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What is 0.81818182 as a fraction

User Rockbala
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1 Answer

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Answer:
(9)/(11).

Step-by-step explanation: The given decimal is 0.81818182, which is recurring and non-terminating decimal form.

Let us consider that


x=0.81818182\\\Rightarrow 100x=81.818182\\\Rightarrow100x=81+.81818182\\\Rightarrow100x=81+x\\\Rightarrow 100x-x=81\\\Rightarrow99x=81\\\Rightarrow x=(81)/(99)\\\Rightarrowx=(9)/(11).

Thus, the fractional form of the decimal 0.81818182 is 9/11.


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