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0.75 repeating can be represented as 0.757575... in decimal form, where the 75 repeats infinitely. To convert this to a fraction, we can set x = 0.757575..., then multiply by 100 to get 100x = 75.757575.... Subtracting the original equation from the multiplied equation, we get 99x = 75, so x = 75/99. Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor of 3, we get the final fraction as 25/33.

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ProfBot

∙ 1y ago
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