# how can i understand the Equivalent Fractions

What is an equivalent fraction?

Equivalent Fractions are fractions that have the same value, despite they look different at times.

How does one find an equivalent fraction?

In order to find or determine an equivalent fraction, you need to multiply both the numerator and denominator by the same non-zero whole number.

VERY IMPORTANT: Please note that you have to use the same non-zero whole number for the numerator and denominator, otherwise you will not obtain an equivalent fraction.

Let's look at am example:

Question: Are the following fractions equivalent?

Answer: The question is asking if the above fractions are equal in value. We can determine this by multiplying a non-zero whole number to the numerator and denominator of the first fraction `2/4`

Let's multiply '2' to the numerator and denominator:

`(2/4) * (2/2) = 4/8`

From above it can be seen that `2/4 = 4/8`

Now let's multiply '4' to the numerator and denominator:

`(2/4) * (4/4) = 8/16`

From  above it can be seen `2/4 = 8/16`

SUMMARY:

• Equivalent Fractions are fractions that have the same value,
• In order to find or determine an equivalent fraction, you need to multiply both the numerator and denominator by the same non-zero whole number.

Approved by eNotes Editorial Team