Understanding tantamount Fractions

Equivalent fractions stand for the same component of a whole

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The best method to think about equivalent fractions is the they space fractions that have actually the same as whole value.

You are watching: What is 9/12 equivalent to in fractions

For example, if we cut a pie precisely down the middle, into two equally sized pieces, one piece is the very same as one half of the pie.

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

So we can say that 1/2 is identical (or equal) to 2/4.

Don’t let tantamount fractions confuse you!

Take a look in ~ the 4 circles above.Can you check out that the one “1/2”, the 2 “1/4” and also the 4 “1/8” take up the very same amount of area colored in orange for their circle?Well that method that each area colored in orange is an equivalent portion or same amount. Therefore, we can say that 1/2 is same to 2/4, and also 1/2 is likewise equal to 4/8. And also yes grasshopper, 2/4 is an equivalent fraction for 4/8 too.As you currently know, we room nuts around rules. So, let’s look at the Rule to examine to see if two fractions are identical or equal. The dominion for tantamount fractions have the right to be a small tough come explain, yet hang in there, we will certainly clear points up in just a bit.

Here’s the Rule

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What this Rule says is that two fractions are identical (equal) only if the product that the numerator (a) that the very first fraction and the denominator (d) the the other fraction is equal to the product the the denominator (b) the the very first fraction and also the molecule (c) that the other fraction.

A product simply method you multiply.

That sounds like a mouthful, for this reason let’s shot it through numbers…

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Test the Rule

Now let’s plug the numbers into the Rule for indistinguishable fractions come be sure you have actually it down “cold”. 3/4 is identical (equal) come 9/12 only if the product that the numerator (3) of the very first fraction and the denominator (12) that the other portion is equal to the product that the denominator (4) that the very first fraction and also the numerator (9) the the various other fraction. For this reason we understand that 3/4 is indistinguishable to 9/12, because 3×12=36 and also 4×9=36. A simple method to watch at exactly how to examine for identical fractions is to carry out what is referred to as “cross-multiply”, which way multiple the numerator of one fraction by the denominator that the various other fraction. Then execute the same thing in reverse. Now compare the two answers to see if they room equal. If they room equal, then the two fractions are equivalent fractions.

The graphic below shows you exactly how to overcome multiply…

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Okay, let’s do one with numbers whereby the fractions room not equivalent…

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As you can see by this example, 1/2 is no an equivalent portion of 2/3.

See more: What Is The Greatest Common Factors Of 12 And 32 ? What Is The Greatest Common Factor For 12 And 32

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

The table listed below lists some usual fractions and their equivalents. Just read the table from left-to-right. What it mirrors you room values multiply by various variations the fractions same to “1”. You carry out remember that any number divided by itself is same to “1” right?