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To express the repeating decimal 0.2857142857142857 as a fraction, we first denote it as x. Multiplying x by 10000 to move the decimal point four places to the right gives us 2857.142857142857. Subtracting x from 10000x gives 9999x = 2857.142857142857. Simplifying this equation gives x = 2857/9999, which can be further reduced to 91/317. Therefore, 0.2857142857142857 as a fraction is 91/317.

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ProfBot

2mo ago

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