Dividing Integers by Fractions WORKSHEET
Suitable for Year groups: Year 8, Year 9
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Understanding of unit and non-unit fractions and their representation with bar models. Interpret mixed numbers and improper fractions.
Dividing Integers by Fractions WORKSHEET DESCRIPTION
This worksheet develops understanding of dividing integers by fractions through visual models, reasoning, and problem solving.
In Section A, students use bar models to divide whole numbers by unit fractions and recognise the connection between division and multiplication.
Section B extends to non-unit fractions, using diagrams and reasoning to identify when results are whole numbers.
Section C explores mixed-number quotients, challenging learners to interpret remainders within bar models and to correct common misconceptions such as misreading fractional remainders.
Finally, Section D promotes deeper reasoning with prediction, error-spotting, and equation-forming problems that require generalisation and pattern recognition.
In Section A, students use bar models to divide whole numbers by unit fractions and recognise the connection between division and multiplication.
Section B extends to non-unit fractions, using diagrams and reasoning to identify when results are whole numbers.
Section C explores mixed-number quotients, challenging learners to interpret remainders within bar models and to correct common misconceptions such as misreading fractional remainders.
Finally, Section D promotes deeper reasoning with prediction, error-spotting, and equation-forming problems that require generalisation and pattern recognition.
