NumberStudy Notes

Worked Example 2: Multiplying Mixed Numbers

Part of Fraction Operations — GCSE Mathematics

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 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 9 of 14

Practice

14 questions

Recall

22 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

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.

Worked Example 1: Adding with Different Denominators Worked Example 3: Division with Fractions Combining and Splitting Fraction Operations Overview

Practice Questions for Fraction Operations

Which of these fractions is the largest? ⅔ ¾ ⅗ ⅝

A. ⅔
B. ¾
C. ⅗
D. ⅝

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!

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Worked Example 1: Adding with Different Denominators

Worked Example 3: Division with Fractions