NumberStudy Notes

Worked Example 3: Division with Fractions

Part of Fraction Operations — GCSE Mathematics

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 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 10 of 14

Practice

14 questions

Recall

22 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

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 2: Multiplying Mixed Numbers Worked Example 4: Complex Problem 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

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

Want to test your knowledge?

PrepWise has 14 exam-style questions and 22 flashcards for Fraction Operations — with adaptive difficulty and instant feedback.

Join Alpha

Worked Example 2: Multiplying Mixed Numbers

Worked Example 4: Complex Problem