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To express 0.31111111111111 recurring as a common fraction, we can set x = 0.31111111111111 and then multiply x by 10 to shift the decimal point to the right, yielding 10x = 3.1111111111111. Next, we subtract the original equation from the shifted equation to eliminate the repeating decimal, giving 9x = 2.8. Finally, we divide both sides by 9 to solve for x, resulting in x = 2.8/9 = 28/90. Therefore, 0.31111111111111 recurring as a common fraction is 28/90.

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