NumberKey Facts

Quick Reference: Fraction Operations

Part of Fraction OperationsGCSE Mathematics

This key facts covers Quick Reference: Fraction Operations 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 3 of 14 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 3 of 14

Practice

14 questions

Recall

22 flashcards

Quick Reference: Fraction Operations

Operation Rule Example Key Point
Add (same denom) Add numerators only 2/7 + 3/7 = 5/7 Keep denominator same
Add (diff denom) Find LCM first 1/3 + 1/4 = 4/12 + 3/12 = 7/12 Convert to same denominator
Multiply Top × top, bottom × bottom 2/3 × 3/4 = 6/12 = 1/2 Simplify after
Divide Keep, Flip, Change (KFC) 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9 Flip second fraction

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.

Practice Questions for Fraction Operations

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

  • A.
  • B. ¾
  • C.
  • D.
1 markfoundation

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

2 marksstandard

Quick Recall Flashcards

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

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