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 5 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 5
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