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what Is the recurrIng decImal 2.1666666666... converted to a fractIon?

Updated: 4/5/2024
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crystal ISIS

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Q: What Is the recurrIng decImal 2.1666666666... converted to a fractIon?
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What is the fraction 11 over 13 converted into a decimal?

11/13 = 0.846153 recurring decimal


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To convert a fraction to a decimal, divide the denominator into the numerator. Whether it is recurring or not depends on the fraction.


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A recurring decimal can always be converted to a fraction with integer numerator and denominator, and that is precisely the definition of a rational number. Example: let the recurring number be 0.3121212... Call the number "x" 100x = 31.21212... x = 0.31212... Subtract the two equations: 99x = 30.9 990x = 309 x = 309/990 This can be simplified, but the point is that I converted the recurring decimal to a fraction, with integer numerator and denominator.


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It is a decimal fraction: for example 0.25 or 0.166... recurring


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Since the numerator of the fraction is prime, 37/120 is already expressed in its simplest form. Expressed as a decimal fraction, this is equal to 0.3083 recurring (that is, 0.3083333....)


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what is the 0.0625 converted as a fraction


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The decimal form of a fraction is either a terminating or recurring decimal.


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You do a long division so that the remainder is converted to a terminating or recurring decimal. Then multiply the [decimal] fraction by 100. For example, 37/40 = 0.925 = 92.5% 37/60 = 0.6166... = 61.66 (recurring) %


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If it is a recurring decimal then its fraction is 1/9


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0.33... with the 3s recurring forever is the decimal equivalent of 1/3 .


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If it is recurring 3 then as a fraction it is 7/3 and it is already expressed as a decimal