The repeating decimal 1.81818182 can be expressed as a fraction by recognizing the repeating pattern. Since there are 2 repeating digits (18), we can set up an equation to find the fraction. Let x = 1.81818182. Multiplying x by 100 gives 100x = 181.818182. Subtracting the original equation from this gives 99x = 180, so x = 180/99. Simplifying this fraction gives the final answer of 20/11.
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