Equivalent Fractions

Our Equivalent Fractions worksheets are designed to help math students learn about equivalent fractions. The concept of equivalent fractions is a very useful one both in math and in everyday life. Many times, you will find yourself using equivalent fractions without even knowing it.

How to find equivalent fractions?

To illustrate how to find equivalent fractions, let's examine the fractions:

2 3

4 6

The fractions above are equivalent fractions. Let's illustrate this equivalent fraction example another way.

• If John has $60. He decides to divide three ways and gives 2/3 of his $60 to Mary. Mary will get 2/3 x $60 = $40.
• But if John decides to split his $60 into 6 portions and gives Mary 4 portions out of six. May will get 4/6 x $60 which is still $40.
• Therefore, in both examples, Mary gets $40 from John. Since both 2/3 of John's money and 4/6 of the same amount gives Mary exactly $40, 2/3 and 4/6 are equivalent fractions.

So, in order to find equivalent fractions, you need to make either the numerators or denominators of the two fractions the same.

In the above example, if you are trying to solve the equivalent fractions problem:

2 3

? 6

Then, you will want to find a number such that when multiplied by three equals 6. In this case 3 x 2 = 6. So, the factor you are looking for is 2. The next step is to multiply the numerator by the same factor. The numerator is 2 and 2 x 2 = 4. That means your equivalent fraction is 4/6 as illustrated above.