Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-3
New NZC (2026)
NZC26-P4-NUM-NSO-P-Y9-14NZC26-P3-NUM-NSO-P-Y7-26NZC26-P3-NUM-NSO-P-Y7-27
Resources
- Alpha textbook: Dividing by fractions, Ex 8.04
- CorbettMaths worksheetQuestions PDF · Answers
Terminology
- reciprocal
- divide
- numerator
- denominator
- simplify
Task goals
- Divide one fraction by another using the keep, change, flip (KCF) rule: keep the first fraction, change $\div$ to $\times$, and flip (take the reciprocal of) the second fraction, e.g. $\dfrac{1}{2}\div\dfrac{1}{4}$.
- Divide a whole number by a fraction, and a fraction by a whole number, by first rewriting the whole number as a fraction over $1$ before applying KCF.
- Simplify the resulting fraction and convert an improper fraction to a mixed number where appropriate.
- Explain why dividing by a fraction smaller than $1$ gives an answer larger than the original number, e.g. why $10\div\dfrac{1}{2}>10$.
- Solve a word problem that requires dividing a fraction by a fraction, such as finding how many equal fractional pieces fit into a given length.
- Find a missing fraction in a division equation such as $\dfrac{2}{3}\div x=\dfrac{8}{9}$, and check the answer is sensible.
Where this fits
What leads into this objective, and where it goes next.
You are here
Dividing fractions
Do
Connecting multiplying or dividing decimals with multiplying or dividing fractions (e.g. 0.3 × 0.15 = 3/10 × 15/100)
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-14
Also under NA5-3:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.