Divide fractions
- Keep the first fraction.
- Change divide to multiply.
- Flip the second fraction and simplify.
Answer: 2/3 ÷ 4/5 = 2/3 × 5/4 = 5/6
🔢 Number
Dividing fractions
Learn dividing fractions with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Dividing fractions is part of fractions and appears often in KS3–GCSE maths.
- To divide by a fraction, multiply by its reciprocal.
- Use the worked model, help guide, interactive question and flashcards to practise dividing fractions until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Dividing fractions learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Dividing fractions
- Learn the rule: To divide by a fraction, multiply by its reciprocal.
- Worked model: Keep the first fraction. Change divide to multiply. Flip the second fraction and simplify.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Calculate 3/4 ÷ 1/2.
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Dividing fractions
BackTo divide by a fraction, multiply by its reciprocal.
FrontExample answer: Calculate 3/4 ÷ 1/2.
Back3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.
FrontCommon check for Dividing fractions
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.