Worked Example 3: Division with Fractions

Part of Fraction Operations · Section 10 of 15

Study NotesUnit: NumberGCSE

This study notes covers Worked Example 3: Division with Fractions 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 10 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 3: Division with Fractions

Calculate: 3/4 ÷ 2/5

Solution (KFC Method)

Keep: 3/4

Flip: 2/5 becomes 5/2

Change: ÷ becomes ×

3/4 × 5/2 = 15/8

Convert to mixed: 15/8 = 1⅞

Answer: 1⅞

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

14 questions on Fraction Operations — practise free

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