Equivalent fractions

In some fractions, although the numbers are different but they really are equivalent.Equivalent Fractions are those fractions which have same value. Let us understand the concept of What are Equivalent Fractions by using three circles.

In the first circle, there are three equal parts made and one is shaded, in the second circle there are six equal parts and in that 2 parts are shaded out of 6. The third circle which has 12 equal parts and 4 of them are shaded.

Now what do we understand by these shaded circles, that they all represents the same equal proportion. If we look at their fraction value, the very first circle is termed as 1/3, or one third. One out of the three parts is shaded. Second circle represents 2/6,as two parts are shaded out of 6 and that can be reduced to 1/3 by dividing both numerator and denominator by 2.
 
With the third circle 4 parts shaded out of 12 that is 4/12, and that can also be reduced to 1/3 by dividing its numerator and denominator by 4. Thus 1/3, is equivalent to 2/6 is equivalent to 4/12.
 
There is an important relationship here, if we take a look at the three fractions, they are connected. The denominators will change and the numerators will change. We shall take three and multiply it by 2.

Also if we notice the numerator has the same multiplier. Similarly comparing in 2 out of 6 to 4 out of 12, again the numerator is multiplied by 2 and the denominators is multiplied by 2.So 2 times 2 equals to 4 and 6 times 2 equals to 12. Thus if we compare all the fractions, we can conclude that all fractions are equivalent.
Now if we multiply the numerator and denominator by the same value, the resulting fraction will look different but it will be equivalent. So we can answer the question, What is an Equivalent Fraction by saying Equivalent Fraction are the fractions that are equal in size and proportion.  

How to Find Equivalent Fractions– We can find equivalent-fractions by reducing them, we have to reduce the fractions as much as we can and we they comes out to be equal after reducing then they can be termed as equivalent-fractions. For example: - ½ , 2/4, 6/12. 9/18. They all can be reduced to ½ so they all are equivalent fractions.