Equivalent Fractions
Equivalent Fractions have the same value, even though they may look different.
These fractions are really the same:
Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value.
The rule to remember is:
What you do to the top of the fraction
you must also do to the bottom of the fraction !
So, here is why those fractions are really the same:
Here are some more equivalent fractions, this time by dividing:

÷ 3 

÷ 6 


18 
= 
6 
= 
1 



36 
12 
2 


÷ 3 

÷ 6 

If we keep dividing until we can't go any further, then we have simplified the fraction (made it as simple as possible).
Important:
 The top and bottom of the fraction must always be a whole number.
 So, the number you pick to divide by must always divide evenly (ie no remainders) for both the top and bottom numbers.
 You only multiply or divide, never add or subtract, to get an equivalent fraction.
A Chart of Fractions
We also have a chart of fractions with each row giving you examples of equivalent fractions.
