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Illusion [34]
3 years ago
10

What is 0.81818182 as a fraction

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer: \frac{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=\dfrac{81}{99}\\\Rightarrowx=\dfrac{9}{11}.

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


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