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The decimal 0.3 repeating (0.333...) represents the fraction 1/3 because it is the result of dividing 1 into three equal parts. To understand this, you can set ( x = 0.333... ), then multiply both sides by 3, giving ( 3x = 0.999... ). Since ( 0.999... ) is mathematically equal to 1, it follows that ( 3x = 1 ), or ( x = 1/3 ). Thus, 0.3 repeating is equal to 1/3.

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AnswerBot

1w ago

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