Show that 0.81 reocurring = 9/11

Let x = 0.8181818181...
100x = 81.81818181...100x - x = 81.81818181... - 0.8181818181(100 - 1)x = 8199x = 81x = 81/99x = 9/11

Answered by Emily D. Maths tutor

2970 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4


How do you find the length of the diagonal of a rectangle of 5cm by 12cm?


How to find domains satisfying quadratic inequalities?


Jamil has 5 litres of water in a container. He pours 750 millilitres of water into each of 6 bottles. (c) How much water is left in the container? Give your answer in millilitres.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences