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To convert 0.136 recurring to a fraction, we can use algebraic manipulation. Let x = 0.136136... (recurring part denoted by the bar). Multiplying by 1000 to shift the decimal three places gives 1000x = 136.136... Subtracting the original equation from this new one eliminates the recurring part, giving 999x = 136. Solving for x, we get x = 136/999, which simplifies to 8/59. Therefore, 0.136 recurring is equal to 8/59 as a fraction.
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