## Equivalent Fractions

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. Some examples of equivalent fractions are ½, 2/4, 3/6, and 4/8 are equivalent fractions because they are equal to ½.

A fraction is a part of a whole. Equivalent fractions represent the same portion of the whole.

But finding and understanding equivalent fractions is a tricky concept for children. Let’s understand how to go about it:

Identifying equivalent fractions:

Let us identify if  2/6 and 4/12 are equivalent or not:

1. Visualize:

When we overlap 2/6 and 4/12, we see that they cover the same position of the whole. Thus they are equivalent.

1. Using number line:

If the fractions are equivalent, they indicate the same point on the number line when overlapped.

1. Simplifying the fractions: Another easiest way to identify the equivalent fractions is to simplify the given fractions to their lowest form. If the answers are the same, then they are equivalent.

Eg: 2/6 = ⅓ , 4/12 = ⅓

1. Cross multiplication method:

We cross multiply the numerator of fraction 1 with a denominator of fraction 2 and the denominator of fraction 1 with the numerator of fraction 2. If the products are equal then the fractions are equivalent.

2×12= 24

4×6 = 24

Generating equivalent fractions:

• We can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.

Real-life applications:

• To identify if you got your fair share or not:

Different ways to teach:

Teaching through stories:

Trip To Pizza Planet

Teaching through activities:

• Geogebra: GeoGebra for Teaching and Learning Math · Free digital tools for class activities, graphing, geometry, collaborative whiteboard and more. It has an amazing collection of math activities/simulations, especially fractions that help students visualize fractions in a unique way.

Teaching through games:

• Memory game:

Materials:

• 16 cards
• Write 3 equivalent fractions of ½
• Write 3 equivalent fractions of ⅓
• Write 3 equivalent fractions of ¼
• Write 3 equivalent fractions of ⅕
• Place the cards on the table.
• Each player picks a card and then picks another card.
• If the pair is an equivalent fraction of the first card, they can remove that card from the table.
• If not, then keep the card in the same place.