NumberExam Tips

Common Mistakes to Avoid

Part of Fraction OperationsGCSE Mathematics

This exam tips covers Common Mistakes to Avoid 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 13 of 14 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 13 of 14

Practice

14 questions

Recall

22 flashcards

Common Mistakes to Avoid

❌ Wrong: 1/2 + 1/3 = 2/5 ✅ Right: 1/2 + 1/3 = 3/6 + 2/6 = 5/6

Can't add numerators and denominators separately

❌ Wrong: 2/3 × 3/4 = 6/7 ✅ Right: 2/3 × 3/4 = 6/12 = 1/2

Multiply tops together, bottoms together

❌ Wrong: 3/4 ÷ 1/2 = 3/8 ✅ Right: 3/4 ÷ 1/2 = 3/4 × 2/1 = 3/2

Must flip second fraction when dividing

❌ Wrong: Not simplifying final answer ✅ Right: Always give in simplest form

6/8 should be 3/4 - marks lost!

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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