What this covers
Mixed Numbers and Improper Fractions is taught in Year 5 (age 10 to 11) as a main teaching focus. It sits in the Fractions strand.
Worked example
Convert 175 into a mixed number.
- Divide 17 by 5: 175 = 3 with a remainder of 2.
- The whole number part is 3.
- Write the remainder over the original denominator to get 25.
Answer: 3 25
Difficulty scale
The sheet generator offers five difficulty settings for this topic.
- Converting improper fractions with small denominators (2, 3, 4) into mixed numbers
- Converting mixed numbers with whole parts up to 5 into improper fractions
- Conversions both ways with denominators up to 10 and whole numbers up to 10
- Conversions requiring simplifying the fractional part afterwards
- Multi-step problems involving comparing mixed numbers and improper fractions
Common mistakes
- Multiplying the denominator by the whole number but forgetting to add the numerator
- Adding the whole number to the numerator directly without multiplying by the denominator
Curriculum links
Indicative matches to Australian Curriculum v9. Check wording and codes against the official document.
- AC9M5N03 Compare and order fractions with related denominators and convert between mixed numbers and improper fractions.