0580/23 May/Jun 2023, Question 14: Recurring Decimals
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Convert the recurring decimal 0.581581... (digits 58 then 1 repeating) into a fraction, showing full working and simplifying the result.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1x = 0.58181…
- 21000x = 581.8181… and 10x = 5.8181…
- 3990x = 576
- 4x = 576/990 = 32/55
Answer32/55
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: 0580/23/M/J/23 · 0580_s23_qp_23 · 0580 s23 23 · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.