Dividing Fractions by Integers WORKSHEET
Suitable for Year groups: Year 7, Year 8
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Interpreting division as sharing or grouping. Multiplying fractions. Simplifying fractions and finding equivalent fractions.
Dividing Fractions by Integers WORKSHEET DESCRIPTION
Introduce students to dividing fractions by whole numbers through a carefully sequenced mix of visual, procedural, and reasoning tasks.
Section A uses bar models to show what dividing a fraction means, helping learners grasp the concept before moving to symbolic calculations. Section B builds fluency by matching division expressions to their equivalent multiplication-by-reciprocal forms and practising straightforward problems. Section C deepens understanding with error-spotting and gap-fill questions that highlight common misconceptions and reinforce correct methods.
The progression from visual to abstract strengthens conceptual understanding while supporting confidence and accuracy.
Section A uses bar models to show what dividing a fraction means, helping learners grasp the concept before moving to symbolic calculations. Section B builds fluency by matching division expressions to their equivalent multiplication-by-reciprocal forms and practising straightforward problems. Section C deepens understanding with error-spotting and gap-fill questions that highlight common misconceptions and reinforce correct methods.
The progression from visual to abstract strengthens conceptual understanding while supporting confidence and accuracy.
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Frequently Asked Questions
This four operations with fractions worksheet is designed for students in Year 7 and Year 8 and aligns with the UK National Curriculum.