Worked Example 1: Simple Recurring
This study notes covers Worked Example 1: Simple Recurring within Recurring Decimals for GCSE Mathematics. Revise Recurring Decimals in Number for GCSE Mathematics with 14 exam-style questions and 11 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 6 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 6
Practice
14 questions
Recall
11 flashcards
Worked Example 1: Simple Recurring
Convert 0.7̇ to a fraction
Step 1 Let x = 0.777...
x = 0.777777...
Step 2 Multiply by 10
10x = 7.777777...
Step 3 Subtract x from 10x
10x − x = 7.777... − 0.777...
9x = 7
Step 4 Solve for x
x = 7/9
Keep building this topic
Read this section alongside the surrounding pages in Recurring Decimals. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Recurring Decimals
Which of these fractions gives a recurring decimal when you divide?
Explain why 1/6 gives a recurring decimal. You must refer to prime factors in your answer.
Quick Recall Flashcards
14 questions on Recurring Decimals — practise free
Instant marking, adaptive difficulty, and 11 spaced repetition flashcards. Free until your GCSEs.
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