Understanding equivalent Fractions

Equivalent fractions represent the same part of a whole


The best method to think around equivalent fountain is that they space fractions that have the same in its entirety value.

You are watching: 4/8 is equivalent to

For example, if we reduced a pie exactly down the middle, right into two equally sized pieces, one item is the exact same as one fifty percent of the pie.

And if another pie (the same size) is reduced into 4 equal pieces, then 2 pieces of the pie represent the same amount that pie the 1/2 did.

So we can say the 1/2 is tantamount (or equal) come 2/4.

Don’t let equivalent fractions confused you!

Take a look at the four circles above.Can you view that the one “1/2”, the 2 “1/4” and also the four “1/8” take up the very same amount of area colored in orange for your circle?Well that means that each area colored in orange is one equivalent fraction or equal amount. Therefore, we deserve to say that 1/2 is same to 2/4, and 1/2 is also equal come 4/8. And yes grasshopper, 2/4 is an equivalent portion for 4/8 too.As you already know, we are nuts around rules. So, let’s look in ~ the Rule to examine to check out if 2 fractions are tantamount or equal. The rule for indistinguishable fractions deserve to be a tiny tough to explain, yet hang in there, we will certainly clear points up in just a bit.

Here’s the Rule


What this Rule states is that 2 fractions are equivalent (equal) just if the product the the numerator (a) the the an initial fraction and the denominator (d) that the other portion is equal to the product of the denominator (b) that the very first fraction and the molecule (c) of the various other fraction.

A product simply method you multiply.

That sounds prefer a mouthful, for this reason let’s try it with numbers…


Test the Rule

Now let’s plug the numbers right into the Rule for equivalent fractions come be certain you have it down “cold”. 3/4 is tantamount (equal) to 9/12 just if the product of the numerator (3) that the an initial fraction and also the denominator (12) the the other fraction is equal to the product the the denominator (4) that the an initial fraction and the numerator (9) that the other fraction. Therefore we recognize that 3/4 is identical to 9/12, due to the fact that 3×12=36 and also 4×9=36. A simple way to watch at how to check for identical fractions is to do what is called “cross-multiply”, which method multiple the numerator of one portion by the denominator of the various other fraction. Then carry out the exact same thing in reverse. Now compare the two answers to see if they are equal. If they are equal, climate the 2 fractions are indistinguishable fractions.

The graphic listed below shows you just how to overcome multiply…


Okay, let’s do one through numbers whereby the fractions space not equivalent…


As you have the right to see by this example, 1/2 is not an equivalent fraction of 2/3.

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If friend remember to usage the cross-multiply method, you need to not have any type of problems verifying identical fractions.

The table listed below lists some typical fractions and also their equivalents. Simply read the table from left-to-right. What it shows you room values multiplied by different variations of fractions equal to “1”. You carry out remember that any kind of number split by itself is equal to “1” right?