Are you wondering how to know if two fractions are equivalent even if they are made up of different numbers? There are various methods to perform this mathematical check and see if one fraction equals the other. In case they are, we can place an equality sign between them, since their value will be the same. In this way, at OneHowTo we want to explain two ways to know if two fractions are equivalent.
Steps to follow:
1
If we have two fractions with different numerators and numerators, at first glance it can be complicated know if they are equivalent. That is why we will have to verify it mathematically with one of the methods that we explain to you.
2
One of the most common ways to check if two fractions are equivalent It consists of multiplying crosswise, that is, the numerator of one fraction by the denominator of the other and vice versa to check if the result is the same. In case the resulting number is the same, the fractions will be equivalent.
We must perform these operations and compare the result:
– axd
– bxc
3
Let’s see an example, to know if 2/6 and 3/9 are equivalent, we will have to multiply:
– 2 x 9 = 18
– 6 x 3 = 18
We can see that the result of both operations is the same, so the fractions are equivalent.
4
There is another way to test that two fractions are equivalent, consisting of dividing the numerator of each fraction by its denominator and comparing again the result of both fractions. If it is the same, they will be equivalent; if they are not the same, they will not be.
5
Let’s check with the same example:
– 2: 6 = 0’33333333 …
– 3: 9 = 0’33333333 …
We see that the result is the same, so we can again conclude that these two fractions are equivalent.
6
However, if we try to check with this other example:
– 5 x 8 = 40 and 4 x 7 = 28 the results of cross multiplication do not match
– 5: 4 = 1.25 and 7: 8 = 0.875 the divisions between numerators and denominators do not coincide either
We can conclude that these two fractions are not equivalent.
If you want to read more articles similar to How to know if two fractions are equivalent, we recommend that you enter our Training category.