The value of x is 11.
Explanation:
Given that [tex]\overline{0.27}[/tex] is the repeating decimal.
The repeating decimal [tex]\overline{0.27}[/tex] is converted into the fraction as
[tex]\overline{0.27}=\frac{3}{x}[/tex]
The value of x:
We need to determine the value of x.
Thus, the fraction can be written as
[tex]0.2727272727=\frac{3}{x}[/tex]
Multiplying both sides by x, we have,
[tex]0.2727272727x=3[/tex]
Dividing both sides by 0.2727272727, we get,
[tex]x=\frac{3}{0.2727272727}[/tex]
Dividing, we get,
[tex]x=11[/tex]
Thus, the value of x is 11
