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To express 0.004 repeating (0.004444...) as a fraction, let ( x = 0.004444...). Then, multiplying by 10, we have ( 10x = 0.04444...). Subtracting the original equation from this gives ( 10x - x = 0.04444... - 0.00444...), resulting in ( 9x = 0.04). Solving for ( x ) gives ( x = \frac{0.04}{9} = \frac{4}{900} = \frac{1}{225}). Thus, 0.004 repeating as a fraction is ( \frac{1}{225} ).

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8mo ago

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