Below we teach you how to tell if two fractions are equivalent, a recurring doubt among many students who want to know the method to find out if two fractions are equivalent to each other even if they are made up of different numbers. Luckily there are several ways to carry out this mathematical verification and discover if one fraction is equivalent to another. If so, you can place an equal symbol between them and solve these types of mathematical puzzles. Don't miss the best methods to know if two fractions are equivalent each other.
How to tell if two fractions are equivalent
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How to tell if two fractions are equivalent
Find out if two fractions are equivalent to each other through the following steps:
If you are wondering if two fractions with different numerators and denominators They are equivalent or not, you can find out through the following mathematical methods.
To do this, you can do a simple check, which is none other than cross multiply your numerators and denominators. Thus, multiply the number of one by the denominator of another and vice versa. If he result of both multiplications is the same, means that both fractions are equivalent. On the other hand, if the result of the two multiplications is different, those two fractions are not equivalent; as simple as that.
In the following example, the operation to be performed is the following:
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2 x 9
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6x3
If you want to know if these two fractions are equivalent, calculate the result:
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2 x 9 = 18
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6 x 3 = 18
As both multiplications demonstrate, the result of both is the same (18), hence These two fractions are equivalent..
Alternative solution
In addition to the previous solution, there is another mathematical method to know if two fractions are equivalent or not. This other method consists of divide the numerator of each fraction by its denominator and compare the result of both fractions. If the result is the same, they are equivalent fractions; In the event that the result is different, both fractions are not equivalent.
We can check this other method with the previous fractions:
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2 : 6 = 0'333333…
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3 : 9 = 0'333333…
Since the result is the same in both operations, we conclude that both fractions are equivalent.
