equivalent fractions

This Math lesson is designed for 6-12 year children to help them understand the concept of equivalent fractions.

Equivalent fractions are fractions that have the same overall value. When a child learns how to find the equivalence of a fraction, they can reduce fractions to the smallest number. For example, 4/8 is the same as 1/2, and we always say 1/2 rather than 4/8.

This video lesson is 4th in the series when introducing fractions concepts to the child using Montessori fraction insets.

What are Equivalent Fractions?

Equivalent fractions can be defined as fractions that may have different numerators and denominators, but are equal to the same value. They have the same value after simplification. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified. A fraction is a part of a whole number. Equivalent fractions represent the same portion of the whole number.  In the example given above, all equivalent fractions are reduced to the same fraction in their simplest form.

In this video, a child will learn how to find the equivalent fraction of the simplest form using Montessori fraction insets. 

Why do Different Fractions have Equal Values Despite Having Different Numbers?

It is because the numerator and denominator are not co-prime numbers, so on division, they have the same value.

Example of Equivalent Fraction

Let’s find the equivalent fraction for ½.

The equivalent fractions for ½ are 1/2 = 2/4 = 4/8 = 8/16 and so on. Here, it is clearly seen that the above fractions have different numerators and denominators. To find whether the fraction is an equivalent fraction, we will divide both the numerator and denominator by their common factor. Therefore, we have

24/ 44= 1/2

In the same way, if we simplify 4/8, again get 1/2.

Material Required for Equivalent Fractions

  • Fraction pies or Montessori fraction insets

How to Find Equivalent Fractions?

In order to evaluate equivalent fractions, both the numerator and the denominator must be multiplied or divided by the same number. Therefore, equivalent fractions, when reduced to their simplified value, will all give the same.

In the video, different fraction insets are used and tried to place over the simplest fraction. Ask the child to test other fraction pieces that could fit perfectly in the space on the right of the one-half.

Invite the child to try making equivalent fractions using the fraction insets as shown in the video and allow the child to explore this practical method for an easy understanding of the equivalent fractions.

Related Fractions Video Resources:

For more math video resources, click here.

Video Created by: Amanda Morse


  • elementary level
  • English
  • Math