How do i change a recurring decimal into a fraction?

Let's take 0.666... as an example. In this case we can say x = 0. 666... The next step is to multiply both sides of the equation by 10 so that you end up with 10x = 6.666... Now that we have these 2 equations it is possible to eliminate the recurring part of the decimal as we can subtract x from 10x to end up with 9x = 6. The final part is to divide both sides of the equation such that we have x on its own on the left hand side, leaving us with x = 6/9 which can be simplified to x = 2/3.

Answered by Gail L. Maths tutor

2463 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

what is the determinant of a 2x2 matrix


Rearranging Formulae


Solve the following quadratic equation by factorization. Show your working.


Solve (x+2)/3x + (x-2)/2x = 3


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