🔢 Mathematics · Fractions

Fractions of a whole (age 10+)

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to fractional or mixed-number answers

Typical age: 10–11 years

“If your child shares 3 pizzas equally among 4 friends, can they work out what fraction each person gets — and explain why 3 ÷ 4 gives the same answer as 3/4?”

0 / 3 mastered

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Needs first

Multiplying fractionsREQUIRED
Understanding fraction as division builds on fraction × whole number (inverse reasoning)
Division with remainders (age 10+)
Division leading to fractions connects to long division skills

Unlocks next

Dividing by Fractions
Understanding fraction as division supports reasoning about quotients
Decimals and fractions (age 10+)REQUIRED
Calculating decimal equivalents requires understanding fraction as division
Dividing fractions (unit fractions)REQUIRED
Understanding fraction as division supports interpreting 1/3 ÷ 4