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
Teaching approaches
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1 approach
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?
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
Learning resources
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This concept
Check understanding
- Explain that 3/4 means 3 ÷ 4 and verify by showing 3/4 × 4 = 3
- Solve: '9 people share a 50-pound sack equally — how many pounds each?' and express the answer as 5 5/9
- Use a visual model to show that sharing 3 wholes among 4 people gives each person 3/4
“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?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 10–11