Master Converting Fractions to Recurring Decimals with Easy Steps 🔢
Learn a simple, step-by-step method to convert fractions into recurring decimals. Perfect for beginners and anyone looking to improve their math skills!

Sophos Education
55 views • Jan 28, 2025

About this video
In this lesson, we teach you how to convert fractions into recurring decimals using a step-by-step process. Whether you’re new to recurring decimals or want to sharpen your skills, this guide will help you understand how fractions like 1/3, 2/9, 5/6, and 2/7 convert into repeating decimal forms.
To see more lessons and use the ultimate GCSE tool, visit our homepage: https://bit.ly/YouTubeSophos
What You’ll Learn:
- How to convert simple fractions into recurring decimals using long division.
- Understanding recurring decimals and how to identify repeating patterns in decimal expansions.
- Techniques for converting fractions like 1/3, 2/9, 5/6, and 2/7 into their decimal equivalents.
- How to use the repeating decimal notation (dots over repeating digits) to express infinite repeating decimals concisely.
- Practical examples to help reinforce your understanding of converting fractions into recurring decimals.
Step-by-Step Process:
- Set up the division problem.
- Perform long division and look for recurring remainders.
- Express the repeating digits using a dot notation.
By the end of this lesson, you’ll be able to easily convert any fraction into a recurring decimal. Understanding this concept is key for handling fractions and decimals in real-world math problems, especially in advanced mathematics and problem-solving.
🤔 Common Questions Answered:
- How do you convert a fraction to a recurring decimal?
- How do you find the recurring decimal of 1/3?
- What is the recurring decimal of 2/9?
- How do you convert 5/6 to a repeating decimal?
- What is 2/7 as a recurring decimal?
- Why do some fractions become recurring decimals?
- How do you identify the repeating part in a decimal?
- How do you represent a repeating decimal with a dot?
- What are the steps to convert a fraction to a recurring decimal?
- How do I know when a decimal is recurring?
Watch the rest of the GCSE Maths course at Sophos Education to master more essential math skills!
More videos on 'Number - Decimals': https://www.youtube.com/playlist?list=PLUYoEpztZGBuo_nUYDuyNlaQ4V9jUNrMC
To see more lessons and use the ultimate GCSE tool, visit our homepage: https://bit.ly/YouTubeSophos
To see more lessons and use the ultimate GCSE tool, visit our homepage: https://bit.ly/YouTubeSophos
What You’ll Learn:
- How to convert simple fractions into recurring decimals using long division.
- Understanding recurring decimals and how to identify repeating patterns in decimal expansions.
- Techniques for converting fractions like 1/3, 2/9, 5/6, and 2/7 into their decimal equivalents.
- How to use the repeating decimal notation (dots over repeating digits) to express infinite repeating decimals concisely.
- Practical examples to help reinforce your understanding of converting fractions into recurring decimals.
Step-by-Step Process:
- Set up the division problem.
- Perform long division and look for recurring remainders.
- Express the repeating digits using a dot notation.
By the end of this lesson, you’ll be able to easily convert any fraction into a recurring decimal. Understanding this concept is key for handling fractions and decimals in real-world math problems, especially in advanced mathematics and problem-solving.
🤔 Common Questions Answered:
- How do you convert a fraction to a recurring decimal?
- How do you find the recurring decimal of 1/3?
- What is the recurring decimal of 2/9?
- How do you convert 5/6 to a repeating decimal?
- What is 2/7 as a recurring decimal?
- Why do some fractions become recurring decimals?
- How do you identify the repeating part in a decimal?
- How do you represent a repeating decimal with a dot?
- What are the steps to convert a fraction to a recurring decimal?
- How do I know when a decimal is recurring?
Watch the rest of the GCSE Maths course at Sophos Education to master more essential math skills!
More videos on 'Number - Decimals': https://www.youtube.com/playlist?list=PLUYoEpztZGBuo_nUYDuyNlaQ4V9jUNrMC
To see more lessons and use the ultimate GCSE tool, visit our homepage: https://bit.ly/YouTubeSophos
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Video Information
Views
55
Duration
6:23
Published
Jan 28, 2025
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