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To convert the decimal 0.466666 into a fraction, recognize that it can be expressed as (0.46666\ldots), where the "6" repeats indefinitely. Let (x = 0.46666\ldots). By multiplying both sides by 10, we get (10x = 4.66666\ldots). Subtracting the original equation from this gives (10x - x = 4.66666 - 0.46666), or (9x = 4.2). Thus, (x = \frac{4.2}{9}), which simplifies to (\frac{21}{45}) or (\frac{14}{30}) or (\frac{7}{15}) when reduced to lowest terms. Therefore, (0.46666\ldots = \frac{7}{15}).

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1y ago

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