Worked Example 4: Complex Problem

Part of Fraction Operations · Section 11 of 15

Study NotesUnit: NumberGCSE

This study notes covers Worked Example 4: Complex Problem 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 11 of 15 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Worked Example 4: Complex Problem

Calculate: (2/3 + 1/4) × 6/5

Solution

Step 1: Brackets first (BIDMAS)

2/3 + 1/4 = 8/12 + 3/12 = 11/12

Step 2: Multiply

11/12 × 6/5 = 66/60

Step 3: Simplify

66/60 = 11/10 = 1 1/10

Answer: 1 1/10

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!

14 questions on Fraction Operations — practise free

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