Express 0.545454... as a fraction in its simplest form.

This problem can be solved by using algebra and rearranging as follows:

Let x = 0.545454...
Then 100x = 54.545454...

If we then subtract x from 100x we get:
99x = 54 or rearranged x = 54/99
(This works to eliminate the reoccurring decimal part of the equation)

Now by dividing numerator and denominator by 9 we get:x = 6/11 the answer in it's simplest form.

PC
Answered by PETER C. Maths tutor

13606 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I find the roots of a quadratic equation?


Draw a graph and clearly label any x and y intercepts for the equation y=x^2+6x+9


How to find the equation of a line from a graph?


Solve x^2 – 6x – 8 = 0 Write your answer in the form a ± √ b where a and b are integers. (Higher tier paper)


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences