Worked Example 2: Two-Digit Recurring
This study notes covers Worked Example 2: Two-Digit 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 5 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 5 of 6
Practice
14 questions
Recall
11 flashcards
Worked Example 2: Two-Digit Recurring
Convert 0.2̇3̇ to a fraction
Step 1 Let x = 0.232323...
x = 0.232323...
Step 2 Multiply by 100 (two digits repeat)
100x = 23.232323...
Step 3 Subtract
100x − x = 23.2323... − 0.2323...
99x = 23
Step 4 Solve
x = 23/99
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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