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Fun Questions on Recurring Decimals to Fractions

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anisa <3

08/01/2023

Maths

recurring decimals

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Converting between fractions, decimals and percentages

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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Subjects

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Number

Converting between fractions, decimals and percentages

 

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8 Jan 2023

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2 pages

Fun Questions on Recurring Decimals to Fractions

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anisa <3

@ktxnliaa

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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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.,100x−xfortwo−digitrecurringdecimalse.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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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.

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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.

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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.

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Elisha

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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

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