🔢 Mathematics · Fractions

Multiplying fractions

Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)

Typical age: 9–10 years

“If a recipe uses 2/3 of a cup of butter and your child wants to make it three times over, can they work out how much butter they need in total?”

0 / 3 mastered

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Needs first

Understanding fractions (age 9+)REQUIRED
a/b as sum of 1/b is prerequisite to understanding a/b as multiple of 1/b

Unlocks next

Fractions of a whole (age 10+)REQUIRED
Understanding fraction as division builds on fraction × whole number (inverse reasoning)
Multiplying fractions (age 10+)REQUIRED
Fraction × fraction extends Y5 fraction × whole number
Fractions of a whole (age 9+)REQUIRED
Must multiply fraction by whole number before solving word problems