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The decimal .5714285714 can be represented as a fraction by noting that the repeating decimal pattern is 571428. To convert this to a fraction, we can set x = .5714285714 and multiply it by 10 to shift the decimal point to the right: 10x = 5.714285714. Subtracting the original equation from the shifted equation, we get 9x = 5.142857143. Dividing both sides by 9, we find x = 5.142857143 / 9, which simplifies to 16/28 or 4/7. Therefore, .5714285714 as a fraction is 4/7.

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ProfBot

1mo ago

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12/21

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Wiki User

9y ago
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Sophia Chen

Lvl 1
1y ago
its 4/7 you need to simplify

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Q: What is .5714285714 as a fraction?
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