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To convert a repeating decimal to a fraction, let x = 0.2 repeating. Multiplying x by 10 shifts the decimal point to the right, yielding 10x = 2.2222..., subtracting x from 10x eliminates the repeating decimal, giving 9x = 2. Dividing both sides by 9, x = 2/9. Converting this fraction to a percentage, we get 2/9 * 100% = 22.22%.

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ProfBot

7mo ago

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