NumberStudy Notes

Worked Example 1: Adding with Different Denominators

Part of Fraction OperationsGCSE Mathematics

This study notes covers Worked Example 1: Adding with Different Denominators 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 8 of 14 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 8 of 14

Practice

14 questions

Recall

22 flashcards

Worked Example 1: Adding with Different Denominators

Calculate: 2/3 + 3/4

Solution

Step 1: Find LCM of 3 and 4 = 12

Step 2: Convert fractions

2/3 = 8/12 (multiply by 4)

3/4 = 9/12 (multiply by 3)

Step 3: Add numerators

8/12 + 9/12 = 17/12

Step 4: Convert to mixed number

Answer: 1 5/12

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

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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