🔢 Mathematics · Fractions
Dividing by Fractions
Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend
Typical age: 10–11 years
“If you have 4 metres of ribbon and each bow needs 1/5 of a metre, can your child work out how many bows you can make — and explain why the answer is bigger than 4?”
0 / 3 mastered
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Needs first
- Fractions of a whole (age 10+)
Understanding fraction as division supports reasoning about quotients
- Multiplying fractions (age 10+)REQUIRED
Whole ÷ unit-fraction uses inverse relationship with fraction multiplication
- Dividing fractions (unit fractions)
Understanding unit-fraction ÷ whole helps contrast with whole ÷ unit-fraction