Respuesta :
The decimal representation of 1/11 is given by option A. [tex]\overline{0.09}[/tex]
What is decimal representation?
"The decimal representation of a rational number is converting a rational number into a decimal number that has the same mathematical value as the rational number."
For given question,
[tex]\frac{1}{11}=0.090909...[/tex]
Here, the decimal representation is non-terminating but there is repetitive pattern of [tex]09[/tex] after decimal point.
So, decimal representation of 1/11 can be written as,
⇒ [tex]\frac{1}{11} =\overline{0.09}[/tex]
Hence, the correct answer is option A. [tex]\overline{0.09}[/tex]
Learn more about decimal representation here:
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