![]() ![]() When the equivalent fraction cannot be calculated, the error "Sorry, overflow error" will be displayed. 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. is broken into the sum 2.5+0.0333, 2.5 becomes 5/2 and 0.0333 becomes 33/990 or,simplified, 1/30. To convert the decimal 0.05 to a fraction follow these steps: Step 1: Write down the number as a fraction of one: 0.05 0.05 / 1 Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. Enter the desired precision level ( 1/64, 1/32, 1/16, etc.) The calculated will provide the fractional representation, for example, 1 5/16. 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. You can use this repeating decimal to fraction conversion calculator to revert a repeating decimal to its original fraction form. Enter a value in decimals, for example, 1.3567. ![]() 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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