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Fractions

IMO Maths · Class 6

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TOPIC 10 OF 17 · MATHEMATICAL REASONING

Fractions 🍕

A fraction can be less than a whole, more than a whole, or a mix of both. Once you can flip between these three forms, adding fractions with different denominators is just one more step.

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Part 1 · Types of Fractions

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Part 2 · Converting

Part 3 · Adding Fractions

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Mock Test

1

Types of Fractions 🔢

Whether a fraction is more or less than one whole decides which family it belongs to.

TypeMeaningExample
Propertop < bottom (less than 1 whole)3/4
Impropertop ≥ bottom (1 whole or more)7/4
Mixed numbera whole number + a proper fraction1 3/4
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Game 1 — Proper or Improper?

2

Converting Between Them 🔄

Every improper fraction is secretly a mixed number in disguise, and the other way round.

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Game 2 — Improper to Mixed

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Game 3 — Mixed to Improper

3

Adding Fractions with Different Denominators ➕

Change both fractions to the same denominator using their LCM, then add just the top numbers.

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Game 4 — Add the Fractions

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Game 5 — Odd One Out

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Fractions Mock Test

12 IMO-style questions on fraction types, conversions and addition. 🍀

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Integers ➕➖

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Decimals 🔟