🔢 Number

Fraction-decimal-percentage conversions

Learn fraction-decimal-percentage conversions with a GCSE-style explanation, help guide, worked example, practice question and flashcards.

PercentagesGCSE25 XP completion3 flashcards

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1. Explanation

Key idea

Fraction-decimal-percentage conversions is part of percentages and appears often in KS3–GCSE maths.
Mixed numbers have a whole part and a fraction part; improper fractions have numerator greater than denominator.
Use the worked model, help guide, interactive question and flashcards to practise fraction-decimal-percentage conversions 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: Mixed numbers have a whole part and a fraction part; improper fractions have numerator greater than denominator.
Worked model: Divide numerator by denominator. The quotient is the whole number. The remainder stays over the denominator.
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: 11/4 = 2 3/4

5. Interactive questions

6. Flashcards

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

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FrontRule for Fraction-decimal-percentage conversions

BackMixed numbers have a whole part and a fraction part; improper fractions have numerator greater than denominator.

FrontExample answer: Convert 7/3 to a mixed number.

Back7 ÷ 3 = 2 remainder 1, so 7/3 = 2 1/3.

FrontCommon check for Fraction-decimal-percentage conversions

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.