About this worksheet

Converting between mixed numbers and improper fractions is an important Year 4 fractions skill that prepares students for adding, subtracting and comparing fractions later on. This worksheet gives students practice converting fluently in both directions.

The worksheet follows EduLift’s four-part structure, with 29 questions worth 53 marks in total. The Fluency section (16 marks) has students convert between improper fractions and mixed numbers in both directions. The Core section (21 marks) applies this skill to real-world contexts such as recipes, running laps, pizza sharing and timber measurement, including two-part questions that use the converted fraction to solve a further problem. The Reasoning section (9 marks) asks students to explain the conversion process in both directions, correct a common student error, and justify why a fraction with a small-looking numerator can still convert to a mixed number. The Challenge section (7 marks) extends students with reverse-engineering problems and multi-condition fraction puzzles.

Every question and answer on this worksheet has been checked for accuracy, and the worksheet has been reviewed for clear layout and age-appropriate language before publishing.

This worksheet is aligned to the WA SCSA Mathematics curriculum for Year 4, under the Number and Algebra strand (code WA4MNAFR1), and is free to download and use for classroom or home practice.

Common errors we see in tutoring

• Multiplying the whole number by the numerator instead of the denominator
• Forgetting to add the remainder as the new numerator
• Leaving the denominator unchanged incorrectly during conversion
• Assuming a fraction can't convert to a mixed number unless the numerator looks large