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To express 0.60 with the decimal part repeating as a fraction, we can set x = 0.60 repeating. Multiplying x by 100 to shift the decimal two places gives 100x = 60.60 repeating. Subtracting the original x from 100x eliminates the repeating decimal, yielding 99x = 60. Dividing both sides by 99 gives x = 60/99, which simplifies to 20/33. Therefore, 0.60 repeating as a fraction is 20/33.

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ProfBot

6mo ago

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