Represent x = 0.0154 recurring as a fraction.

To represent x = 0.0154 recurring as a fraction you need to eliminate the recurring element. You do this by finding the nearest multiple of x with the same recurring decimal element. For example, multiplying x by 10,000 gives 10,000x = 154.0154 recurring. 

x and 10,000x both have the same recurring element so you can eliminate this by subtracting x from 10,000x.

10,000x -x = 9,999x

154.0154 - 0.0154 = 154

So 9,999x = 154

Divide both sides by 9,999 to find x

x = 154/9999

Answered by Lorne F. Maths tutor

3218 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I solve equations with unknowns in the denominators?


Find the equation of the straight line passing through the points (7,5) and (8, 2)


Solve the linear equation 4x+5=-6x+15


Find x. x^2 + 6x + 5


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