Converting between percentages, fractions, and decimals is a fundamental maths...
Maths239 views·Updated 21 Jul 2026·2 pagesUnderstanding Conversions: Percentages, Fractions, and Decimals
N
Noor Ibrahim@nooribrahim_eeji
1
of 2
Converting Percentages to Fractions
Every time you see a percentage, remember it literally means "out of 100" - that's your secret to instant conversion! The word "percent" breaks down to "per cent" which means "for every hundred".
To convert any percentage to a fraction, simply put the number over 100. So 82% becomes 82/100 and 3% becomes 3/100. It's that straightforward!
The beauty of this method is that it works for every percentage you'll ever encounter. Whether it's 15%, 67%, or even 99%, you just pop that number over 100 and you've got your fraction.
Quick Tip: Don't forget you can often simplify these fractions further by finding common factors!
2
of 2
Converting Fractions to Decimals
Converting fractions to decimals is simply about division - divide the top number (numerator) by the bottom number (denominator). When you see 42/100, you're calculating 42 ÷ 100 = 0.42.
Here's a brilliant shortcut for fractions with 100 as the denominator: since 100 has two zeros, you move the decimal point two places to the left. So 42 becomes 0.42 instantly!
This pattern works perfectly because dividing by 100 is the same as moving two decimal places. It's like a mathematical magic trick that saves you time in exams.
Remember: The number of zeros in the denominator tells you how many places to move the decimal point to the left.
We thought you’d never ask...
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar content
Most popular content: Fraction-decimal-percent Conversion
4MathsPercentage Conversion Techniques
Master the art of converting percentages to decimals and fractions with this concise guide. Learn key conversion methods, including examples and important fraction/decimal/percentage relationships. Ideal for students looking to enhance their math skills in percentage calculations.
116663
MathsMastering Fraction Operations
Explore essential techniques for adding, subtracting, multiplying, and dividing fractions. This summary covers key concepts such as FDP conversion and provides step-by-step methods for each operation, making it ideal for students seeking to enhance their understanding of fractions.
112831
MathsComprehensive Maths Concepts
Explore essential maths concepts including indices, roots, proportions, transformations, and equations. This study resource covers key topics such as volume calculations, angle relationships, and algebraic manipulation, providing clear examples and explanations to enhance your understanding. Ideal for students preparing for exams or seeking to strengthen their maths skills.
111,41028
MathsDecimals, Rounding & Value
Explore key concepts in recurring decimals, rounding to significant figures, estimation techniques, and value comparison in purchasing decisions. This summary provides essential insights for GCSE Maths, helping students master these critical topics effectively.
111481
Most popular content in Maths
9MathsComprehensive Maths Concepts
Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.
1180,1386,322
M
MathsMedium Level alerbra
Master challenging maths concepts with this medium level flashcard set designed for grade 7/8 students. Strengthen your problem-solving skills and boost your confidence in maths!
78913
MathsGCSE Maths (Higher) // Revision Guide
The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.
102,62462
M
MathsMastering Maths: Essential Concepts for Grade 10
Boost your math skills with this comprehensive flashcard set covering key concepts for grade 10. Perfect for exam preparation and building a strong foundation in mathematics.
115641
M
MathsMastering Medium-Level Maths: Essential Flashcards for Grade 11 Students
Boost your Maths skills with this comprehensive set of flashcards designed specifically for Grade 11 students. Covering medium-level topics, these cards will help you ace your exams and build a solid foundation for advanced Maths.
119743
M
MathsMaths Made Easy: Essential Concepts for Grade 7
Master key mathematical concepts with this comprehensive flashcard set designed specifically for 13-year-old students. Strengthen your understanding and ace your exams!
77922
P
MathsPercentage,fractions and decimals
how well do you know percentages,fractions and decimals
73213
M
Mathsmaths SOHCAHTOA
Trigonometric ratios SOHCAHTOA for calculating angles and sides in right-angled triangles.
112240
MathsGCSE Maths Revision Guide
Comprehensive solutions and explanations for past GCSE Maths Paper 1 questions. Topics include solving quadratics, area calculations, ratios, probability, and more. Ideal for students preparing for their exams, with clear step-by-step methods and key concepts highlighted.
111,42317
Most popular content
9
SociologySociology of Families: Comprehensive Revision
Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.
1273,7982,306
SociologySociology of Education Overview
Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.
12102,9863,041
CriminologyCriminology: Crime & Punishment Overview
Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.
1254,8981,061
SociologyComprehensive Crime & Deviance Overview
Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.
1251,6721,401
C
BiologyCell Biology and Cell structure
cell structures
113,2990
CriminologyWJEC Unit 4 Criminology
Criminology unit 4 detailed revision note
127,177125
SociologySociological Theories Overview
Comprehensive revision of key sociological theories including Functionalism, Marxism, Feminism, and Interpretivism. Explore concepts like value freedom, identity formation, and the critique of social control. Ideal for AQA A-Level Sociology students preparing for exams. This summary covers essential theories and their implications in sociology, providing a clear understanding of each perspective.
1231,494846
T
BiologyThe functions of subcellular structures - B1 Biology
Flashcards on the different functions of subcellular structures: cell membrane, nucleus, mitochondria, ribosomes, cytoplasm, permant vacuole, chloroplasts and cell wall.
112,8215
1
Biology1.cells Gcse biology question cards
combined science higher biology
112,3734
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user
Maths239 views·Updated 21 Jul 2026·2 pagesUnderstanding Conversions: Percentages, Fractions, and Decimals
N
Noor Ibrahim@nooribrahim_eeji
Converting between percentages, fractions, and decimals is a fundamental maths skill you'll use constantly in your GCSE studies and beyond. Once you understand the simple patterns, these conversions become quick and automatic.
1
of 2
Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Converting Percentages to Fractions
Every time you see a percentage, remember it literally means "out of 100" - that's your secret to instant conversion! The word "percent" breaks down to "per cent" which means "for every hundred".
To convert any percentage to a fraction, simply put the number over 100. So 82% becomes 82/100 and 3% becomes 3/100. It's that straightforward!
The beauty of this method is that it works for every percentage you'll ever encounter. Whether it's 15%, 67%, or even 99%, you just pop that number over 100 and you've got your fraction.
Quick Tip: Don't forget you can often simplify these fractions further by finding common factors!
2
of 2Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Converting Fractions to Decimals
Converting fractions to decimals is simply about division - divide the top number (numerator) by the bottom number (denominator). When you see 42/100, you're calculating 42 ÷ 100 = 0.42.
Here's a brilliant shortcut for fractions with 100 as the denominator: since 100 has two zeros, you move the decimal point two places to the left. So 42 becomes 0.42 instantly!
This pattern works perfectly because dividing by 100 is the same as moving two decimal places. It's like a mathematical magic trick that saves you time in exams.
Remember: The number of zeros in the denominator tells you how many places to move the decimal point to the left.
We thought you’d never ask...
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar content
Most popular content: Fraction-decimal-percent Conversion
4MathsPercentage Conversion Techniques
Master the art of converting percentages to decimals and fractions with this concise guide. Learn key conversion methods, including examples and important fraction/decimal/percentage relationships. Ideal for students looking to enhance their math skills in percentage calculations.
116663
MathsMastering Fraction Operations
Explore essential techniques for adding, subtracting, multiplying, and dividing fractions. This summary covers key concepts such as FDP conversion and provides step-by-step methods for each operation, making it ideal for students seeking to enhance their understanding of fractions.
112831
MathsComprehensive Maths Concepts
Explore essential maths concepts including indices, roots, proportions, transformations, and equations. This study resource covers key topics such as volume calculations, angle relationships, and algebraic manipulation, providing clear examples and explanations to enhance your understanding. Ideal for students preparing for exams or seeking to strengthen their maths skills.
111,41028
MathsDecimals, Rounding & Value
Explore key concepts in recurring decimals, rounding to significant figures, estimation techniques, and value comparison in purchasing decisions. This summary provides essential insights for GCSE Maths, helping students master these critical topics effectively.
111481
Most popular content in Maths
9MathsComprehensive Maths Concepts
Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.
1180,1386,322
M
MathsMedium Level alerbra
Master challenging maths concepts with this medium level flashcard set designed for grade 7/8 students. Strengthen your problem-solving skills and boost your confidence in maths!
78913
MathsGCSE Maths (Higher) // Revision Guide
The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.
102,62462
M
MathsMastering Maths: Essential Concepts for Grade 10
Boost your math skills with this comprehensive flashcard set covering key concepts for grade 10. Perfect for exam preparation and building a strong foundation in mathematics.
115641
M
MathsMastering Medium-Level Maths: Essential Flashcards for Grade 11 Students
Boost your Maths skills with this comprehensive set of flashcards designed specifically for Grade 11 students. Covering medium-level topics, these cards will help you ace your exams and build a solid foundation for advanced Maths.
119743
M
MathsMaths Made Easy: Essential Concepts for Grade 7
Master key mathematical concepts with this comprehensive flashcard set designed specifically for 13-year-old students. Strengthen your understanding and ace your exams!
77922
P
MathsPercentage,fractions and decimals
how well do you know percentages,fractions and decimals
73213
M
Mathsmaths SOHCAHTOA
Trigonometric ratios SOHCAHTOA for calculating angles and sides in right-angled triangles.
112240
MathsGCSE Maths Revision Guide
Comprehensive solutions and explanations for past GCSE Maths Paper 1 questions. Topics include solving quadratics, area calculations, ratios, probability, and more. Ideal for students preparing for their exams, with clear step-by-step methods and key concepts highlighted.
111,42317
Most popular content
9SociologySociology of Families: Comprehensive Revision
Dive into an extensive overview of family dynamics, perspectives, and patterns in sociology. This resource covers key concepts such as family diversity, gender roles, marriage, and the impact of social policies on family structures. Perfect for A-Level Sociology students preparing for Paper 2.
1273,7982,306
SociologySociology of Education Overview
Explore comprehensive A-Level Sociology notes on the education system, covering key theories, policies, and sociological perspectives. This resource includes insights on marketisation, gender roles, cultural deprivation, and educational inequalities, providing a thorough understanding of how education shapes social stratification and individual achievement. Ideal for exam preparation and in-depth study.
12102,9863,041
CriminologyCriminology: Crime & Punishment Overview
Comprehensive mindmaps covering key concepts in the Crime and Punishment topic for WJEC Criminology Unit 4. This resource includes detailed insights into the Criminal Justice System, crime prevention strategies, sentencing models, and the roles of various agencies. Ideal for A-Level revision, ensuring you grasp essential theories and legislative processes to excel in your exams.
1254,8981,061
SociologyComprehensive Crime & Deviance Overview
Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.
1251,6721,401
C
BiologyCell Biology and Cell structure
cell structures
113,2990
CriminologyWJEC Unit 4 Criminology
Criminology unit 4 detailed revision note
127,177125
SociologySociological Theories Overview
Comprehensive revision of key sociological theories including Functionalism, Marxism, Feminism, and Interpretivism. Explore concepts like value freedom, identity formation, and the critique of social control. Ideal for AQA A-Level Sociology students preparing for exams. This summary covers essential theories and their implications in sociology, providing a clear understanding of each perspective.
1231,494846
T
BiologyThe functions of subcellular structures - B1 Biology
Flashcards on the different functions of subcellular structures: cell membrane, nucleus, mitochondria, ribosomes, cytoplasm, permant vacuole, chloroplasts and cell wall.
112,8215
1
Biology1.cells Gcse biology question cards
combined science higher biology
112,3734
Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user