![]() ![]() In such a case, Recurring decimal to fraction conversion for two recurring digits What if you have a number with two recurring decimal digits, like, 0.21212121. Thus, it is clear that 1/3 is the fractional equivalent of 0.333333īut no, this is the case for a single repeating digit after the decimal. To understand it better, suppose you need to find the fractional equivalent of, say, 0.333333 Recurring decimal to fraction conversion for single recurring digit As mentioned in its name, this calculator computes the conversion of a recurring decimal number into its fractional equivalent. What is recurring decimal to fraction conversion?īefore we start with the details of the decimal to fraction calculator, let's understand its function first. However, given the fact that time is crucial and there are other tasks to perform too, iCalculator developed the recurring decimal to fraction calculator to help save you time. So, moving on, every calculation you make, the processor will do it way faster, giving you accurate results than you are capable of producing. When the equivalent fraction cannot be calculated, the error "Sorry, overflow error" will be displayed.Everything You Need to Know about Recurring Decimal to Fraction CalculatorĪny guesses how long it will take you to do all those calculations? Right, more than you think. Very big numbers or numbers with many digits after the floating point may not be converted here. The result of the conversion is therefore (5/2)+(1/30)=38/15Īll fractions are reduced as soon as possible to simplify the subsequent operations. Each element is converted separately, the non repeating portion is converted as explained above, while the fraction for the repeating portion is obtained by dividing the repeating figures by a number of 9's equal to the length of the sequence, followed by a number of '0's equal to the the number of 0's between the dot and the repeating digits.įor example the number 2.5333. When the number has infinitely repeating decimals, then the fraction is obtained by breaking the number into a sum of the non-repeating portion and the repeating portion. The resulting number is then shown divided by the same power of 10 to represent the original number as a fraction. This is because the number is multiplied by a power of 10 such that the decimal point is removed. ![]() When the number has no repeating decimal portion, the numerator of the equivalent fraction is obtained by removing the dot from the number, and the denominator is '1' followed by the same number of 0's as the length of the decimal portion.įor example the number 12.4 is equal to 124 divided by 10, so the equivalent fraction is 124/10, which, when simplified, becomes 62/5. ![]() How to convert a decimal number to it's equivalent fraction See the following table for examples: Type of number You may also convert to fractions numbers with infinitely repeating digits by enclosing the repeating digits in parenthesis or by adding '.' at the end of the number. You may enter simple rational numbers with the whole portion separated from the decimal portion by a decimal point (ex. This calculator allows you to convert real numbers, including repeating decimals, into fractions.Įnter a decimal number in the space above, then press Convert to Fraction to send the number and calculate the equivalent fraction. How to use the decimal to fraction calculator. ![]()
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