The value of x is 131/333
What is Rational Number?
Any number that can be written as a ratio (or fraction) of two integers is a rational number.
Given decimal is : [tex]0.\overline{393}[/tex]
Now, let x= [tex]0.\overline{393}[/tex]
As there is repeating 3 digits multiply both side by 1000
1000x=393.393393.....
1000x=393+0.393393....
Now, subtract x = [tex]0.\overline{393}[/tex]
1000x=393+0.393393.....- [tex]0.\overline{393}[/tex]
999x= 393
x= 393/999
x= 131/333
Hence value of x is 131/333.
Learn more about rational number here:
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