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Britain & the wider world: 1745 -1901
1l the quest for political stability: germany, 1871-1991
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Maths
11 Dec 2025
253
2 pages
Ratios might seem tricky at first, but they're actually quite straightforward once you get the hang of it.... Show more
You'll find ratio simplification everywhere in maths, so mastering this skill now will save you loads of time later. The key is finding the highest common factor of both numbers and dividing through.
For basic ratios like 1518, spot that both numbers share a factor of 3. Divide both sides 15รท3 = 5 and 18รท3 = 6, giving you 56 in its simplest form.
When dealing with decimals in ratios, multiply both sides by 10 (or 100) first to eliminate decimal places. For 2.43.6, multiply by 10 to get 2436, then divide by 12 to reach the simplest form of 23.
Mixed units need converting to the same unit before simplifying. For 24mm1.2cm, convert 1.2cm to 12mm first, giving 2412, which simplifies to 21.
Quick tip Always check if you can divide both numbers by the same factor - start with obvious ones like 2, 3, 5, or 10!
Converting ratios to fractions is actually simpler than it looks - you just need to know what you're comparing. This skill is crucial for probability questions and percentage problems.
To write one part as a fraction of another part, simply put the first number over the second. If you have a ratio of 35, then the first part as a fraction of the second part is 3/5.
For finding one part as a fraction of the total, add up both parts of the ratio first. With 35, the total is 8, so the first part represents 3/8 of the whole, and the second part represents 5/8.
Remember Part-to-part fractions use the original ratio numbers, but part-to-whole fractions need you to find the total first!
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 โ all at your fingertips.
5
Smart Tools NEW
Transform this note into: โ 50+ Practice Questions โ Interactive Flashcards โ Full Mock Exam โ Essay Outlines
Master the concepts of mean and mode using frequency tables. This guide provides step-by-step instructions on setting up frequency tables, calculating the mean, and identifying the mode, with practical examples for better understanding. Ideal for students studying statistics and data analysis.
MathsMaster the art of adding fractions with the Smile and Kiss method. This concise guide walks you through the step-by-step process, including multiplying denominators, adjusting numerators, and simplifying results. Perfect for students looking to enhance their understanding of fraction addition.
MathsShowing how to multiply,divide,add and subtract algebraic fractions (including notes and in depth steps)
MathsExplore essential techniques for simplifying, adding, subtracting, multiplying, and dividing fractions. This summary covers key concepts such as finding common factors, the 'keep, flip, change' method for dividing fractions, and practical examples to enhance your understanding. Ideal for Edexcel GCSE Maths students preparing for higher and foundation levels.
MathsHow to add, subtract, multiply and divide fractions
MathsExplore essential techniques for adding, subtracting, multiplying, and simplifying fractions. This comprehensive guide covers finding common denominators, converting mixed numbers to improper fractions, and cancelling common factors. Ideal for students looking to strengthen their understanding of rational expressions in mathematics.
MathsApp Store
Google 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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because itโs too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didnโt even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as Iโm sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐๐๐ฒ๐ค๐โจ๐๐ฎ
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because itโs too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didnโt even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as Iโm sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐๐๐ฒ๐ค๐โจ๐๐ฎ
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Ratios might seem tricky at first, but they're actually quite straightforward once you get the hang of it. Learning how to simplify ratios and convert them to fractions is essential for GCSE maths and will pop up in loads of... Show more
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Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
You'll find ratio simplification everywhere in maths, so mastering this skill now will save you loads of time later. The key is finding the highest common factor of both numbers and dividing through.
For basic ratios like 15:18, spot that both numbers share a factor of 3. Divide both sides: 15รท3 = 5 and 18รท3 = 6, giving you 5:6 in its simplest form.
When dealing with decimals in ratios, multiply both sides by 10 (or 100) first to eliminate decimal places. For 2.4:3.6, multiply by 10 to get 24:36, then divide by 12 to reach the simplest form of 2:3.
Mixed units need converting to the same unit before simplifying. For 24mm:1.2cm, convert 1.2cm to 12mm first, giving 24:12, which simplifies to 2:1.
Quick tip: Always check if you can divide both numbers by the same factor - start with obvious ones like 2, 3, 5, or 10!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Converting ratios to fractions is actually simpler than it looks - you just need to know what you're comparing. This skill is crucial for probability questions and percentage problems.
To write one part as a fraction of another part, simply put the first number over the second. If you have a ratio of 3:5, then the first part as a fraction of the second part is 3/5.
For finding one part as a fraction of the total, add up both parts of the ratio first. With 3:5, the total is 8, so the first part represents 3/8 of the whole, and the second part represents 5/8.
Remember: Part-to-part fractions use the original ratio numbers, but part-to-whole fractions need you to find the total first!
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 โ all at your fingertips.
5
Smart Tools NEW
Transform this note into: โ 50+ Practice Questions โ Interactive Flashcards โ Full Mock Exam โ Essay Outlines
Master the concepts of mean and mode using frequency tables. This guide provides step-by-step instructions on setting up frequency tables, calculating the mean, and identifying the mode, with practical examples for better understanding. Ideal for students studying statistics and data analysis.
MathsMaster the art of adding fractions with the Smile and Kiss method. This concise guide walks you through the step-by-step process, including multiplying denominators, adjusting numerators, and simplifying results. Perfect for students looking to enhance their understanding of fraction addition.
MathsShowing how to multiply,divide,add and subtract algebraic fractions (including notes and in depth steps)
MathsExplore essential techniques for simplifying, adding, subtracting, multiplying, and dividing fractions. This summary covers key concepts such as finding common factors, the 'keep, flip, change' method for dividing fractions, and practical examples to enhance your understanding. Ideal for Edexcel GCSE Maths students preparing for higher and foundation levels.
MathsHow to add, subtract, multiply and divide fractions
MathsExplore essential techniques for adding, subtracting, multiplying, and simplifying fractions. This comprehensive guide covers finding common denominators, converting mixed numbers to improper fractions, and cancelling common factors. Ideal for students looking to strengthen their understanding of rational expressions in mathematics.
MathsApp Store
Google 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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because itโs too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didnโt even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as Iโm sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐๐๐ฒ๐ค๐โจ๐๐ฎ
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
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 S
iOS 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 Klich
Android 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.
Anna
iOS user
Best app on earth! no words because itโs too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didnโt even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as Iโm sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH ๐๐๐ฒ๐ค๐โจ๐๐ฎ
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Sociology