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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA4-3
New NZC (2026)
NZC26-P4-ALG-ER-K-Y9-02NZC26-P4-NUM-NSO-P-Y9-03NZC26-P4-NUM-NSO-P-Y9-01
Resources
- Alpha textbook: Improper Fractions to Mixed Numbers, Ex 8.05, pg 125
- Alpha textbook: Mixed Number to Improper Fractions, Ex 8.06, pg 126
- CorbettMaths worksheetQuestions PDF · Answers
Terminology
- Improper fraction
- Mixed number
- Remainder
Task goals
- Write fractional results with magnitude greater than 1 as improper fractions in algebraic calculations and equations, with a positive denominator.
- Convert an improper fraction to a mixed number by dividing the numerator by the denominator and writing the remainder as the new numerator.
- Convert a mixed number to an improper fraction by multiplying the whole number by the denominator and adding the original numerator.
- Explain each step of an improper-to-mixed or mixed-to-improper conversion in words, not just state the answer.
- Apply the conversion to a real-world measurement or recipe context where an improper fraction and a mixed number describe the same quantity.
Where this fits
What leads into this objective, and where it goes next.
Before
Multiplying Expressions (no powers)
Standard Form (Scientific Notation)
Simplifying Expressions with GEMA / BEDMAS
You are here
Converting between improper fractions and mixed numbers
Know
When operating on or writing equations with fractions, fractions of magnitude greater than 1 are usually written as improper fractions.
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-02
Do
Finding equivalent fractions, simplifying fractions, and converting between improper fractions and mixed numbers
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-03
Also under NA4-3:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.