Subjects

Maths

Number

Converting between fractions, decimals and percentages

1,051

•

4 Feb 2023

•

1 page

Easy Ways to Convert Percentages and More for Year 9 and GCSE!

Becca xx

@live_laugh_love

Converting percentages to decimals and calculating percentages are essential skills... Show more

A. 50% = 1/2 = divide 2
B. 25%=1/4= divide 4
C. 75% = 3/4
D. 20% = 1/5 = divide 5
foundation gsce exam
question:
Write 45% as a
decimal (1 m

Percentages and Decimals: A Comprehensive Guide for GCSE Students

This page provides a detailed explanation of how to convert percentages to decimals and calculate percentages of numbers, which is crucial for GCSE mathematics. The content is particularly useful for students preparing for GCSE foundation percentage problems.

The guide begins by presenting common percentage-to-decimal conversions:

50% = 1/2 = divide by 2
25% = 1/4 = divide by 4
75% = 3/4
20% = 1/5 = divide by 5

These conversions serve as a quick reference for students to memorize and apply in various mathematical problems.

Example: A foundation GCSE exam question asks students to write 45% as a decimal. The correct answer is 0.45.

The guide then delves into more complex percentage calculations with two detailed examples:

Finding 27% of 50: Step 1: Convert the percentage to a decimal by dividing by 100 $27/100 = 0.27$ Step 2: Multiply the decimal by the number $0.27 × 50 = 13.5$ The final answer is 13.5
Finding 17% of 160m: Step 1: Convert 17% to a decimal $17/100 = 0.17$ Step 2: Multiply the decimal by 160 $0.17 × 160 = 27.2$ Step 3: Check and include the units of measure The final answer is 27.2m

Highlight: It's crucial to pay attention to units of measure when solving percentage problems, especially in real-world applications.

These examples demonstrate the step-by-step process of how to calculate percentage of a number, which is a fundamental skill for GCSE mathematics and beyond.

Vocabulary: Decimal - A number expressed in the scale of tens, particularly such a number expressed as a decimal fraction.

Definition: Percentage - A number or ratio expressed as a fraction of 100.

This comprehensive guide equips students with the necessary knowledge and techniques to confidently approach percentage problems in their GCSE exams and everyday life situations involving percentages and decimals.

Students love us — and so will you.

4.9/5

App Store

4.8/5

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 it’s 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 didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m 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 😍😁😲🤑💗✨🎀😮

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

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Basil

Android user

David K

iOS user

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

Rohan U

Android user

Xander S

iOS user

Elisha

iOS user

Paul T

iOS user

Subjects

Maths

Number

Converting between fractions, decimals and percentages

Maths

•

1,051

•

4 Feb 2023

•

1 page

Easy Ways to Convert Percentages and More for Year 9 and GCSE!

Becca xx

@live_laugh_love

Converting percentages to decimals and calculating percentages are essential skills in mathematics, particularly for GCSE students. This guide provides a comprehensive overview of these concepts, including methods for conversion and step-by-step examples of percentage calculations.

Key points:

Converting percentages to... Show more

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Percentages and Decimals: A Comprehensive Guide for GCSE Students

The guide begins by presenting common percentage-to-decimal conversions:

50% = 1/2 = divide by 2
25% = 1/4 = divide by 4
75% = 3/4
20% = 1/5 = divide by 5

These conversions serve as a quick reference for students to memorize and apply in various mathematical problems.

Example: A foundation GCSE exam question asks students to write 45% as a decimal. The correct answer is 0.45.

The guide then delves into more complex percentage calculations with two detailed examples:

Finding 27% of 50: Step 1: Convert the percentage to a decimal by dividing by 100 $27/100 = 0.27$ Step 2: Multiply the decimal by the number $0.27 × 50 = 13.5$ The final answer is 13.5
Finding 17% of 160m: Step 1: Convert 17% to a decimal $17/100 = 0.17$ Step 2: Multiply the decimal by 160 $0.17 × 160 = 27.2$ Step 3: Check and include the units of measure The final answer is 27.2m

Highlight: It's crucial to pay attention to units of measure when solving percentage problems, especially in real-world applications.

These examples demonstrate the step-by-step process of how to calculate percentage of a number, which is a fundamental skill for GCSE mathematics and beyond.

Vocabulary: Decimal - A number expressed in the scale of tens, particularly such a number expressed as a decimal fraction.

Definition: Percentage - A number or ratio expressed as a fraction of 100.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Basil

Android user

David K

iOS user

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

Rohan U

Android user

Xander S

iOS user

Elisha

iOS user

Paul T

iOS user

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Basil

Android user

David K

iOS user

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

Rohan U

Android user

Xander S

iOS user

Elisha

iOS user

Paul T

iOS user

Easy Ways to Convert Percentages and More for Year 9 and GCSE!

Percentages and Decimals: A Comprehensive Guide for GCSE Students

Similar content

maths revision

increasing and decreasing w percentages

recurring decimals

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

4.8/5

Easy Ways to Convert Percentages and More for Year 9 and GCSE!

Sign up to see the contentIt's free!

Percentages and Decimals: A Comprehensive Guide for GCSE Students

Similar content

maths revision

increasing and decreasing w percentages

recurring decimals

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

4.8/5