Equivalent fractions represent the same part of a whole
The best way to think about equivalent fractions is that they are fractions that have the same overall value.
For example, if we cut a pie exactly down the middle, into two equally sized pieces, one piece is the same as one half of the pie.
And if another pie (the same size) is cut into 4 equal pieces, then two pieces of that pie represent the same amount of pie that 1/2 did.
So we can say that 1/2 is equivalent (or equal) to 2/4.
Don’t let equivalent fractions confuse you!
Take a look at the four circles above.Can you see that the one “1/2”, the two “1/4” and the four “1/8” take up the same amount of area colored in orange
for their circle?Well that means that each area colored in orange
is an equivalent fraction or equal amount. Therefore, we can say that 1/2 is equal to 2/4, and 1/2 is also equal to 4/8. And yes grasshopper, 2/4 is an equivalent fraction for 4/8 too.As you already know, we are nuts about rules. So, let’s look at the Rule
to check to see if two fractions are equivalent or equal. The rule for equivalent fractions can be a little tough to explain, but hang in there, we will clear things up in just a bit.