What Is a Fraction?
What Is a Fraction?
A fraction is a part of a whole number.
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 