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

ED
Answered by Emily D. Maths tutor

3968 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

I don't understand, what do you use sin, cos and tan for?


How do you expand brackets?


Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.


Solve the equation 5m-2=16-4m


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning