![]() 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. See the steps to convert these common decimal values to fraction form.How to use the decimal to fraction calculator. The table allows you to conveniently see the corresponding fraction for a decimal number.Ĭhart showing the conversion for common numbers from decimal to fraction Decimal Value See the fraction equivalents for some common decimal values below. And that’s all there is to it.Īn alternate method to convert a decimal to a fraction is to use a conversion chart such as this one. Then, convert the number to fraction form following the steps above.Īnd finally, add the negative sign in front of the fraction to convey that this is a negative number. Start by removing the minus sign from the beginning of the number. You can convert a negative decimal to a fraction too. X = 1167 / 990 How to Convert a Negative Decimal to a Fraction The first step in transforming a repeating decimal is to create an algebraic equation to represent the decimal. Repeating decimal numbers require a slightly different process to convert to a fraction. These numbers can be expressed in a rounded form, such as 1.788, or with an over-bar above the repeating portion like this: 1.1 78. But some decimals are repeating decimals, which are numbers that continue infinitely after the decimal point, such as 1.1787878. So far we’ve been talking about terminating decimal numbers, since the numbers have a finite number of digits after the decimal. How to Convert a Repeating Decimal to a Fraction After converting to fraction form, add the negative sign back. You can also use a fraction to mixed fraction calculator for this step.įor negative numbers, remove the negative symbol from the starting decimal, then follow the steps above. For example, let’s simplify the improper fraction 5 / 4 to a mixed number.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |