If a whole or an object is divided into a number of equal parts, then each part represents a fraction.
Why this is True (for beginners):
A whole means one complete thing (one pizza, one bar, one shape).
We cut the whole into equal parts. Equal means every part is the same size.
When there are \(n\) equal parts, one part is written as a fraction:
\(\dfrac{1}{n}\)
Two parts would be:
\(\dfrac{2}{n}\)
In general, \(a\) parts (out of \(n\)) is:
\(\dfrac{a}{n}\)
Example:
Cut 1 pizza into 4 equal slices. There are \(n=4\) equal parts.
One slice is:
\(\dfrac{1}{4}\)
Two slices are:
\(\dfrac{2}{4}\)
Important: The parts must be equal. If the pieces are not the same size, we cannot write a simple fraction like \(\dfrac{a}{n}\) for them.
Conclusion: Each equal part of a whole is a fraction of that whole. So the statement is true.