Algebraic Fractions Maths Lessons & Worksheets (KS3, GCSE, IGCSE & A-Level)

Curriculum Hub → Maths Lessons → Algebra → Algebraic Fractions

This page brings together ready-to-teach algebraic fractions maths lessons for Key Stage 3, GCSE / IGCSE and A-Level. Browse the full collection, including simplifying with single brackets, adding and subtracting with different denominators, equations involving fractions, mixed calculations, and partial fractions at A-Level, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach algebraic fractions lessons
  • Presentations, worksheets and structured practice
  • Key Stage 3, GCSE / IGCSE and A-Level coverage
  • Scheme of work links for curriculum planning

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Save planning time with complete algebraic fractions lesson packs ready to use straight away. Mr Mathematics membership unlocks downloadable PowerPoint presentations, printable worksheets, structured practice and exam-style questions for this topic and the wider lesson library.

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Use the sections below to jump straight to Key Stage 3, GCSE / IGCSE or A-Level algebraic fractions lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to:  Key Stage 3 Algebraic Fractions  |  GCSE / IGCSE Algebraic Fractions  |  A-Level Algebraic Fractions

Algebraic Fractions: Key Stage 3

These Key Stage 3 lessons introduce algebraic fractions through single-bracket forms, building secure cancellation and arithmetic before more demanding GCSE work. Topics include:

  • Simplifying algebraic fractions using single brackets
  • Multiplying and dividing algebraic fractions (single brackets)
  • Adding and subtracting algebraic fractions (single brackets)

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Ages 11 - 13

Addition with Algebraic Fractions (Single Brackets)

Ages 11 - 13

Algebraic Fractions (Single Bracket)

Ages 11 - 13

Multiplying and Dividing with Algebraic Fractions (Single Brackets)

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Give multiple teachers access to the same ready-to-teach resources, support consistent lesson sequencing across classes and reduce duplicated planning across the department. School membership is ideal for teams who want shared access to lessons, worksheets and practice across KS3, GCSE, IGCSE and A-Level.

Algebraic Fractions: GCSE / IGCSE

These GCSE / IGCSE Higher lessons focus on fluent manipulation, factorisation to simplify, and solving equations where algebraic fractions appear. Topics include:

  • Adding and subtracting algebraic fractions, including with different denominators
  • Simplifying algebraic fractions by factorising quadratics
  • Solving linear and quadratic equations involving algebraic fractions
  • Products and quotients with algebraic fractions
  • Quadratic equations with algebraic fractions
  • Mixed calculations involving algebraic fractions

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Ages 14 - 16

Adding and Subtracting Algebraic Fractions

Ages 14 - 16

Algebraic Fractions Products & Quotients

Ages 14 - 16

Equations with Algebraic Fractions

Ages 14 - 16

Mixed Calculations with Algebraic Fractions

Ages 14 - 16

Quadratic Equations with Algebraic Fractions

Ages 14 - 16

Simplifying Algebraic Fractions

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Algebraic Fractions: A-Level

These A-Level Year 2 lessons develop algebraic fractions into formal partial-fraction methods and improper forms, supporting integration and further manipulation in Pure 2. Topics include:

  • Algebraic fractions and mixed numbers, including cross-simplifying products and divisions
  • Partial fractions with two or more distinct linear factors
  • Partial fractions with repeated linear factors
  • Improper algebraic fractions and expressing them in partial-fraction form

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Ages 16 +

Algebraic Fractions and Mixed Numbers

Ages 16 +

Improper Algebraic Fractions

Ages 16 +

Partial Fractions

Ages 16 +

Partial Fractions – Repeated Linear Factors

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