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Equivalent Fractions

What are equivalent fractions?

Equivalent fractions are fractions that are equal in size, even though they have different numerators and denominators.

Equivalent fractions diagram

Fractions equivalent to 1/2:

If the denominator is exactly double the numerator, then the fraction is equivalent to one half.

Fractions equivalent to 1/2

Fractions equivalent to 1/3:

If the denominator is exactly three times the numerator, then the fraction is equivalent to one third.

Fractions equivalent to 1/3

Fractions equivalent to 1/4:

If the denominator is exactly four times the numerator, then the fraction is equivalent to one quarter.

Fractions equivalent to 1/4

How to find equivalent fractions

To find an equivalent fraction of a given fraction, you need to multiply or divide the numerator and denominator by the same number.

Finding equivalent fractions diagram

How to find missing numbers in equivalent fractions

Missing numbers in equivalent fractions
Missing numbers in equivalent fractions
Missing numbers in equivalent fractions

1. In this missing number question, we have a missing numerator.

2. Look at the denominators. What would you multiply the first denominator by to make it equal the second denominator?

In this case, 8 x 2 = 16.

3. To find the missing number, we now need to multiply the numerator of the first number by 2.

In this case, 2 x 2 = 4.

The missing numerator is 4.


Missing numbers in equivalent fractions
Missing numbers in equivalent fractions
Missing numbers in equivalent fractions

1. In this missing number question, we have a missing denominator.

2. Look at the numerators. What would you divide the first numerator by to make it equal the second numerator?

In this case, 12 ÷ 4 = 3.