Worked Example 2: Multiplying Mixed Numbers

Part of Fraction Operations · Section 9 of 15

Study NotesUnit: NumberGCSE

This study notes covers Worked Example 2: Multiplying Mixed Numbers 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 9 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 2: Multiplying Mixed Numbers

Calculate: 1½ × 2⅔

Solution

Step 1: Convert to improper fractions

1½ = 3/2, 2⅔ = 8/3

Step 2: Multiply

3/2 × 8/3 = 24/6

Step 3: Simplify

24/6 = 4

Answer: 4

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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