How to Teach Fractions So Students Actually Understand Them (CRA Method + Free Activity Ideas)

Fractions remain one of the most challenging topics for Indian students from Class 4 onwards. Many children can recite rules but freeze when asked to add 2/3 + 1/4 or find equivalent fractions. The reason is simple: fractions are taught as abstract symbols too early.

The Concrete-Representational-Abstract (CRA) approach solves this problem systematically.

Step 1: Concrete Stage – Let students hold fractions Start with physical manipulatives. Using P Learn’s Fraction Concept Kit and Fraction Tiles, students can:

• Build a whole and break it into equal parts
• Compare 1/2 and 1/4 by placing pieces side by side
• Discover that 2/4 is the same as 1/2 by overlapping tiles

Example 1: 1/2 + 1/3

Place the fractions 1/2 and 1/3 on the 1st and 2nd circles respectively. Since the denominators are not the same, find LCM of the denominators, 2 and 3, which is 6.

Now, 3 of the 1/6 parts and 2 of the 1/6 parts are equal to represent the equivalent fraction of 1/2 and 1/3 respectively. So, the sum of 1 / 2 + 1 / 3 = 3/6 + 2/6 = 5/6

When children can see and touch that two 1/4 pieces make one 1/2, the concept becomes real.

Example 2: 1/2 – 1/4

To do the subtraction, 1/2 is to be divided in terms of 1/4.

 The LCM of denominators of 1/2 and 1/4 is 4.

 So, 2 times 1/4 is 1/2, from that one 1/4 is removed.

 Now, 1/4 is remaining.

 Therefore ½ – ¼ = 2/4 – 1/4 

     = 2-1/4 = 1/4

Step 2: Representational Stage – Draw what they built Ask students to draw the arrangements they made with the tiles. This bridge helps them move from physical objects to pictures without jumping straight to numbers.

Step 3: Abstract Stage – Write the symbols Only after the first two stages should students write equations such as ½ + ¼ = ¾ or 2/4 = 1/2.

Simple Classroom Activities You Can Try Tomorrow

1. Equivalent Fractions Race Give pairs of students fraction tiles. Call out a fraction (e.g., 1/3). The first pair to show two different equivalent fractions wins.
2. Fraction Addition Challenge Students use tiles to add unlike fractions, then record the steps on paper.
3. Real-Life Fraction Stories “You have a chocolate bar. You give 1/3 to your friend and 1/4 to your sister. How much is left?” Let them model it first with tiles.

Teachers who follow this sequence consistently report that students stop fearing fractions and start explaining concepts in their own words.

Would you like a ready-to-use lesson plan for teaching addition of unlike fractions using the CRA method? Download our free sample by requesting a demonstration of the Fraction Concept Kit and Fraction Tiles.