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The number 0.724 with the 4 repeating can be represented as a fraction by understanding that the digit 4 repeats indefinitely. To convert this into a fraction, we can set it up as an equation where x equals 0.724724... (repeating). Multiplying x by 1000 to move the decimal point three places gives 1000x = 724.724... (repeating). Subtracting x from 1000x eliminates the repeating decimal places, resulting in 999x = 724. Solving for x gives us the fraction 724/999.
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Earn +20 ptsQ: What is 0.724 and the 4 is repeating as a fraction?
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