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Fun Questions on Recurring Decimals to Fractions

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anisa <3

08/01/2023

Maths

recurring decimals

Fun Questions on Recurring Decimals to Fractions

Converting recurring decimals to fractions is a crucial skill in mathematics. This guide provides a comprehensive overview of the process, including recurring decimals to fractions examples, methods for identifying recurring decimals in fractions, and practice questions. Students will learn how to recognize recurring decimals, convert them to fractions, and solve related problems efficiently.

• The guide covers the relationship between denominators and decimal types (terminating or recurring).
• It includes exercises for identifying recurring decimals and converting them to fractions.
• Various methods for converting recurring decimals to fractions are explained with step-by-step examples.
• The content also addresses writing recurring decimals as mixed numbers.
• Practice questions are provided to reinforce understanding and application of the concepts.

...

08/01/2023

212

recurring decimals
denominator
then decimal is terminaring.
denominaror any other prime faltor decimal is
recurring
1. circle any fractions

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Page 2: Advanced Conversions and Mixed Numbers

This page delves into more complex conversions of recurring decimals to fractions and introduces the concept of writing recurring decimals as mixed numbers. It builds upon the methods introduced in the previous page, offering more challenging examples.

The page begins with the conversion of 0.4515151... to a fraction, demonstrating the application of the algebraic method for a three-digit recurring decimal.

Example: Converting 0.4515151... to a fraction results in 447/990, which can be simplified to 149/330.

The guide then transitions to writing recurring decimals as mixed numbers, providing a step-by-step approach for this process.

Highlight: To write a recurring decimal as a mixed number, first convert it to a fraction, then separate the whole number part from the fractional part.

Several examples of converting recurring decimals to mixed numbers are provided, serving as a practical recurring decimals to fractions worksheet with answers.

The page concludes with an exercise on ordering different representations of numbers, including fractions, recurring decimals, and terminating decimals. This exercise reinforces the importance of being able to convert between these different forms for accurate comparison.

Vocabulary: Mixed number - A number expressed as a whole number and a fraction combined.

This comprehensive guide equips students with the skills needed to handle recurring decimals to fractions questions and answers, providing a solid foundation for more advanced mathematical concepts.

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Maths

212

8 Jan 2023

2 pages

Fun Questions on Recurring Decimals to Fractions

Converting recurring decimals to fractions is a crucial skill in mathematics. This guide provides a comprehensive overview of the process, including recurring decimals to fractions examples, methods for identifying recurring decimals in fractions, and practice questions. Students will... Show more

recurring decimals
denominator
then decimal is terminaring.
denominaror any other prime faltor decimal is
recurring
1. circle any fractions

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Page 2: Advanced Conversions and Mixed Numbers

This page delves into more complex conversions of recurring decimals to fractions and introduces the concept of writing recurring decimals as mixed numbers. It builds upon the methods introduced in the previous page, offering more challenging examples.

The page begins with the conversion of 0.4515151... to a fraction, demonstrating the application of the algebraic method for a three-digit recurring decimal.

Example: Converting 0.4515151... to a fraction results in 447/990, which can be simplified to 149/330.

The guide then transitions to writing recurring decimals as mixed numbers, providing a step-by-step approach for this process.

Highlight: To write a recurring decimal as a mixed number, first convert it to a fraction, then separate the whole number part from the fractional part.

Several examples of converting recurring decimals to mixed numbers are provided, serving as a practical recurring decimals to fractions worksheet with answers.

The page concludes with an exercise on ordering different representations of numbers, including fractions, recurring decimals, and terminating decimals. This exercise reinforces the importance of being able to convert between these different forms for accurate comparison.

Vocabulary: Mixed number - A number expressed as a whole number and a fraction combined.

This comprehensive guide equips students with the skills needed to handle recurring decimals to fractions questions and answers, providing a solid foundation for more advanced mathematical concepts.

recurring decimals
denominator
then decimal is terminaring.
denominaror any other prime faltor decimal is
recurring
1. circle any fractions

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Recurring Decimals and Conversion Methods

This page introduces the concept of recurring decimals and provides methods for converting them to fractions. It begins with an explanation of how to identify recurring decimals based on the denominator's prime factors.

Definition: Recurring decimals are decimal numbers where a digit or group of digits repeats indefinitely after the decimal point.

The page includes exercises for identifying recurring decimals among given fractions and demonstrates the process of writing fractions as recurring decimals.

Example: The fraction 3/11 is written as the recurring decimal 0.272727... or 0.2727 in shorthand notation.

Several methods for converting recurring decimals to fractions are presented, including:

  1. The algebraic method using variables e.g.,x=0.818181...e.g., x = 0.818181...
  2. The difference method e.g.,100xxfortwodigitrecurringdecimalse.g., 100x - x for two-digit recurring decimals

Highlight: The algebraic method involves setting up an equation, multiplying to shift the decimal point, and then subtracting to isolate the fraction.

The page concludes with examples of converting various recurring decimals to fractions, providing step-by-step solutions that serve as a recurring decimals to fractions worksheet.

Vocabulary: Terminating decimal - A decimal that ends after a finite number of digits.

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Paul T

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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

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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

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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