Worked Example 2: Multiplying Mixed Numbers

Part of Fraction Operations Ā· Section 9 of 15

Study NotesUnit: NumberGCSE

Calculate: 1Ā½ Ɨ 2ā…”

Solution

Step 1: Convert to improper fractions

1Ā½ = 3/2, 2ā…” = 8/3

Step 2: Multiply

3/2 Ɨ 8/3 = 24/6

Step 3: Simplify

24/6 = 4

Answer: 4

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.

Practice questions for Fraction Operations

Which of these fractions is the largest? ā…” Ā¾ ā…— ā…

  • A. ā…”
  • B. Ā¾
  • C. ā…—
  • D. ā…
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 Ɨ 3/4 = 3/8 Half of anything: divide by 2 Or multiply by 1/2
Multiplying fractions
Top Ɨ Top, Bottom Ɨ Bottom 2/3 Ɨ 3/4 = 6/12 = 1/2 No need for common denominators!

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Worked Example 3: Division with Fractions

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