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Fun Questions on Recurring Decimals to Fractions

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anisa <3

1/8/2023

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.

...

1/8/2023

212

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

View

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

Jan 8, 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.(27) 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...)
  2. The difference method (e.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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I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

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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

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

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

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user