🔢 Number

Simplifying fractions

Learn simplifying fractions with a GCSE-style explanation, help guide, worked example, practice question and flashcards.

FractionsGCSE25 XP completion3 flashcards

Global XP

Level 1

0 / 100 XP

1. Explanation

Key idea

Simplifying fractions is part of fractions and appears often in KS3–GCSE maths.
Simplify by dividing numerator and denominator by the same common factor until no common factor remains.
Use the worked model, help guide, interactive question and flashcards to practise simplifying fractions until the steps feel automatic.

Shopping, sport, travel, science, design and everyday decisions all use this skill.

2. Visual

Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.

3. Help guide

Learn the rule: Simplify by dividing numerator and denominator by the same common factor until no common factor remains.
Worked model: Find a common factor of 8 and 12: 4. Divide numerator and denominator by 4. 8/12 = 2/3.
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

Answer: 2/3

5. Interactive questions

6. Flashcards

Flip each card, then choose whether you know it or need more practice.

0 mastered

FrontRule for Simplifying fractions

BackSimplify by dividing numerator and denominator by the same common factor until no common factor remains.

FrontExample answer: Simplify 12/18.

BackThe highest common factor of 12 and 18 is 6. 12 ÷ 6 = 2 and 18 ÷ 6 = 3, so 12/18 = 2/3.

FrontCommon check for Simplifying fractions

BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.

7. Finish

When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.