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The decimal 0.5 recurring, represented as (0.555...), can be converted into a fraction by letting (x = 0.555...). Multiplying both sides by 10 gives (10x = 5.555...). Subtracting the original equation from this yields (9x = 5), so (x = \frac{5}{9}). Thus, 0.5 recurring in simplest fraction form is (\frac{5}{9}).
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