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Higher Level: Algebraic Fractions Preview

Part of Fraction Operations — GCSE Mathematics

This deep dive covers Higher Level: Algebraic Fractions Preview within Fraction Operations for GCSE Mathematics. Revise Fraction Operations in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 12 of 14 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 12 of 14

Practice

14 questions

Recall

22 flashcards

Higher Level: Algebraic Fractions Preview

The same rules apply with algebra:

  • Adding: x/3 + x/4 = 4x/12 + 3x/12 = 7x/12
  • Multiplying: (x/2) × (3/y) = 3x/2y
  • Dividing: (a/b) ÷ (c/d) = (a/b) × (d/c) = ad/bc

Key: Treat letters like numbers, follow same operations!

Keep building this topic

Read this section alongside the surrounding pages in Fraction Operations. That gives you the full topic sequence instead of a single isolated revision point.

Worked Example 4: Complex ProblemCommon Mistakes to AvoidCombining and SplittingFraction Operations Overview

Practice Questions for Fraction Operations

Which of these fractions is the largest? ⅔ ¾ ⅗ ⅝

  • A. ⅔
  • B. ¾
  • C. ⅗
  • D. ⅝
1 markfoundation

Explain why you need a common denominator when adding fractions, but not when multiplying fractions.

2 marksstandard

Quick Recall Flashcards

Multiplying fractions
Top × Top, Bottom × Bottom 2/3 × 3/4 = 6/12 = 1/2 No need for common denominators!
Quick: 1/2 of 3/4
1/2 × 3/4 = 3/8 Half of anything: divide by 2 Or multiply by 1/2

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Worked Example 4: Complex Problem

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Common Mistakes to Avoid