An equivalent fraction is a fraction with the same overall value. For example, if a pizza is cut in two halves by cutting right through its center, one half is equal to the other half of the pizza. And if another pizza is cut in four equal pieces, then two pieces of that pizza represent the same amount as one half of the other pizza. So we say ½ is equivalent to 2/4. In the same process, we can say 2/4 is equivalent to 4/8.
So basically, a fraction is equivalent when the numerator of the first fraction and the denominator of the second one is equivalent to the product of denominator of the first fraction and numerator of the other fraction.
Here is an example:
¾ = 9/12
3 x 12 = 4 x 9
36 = 36
To solve an equivalent fraction and finding out which fractions are equivalent, a simple procedure is used. You just have to multiply or divide the top and bottom numbers in the fraction with a non-zero whole number. Here is an example:
½ = 2/4 = 4/8
By multiplying the top numbers by 2 and the bottom ones also with 2 from each fraction, the other fraction is calculated.
When dividing an equivalent fraction, you can do the same:
18/36 = 6/12 = ½
Divide each fractions nominator and denominator by 3, the fraction is simplified to the next one.