Fractions
What is a Fraction?
Hugo has 1 Unit, which is one complete cake: 
. He cuts the Unit into 2 equal parts to share. Hugo takes 1 of the parts: 
. How can we describe his piece?
. He cuts the Unit into 2 equal parts to share. Hugo takes 1 of the parts: . How can we describe his piece?
When a unit is divided into 2 equal parts, each part is called one half. We write Hugo’s piece as \(\displaystyle \frac{1}{2}\).
Definition Fraction
A fraction has two numbers separated by a fraction bar: the numerator (on top) and the denominator (on the bottom). 
On the Number Line
Fractions do not only represent parts of a shape; they can also represent points on a number line. The space between 0 and 1 is a unit.
If we divide the unit into 2 equal parts, the point in the middle represents the fraction \(\dfrac{1}{2}\).
If we divide the unit into 2 equal parts, the point in the middle represents the fraction \(\dfrac{1}{2}\).
Method Representing a Fraction on the Number Line
To represent the fraction \(\dfrac{\textcolor{colordef}{2}}{\textcolor{colorprop}{3}}\) on a number line:
- Draw a straight line and mark the points \(0\) and \(1\).
- Divide the segment from \(0\) to \(1\) into \(\textcolor{colorprop}{3}\) equal parts (the denominator).
- Count \(\textcolor{colordef}{2}\) parts from \(0\) (the numerator) and mark the point at \(\dfrac{\textcolor{colordef}{2}}{\textcolor{colorprop}{3}}\).
