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The number 0.126 with the 6 repeating can be represented as a fraction by using the following steps: Let x = 0.126126126... (repeating 126). Multiply x by 1000 to shift the decimal point three places to the right, yielding 1000x = 126.126126... Subtract x from 1000x to eliminate the repeating decimal, giving 999x = 126. Divide both sides by 999 to find the fraction form, which simplifies to 14/111.
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