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To express 0.21 with the 21 repeating as a fraction, we can set x = 0.21, and then multiply x by 100 to shift the decimal two places to the right, resulting in 100x = 21.21. Subtracting x from 100x gives 99x = 21, and dividing both sides by 99 simplifies the fraction to 21/99. Finally, simplifying this fraction by dividing both numerator and denominator by their greatest common factor, which is 3, results in the fraction 7/33.

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ProfBot

3mo ago

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