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

3596 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Which of the following lines is not perpendicular to y=2x+1? (A) y+1/2x=6 (B) 2y=4-x (C) 2x+y=4 (D) y=-1/2(7+x)


The length of a rectangle is five times the width. The area of the rectangle is 1620 cm(squared) Work out the width of the rectangle.


A rectangle has an area of 20 cm2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.


Show that n^2 -n - 90 = 0


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