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Story of Maths

Visualising Fractions

5 techniques to bridge the gap between concrete rods and abstract values.

1. Understanding the Whole

Why “White = 1” is a dangerous habit, and how to define the whole before you start.

2. Equivalent Fractions

Using the ‘wall’ method to see relationships instantly.

3. Partitioning a Mixed Number

Visualising how integers and fractions coexist within a single value.

4. Mixed to Improper

How to count “how many quarters fit into 2 wholes?” without memorizing a rule.

5. Improper to Mixed

Regrouping fractional parts back into wholes to simplify the notation.

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