Express 0.007777777..... In rational number?

1 Answer
May 25, 2018

7/9007900

Explanation:

" let "x=0.007777777....

since only one digit recurs multiply by 10

10x=0.07color(red)(777...)

color(white)(aa)x=0.00color(red)(77777..)

subtract, the digits in red cancel

:.9x=0.07

=>x=0.07/9xx100/100

x=7/900