Answer: [tex]\frac{9}{11}[/tex].
Step-by-step explanation: The given decimal is 0.81818182, which is recurring and non-terminating decimal form.
Let us consider that
[tex]x=0.81818182\\\Rightarrow 100x=81.818182\\\Rightarrow100x=81+.81818182\\\Rightarrow100x=81+x\\\Rightarrow 100x-x=81\\\Rightarrow99x=81\\\Rightarrow x=\dfrac{81}{99}\\\Rightarrowx=\dfrac{9}{11}[/tex].
Thus, the fractional form of the decimal 0.81818182 is 9/11.
