Fractions can be read in different ways:

- As a division of two numbers:
* numerator divided by denominator. For example*, $3 \div 4 = \dfrac{3}{4}$

- As a part of a unit or whole number:
*For example, *$1$* brownie from a tray of *$6$* brownies* $-\dfrac{1}{6}$

### Notation

##### Example 1

*A pizza is cut into *$6$* equal pieces.*

*A piece: *$\frac{1}{6}$

* *

*Two pieces: *$\frac{2}{6}$

* *

*All six pieces: *$\underline{\dfrac{6}{6}}$

##### Example 2

*A set of counters has $$25$$ pieces.*

*One counter: $\dfrac{1}{25}$*

*Three rows of counters: *$\dfrac{15}{25}$

## Fractions as words

You can write fractions both in number and word form. Below are the word forms of fractions from one whole to one tenth.

Whole | $1$ |

Half | $\dfrac{1}{2}$ |

Third | $\dfrac{1}{3}$ |

Quarter | $\dfrac{1}{4}$ |

Fifth | $\dfrac{1}{5}$ |

Sixth | $\dfrac{1}{6}$ |

Seventh | $\dfrac{1}{7}$ |

Eighth | $\dfrac{1}{8}$ |

Ninth | $\dfrac{1}{9}$ |

Tenth | $\dfrac{1}{10}$ |

## Writing fractions

#### Procedure

- Determine how many equal parts there are in total. Write this number as the
*denominator*.

- Count the number of equal parts that are highlighted. Write this number as the
*numerator*.

##### Example 3

*Tina takes three bottles of water from the set of bottles below.*

*Number of parts there are in total: *

*$5$*

*Number of parts Tina took:*

*$3$*

*Tina's fraction of the total:*

*$\underline{\dfrac{3}{5}}$*