The decimal 2.285714286 can be expressed as a fraction by recognizing the repeating pattern of the digits after the decimal point, which is 285714. To convert this to a fraction, we can set x = 2.285714286 and then subtract 2 from both sides to get x - 2 = 0.285714286. Next, we multiply both sides by 1,000, since there are three digits after the decimal point, to get 1,000x - 2,000 = 285.714286. Simplifying this gives us 1,000x = 2,285.714286. Finally, dividing both sides by 1,000 gives us the fraction 2285 7/14, which simplifies to 2285 1/2.
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