Equivalent Fractions and Simplest Form
What Are Equivalent Fractions?
Equivalent fractions are fractions that show the same part of the whole, even though they look different.
Examples of Equivalent Fractions
The following fractions are all equivalent to 1/2 (one half):
How to Find Equivalent Fractions
The bottom number of our fraction (called the denominator) is 4. It tells us to divide the cake into 4 equal parts.
In our example above, equivalent fractions of ½ are found by multiplying both the numerator and denominator by 2.
Simplifying (or Reducing) Fractions
Just as equivalent fractions can be found by multiplying both top and bottom by the same number, equivalent fractions can also be found by dividing top and bottom by the same number.
This is called cancelling. It simplifies (or reduces) fractions.
In our example above, equivalent fractions are found by dividing both the numerator and denominator by 2.
A fraction is in its simplest form if the top and bottom numbers cannot be made any smaller by cancelling (while still being whole numbers).
The simplest form of a fraction is the equivalent fraction with the smallest possible numbers.
The slider below tells you more abour equivalent fractions and simplest form.Open the slider in a new tab