This calculator converts decimals to fractions. Enter the decimal number below to see it in simplified fraction form.
Decimal Examples: .98, 2.1, 7.264, 2.933, 0.8466, .344:
Decimals and fractions both represent numbers which are not whole numbers. All decimal numbers can be converted into fractions and vice-versa. This site, provides a decimal to fraction converter calculator which converts any decimal as a fraction.
Fractions and decimals are simply used to represent any number which is smaller than one. As part of daily life really it's important to understand how to convert decimals into fractions. Often in our daily lives, we come across numbers which are not whole numbers which are lesser than one and often given in decimals. Sometime we need to convert these decimals into fractions to perform mathematical functions such as addition, subtraction, multiplication, division, etc.
There are two types of decimals, ie., terminating decimals and non-terminating decimals. The terminating decimals are the ones which can be solved and the result can be obtained. For example, 0.5, 0.986, 1.4876, etc. These are the common types of decimals that you will come across, and also these are easiest to convert.
The other type of decimals are non-terminating decimals, or recurring decimals, which cannot be solved and hence have infinite digits. The terminating decimals are rational numbers which can be represented in the fraction form, i.e. p/q form. The non-terminating decimals are irrational numbers which cannot be represented in p/q form.
As the next step we'll explain you how to convert fractions into decimals in easy steps.
It is easier to convert terminating decimals into fractions. You can easily convert any terminating decimal number into a fraction using the following steps:
Step 1: Write the decimal number in fraction format, with the number as the numerator and 1 in the denominator.
Step 2: Now, multiply the numerator and the denominator by 10 for every digit left of the decimal point.
Step 3: Next, reduce the fraction into its simplest form.
Non-terminating decimals are those decimals which have an infinite number of recurring digits. It is a bit tricky to convert non-terminating decimals into fractions. Next we'll explain the steps. For example, let us find the value of 0.4444... in fraction form.
Step 1: Take the repeating decimal you are trying to convert as x. Let x be equal to 0.44444….
Step 2: Multiply the value of X by the power of 10, such that the resulting number has the same number on the right side of the decimal.
Hence, 10x = 4.44444….
Step 3: Subtact the output of step 2 from step 1
10x-x = 4.444444...-0.4444444….
Step 4: Resulting in a fraction number of the decimal number.
Here we explained you how to convert the two types of decimals, i.e., terminating and non-terminating decimals into fractions. It is quite easy to convert even the non-terminating decimals into fractions, if you know the correct steps. But the calculations can get tricky sometimes, and you might not be able to reach to the final result.
So to help you find the accurate fraction value for a decimal, we have provided you with the above decimal to fraction convertor, note that you can enter a decimal number up to 10 digits. Use this conversion calculator anywhere, or as a reference while you learn the conversion steps manually.