## Dictionary Definition

The Oxford English Dictionary defines a fraction as "a numerical quantity that is not a whole number (e.g. 1/2, 0.5)."## A Real Example of a Fraction

A fraction is usually written as one number over another number.This is a quarter. It is written as 1 over 4. It represents 1 part in 4.

## A Real Example of What a Fraction Means

Imagine we wanted to find ¼ of a cake.## Question

What does ¼ of a cake look like?- The bottom number of our fraction (called the denominator) is 4. It tells us to divide the cake into 4 equal parts.

- The top number of our fraction (called the numerator) is 1. It tells us how many of these equal parts we have.

## How to Visualize Fractions

Thinking of slices of a cake is a useful way of visualizing fractions.- The top number (the numerator) tells you have many slices you have.
- The bottom number (the denominator) tells you how many equal slices the cake is cut into.

## Types of Fractions

There are three different types of fractions.Type of Fraction | Example | Explanation |
---|---|---|

Proper fraction | The numerator is less than the demoninator | |

Improper fraction | The numerator is greater or equal to the demoninator | |

Mixed fraction | A whole number and a fraction |

## What's in a Name?

"Fraction" comes from the Latin "fractus", meaning "broken". A whole is "broken" into parts.## Saying Fractions

Saying fractions is simple. When the numerator is one, here is a list of the names of fractions:It continues, one fifth, one sixth, one seventh, one eighth etc. (

*Note: instead of saying "fourth", you can say "quarter"*). When the numerator is more than one, just say the number in the numerator instead of one, and use the plural (halves instead of half etc.):

For mixed fractions, say the name of the whole number, then "and", followed by the name of the fraction:

## The Size of Fractions

If you increase the numerator (keeping the denominator the same), you increase the fraction. If we visualise a fraction as a cake, a bigger numerator means more slices.If you increase the denominator (keeping the numerator the same), you

*decrease*the fraction - the cake is cut into more pieces, so each slice is smaller.

## Other Types of Fractional Numbers

Fractional numbers can also be represented by decimals, negative exponents, percentages, and ratios. For example:- A fraction:
^{1}/_{2} - A decimal: 0.5
- A negative exponent: 2
^{*minus;1} - A percentage: 50%
- A ratio: 1:2

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