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AlgebraKey Facts

Key Rules

Part of Algebraic Fractions — GCSE Mathematics

This key facts covers Key Rules within Algebraic Fractions for GCSE Mathematics. Revise Algebraic Fractions in Algebra for GCSE Mathematics with 13 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 2 of 4 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 4

Practice

13 questions

Recall

12 flashcards

Key Rules

Operation Method
Simplifying Factorise top and bottom, cancel common factors
Multiplying Multiply tops, multiply bottoms, then simplify
Dividing Flip the second fraction, then multiply
Adding/Subtracting Find common denominator, combine numerators

Keep building this topic

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

Fractions with LettersWorked Example 1: SimplifyingWorked Example 2: Adding

Practice Questions for Algebraic Fractions

Simplify 6x²/3x

  • A. 2x
  • B. 2x²
  • C. 3x
  • D. 6x
1 markfoundation

Explain why you need a common denominator when adding algebraic fractions.

2 marksstandard

Quick Recall Flashcards

Simplifying Algebraic Fractions
Factorise top and bottom FIRST, then cancel common factors
Graphical Inequalities
Solid line = ≤ or ≥. Dashed line = < or >. Shade region

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Fractions with Letters

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Worked Example 1: Simplifying