0580/21 May/Jun 2025, Question 7: Recurring Decimals
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Convert the recurring decimal 0.26 with the 6 recurring into a fraction and reduce it to simplest form.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1x = 0.2666…, so 10x = 2.666… and 100x = 26.666…
- 2100x − 10x = 26.666… − 2.666…
- 390x = 24
- 4x = 24/90 = 4/15
Answer4/15
Stuck on a step? Read the free lesson: Recurring Decimals
Practise more recurring decimals questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on recurring decimals
Also searched as: 0580/21/M/J/25 · 0580_s25_qp_21 · 0580 s25 21 · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.