## Conversion of Decimal Numbers to the Fractions

This platform shows that how to convert decimal (up to 10 decimal places) to fractions, in a very simple form.

Please Enter Zero Before The Decimal Number Like(0.1,0.34,0.xyz values)

### Here's a Random Fraction Examples:

##### 21.122 = 21 122/1000

Decimals and fractions both represent numbers which are not whole numbers. Hence all decimal numbers can be converted into fractions and vice-versa. So here in this site, we shall provide you with decimal to fraction converter calculator which will help you to convert any decimal into fraction easily. Converting decimals into fractions is one of the major concepts taught in Mathematics in school, and is useful in many situations at a later stage also.

Fractions and decimals are simply used to represent any number which is smaller than one. Hence it is very important to learn 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. So we require to convert decimals into fractions often to perform mathematical functions such as addition, subtraction, multiplication, division, etc.

There are many 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.

Hee through this site, we shall explain you how to convert fractions into decimals in easy steps. Also, we shall provide you here with decimals to fractions convertor which will provide you the accurate fraction number for any decimal number you enter up to 10 digits.

##### How To Convert Terminating Decimals Into Fractions

It is easier to convert terminating decimals into fractions. You can easily convert any terminating decimal number into fraction using the following steps:

Step 1: Write the decimal number in fraction format, with the number in teh numerator and 1 in the denominator.

Step 2: Now, multiply the numerator and the denominator by 10 for every digit left o the decimal point.

Step 3: Next, reduce the fraction into its simplest form.

##### How To Convert Non-Terminating Decimals Into Fractions

Non-terminating decimals are those decimals which have infinite number of recurring digits. It is a bit tricky to convert non-terminating decimals into fractions. Here we shall explain you the steps of how to convert non-terminating decimals decimals into fractions: For example, let us find the value of 0.4444... in fraction

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 with a power of 10, such that the resultant number has the same number of 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….

9x= 4

= 4/9

Step 4: You would get a fraction number of the decimal number.

x=4/9

##### Conclusion

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 procedure. 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 here with a decimal to fraction convertor, in which you can enter a decimal number up to 10 digits. It will help you find the accurate results in fraction value within seconds. So you can use this calculator easily anywhere and conduct calculation smoothly without any errors.