4MA1/2H Jun 2020, Question 13: Recurring Decimals
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Use algebra to show that the recurring decimal 0.681818… equals 15/22.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1Let x = 0.681818…
- 210x = 6.818181…
- 31000x = 681.818181…
- 4Subtract: 990x = 675
- 5x = 675/990 = 15/22
AnswerShown: 990x = 675, so x = 675/990 = 15/22
Stuck on a step? Read the free lesson: Recurring Decimals
Practise more recurring decimals questions
Real 4MA1 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: 4MA1 2H June 2020 · 4MA1/2H · 4ma1 jun20 2h · question 13.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.