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)
Teaching approaches
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1 approach
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?
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)
Learning resources
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This concept
Check understanding
- Calculate 4 × 3/8 using repeated addition or the rule n × a/b = (n×a)/b
- Multiply 2 1/3 × 3 and express as a mixed number
- Use a visual model to show why 5 × 1/4 = 5/4
“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?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 9–10