The concept of fractions may seem hassle-free but you must know that it is not! And in the

following article below, we will be taking you through a proper procedure to convert decimals

to a fraction. Moreover, you can also use the online decimal to fraction calculator that is

developed by calculator-online.net. The tool is intuitively designed to convert a decimal

number to a fraction in a matter of seconds.

Apart from using the tool, you also should know how to do it by hand. So let’s discuss it!

Contents

#### How To Turn a Decimal Into Fraction?

In the following section, we will elaborate on the method to turn a decimal to its equivalent

fraction notation.

● Make a supposition that you have 0.125 as a decimal number

● Here, we will try to look for a couple of numbers that yield the same decimal upon

division

● So keep the numerator as 0.125 and consider the denominator as 1

● Now move the decimal point towards the right as

0. 125 −> 1. 25 −> 12. 5 −> 125. 0

● Here, we have moved the decimal point three places to the right, which means we

have o multiply the denominator by 1000, which is 10 raise power to the number 3

● We have the new fraction as

125/1000

● Upon simplification we get the final equivalent fraction as

1/8

This is the final fraction that is equal to the given decimal and can be instantly determined by

the decimal to fraction calculator.

#### Repeating Decimal To Fraction Conversion:

Now if you are willing to convert a recurring decimal number to a fraction, it is more daunting.

But do not worry as the decimal to fraction calculator makes your task very easy and fast,

with 100% accuracy.

Let us make a supposition that we have a number as 0.6252525…

What do you see in the above number? Do not you think that two numbers 25 are

repeating themselves again and again? Yes, they are!

● We have to put 0.6252525… As an x number

𝑥 = 0. 6252525…

● Now we will multiply this number by 100 such that:

100𝑥 = 62. 5252525….

● Go by finding the difference of two

100 −= 99 = 62. 5252525… − 0. 6252525…

= 61. 9100𝑥 − 𝑥 = 99𝑥

= 62. 5252525… − 0. 6252525…

= 61. 9

● Moving to the next point, now we have to swipe the decimal to the right,

6. 19 −> 619

● It means that we just needed to divide the number by 10 as a decimal is just moved

one single place to the right

990𝑥 = 619

● Dividing by 990 into both the sides, we get

𝑥 = 619/990𝑥 = 619/990

Which is the required answer that can also be verified by the free decimal to fraction

calculator.

#### Why Do Decimal To Fraction Conversion?

● Numerous academic, scientific, and practical situations call for the conversion of

decimals to fractions

● First off, fractions frequently offer a more accurate representation of quantities in

mathematical operations. Fractions accurately describe the ratio of two numbers

while decimals may be rounded or estimated with a minor loss of accuracy

● Second, fractions are essential for deriving simple solutions to difficult problems in

calculus, algebra, and other higher-level mathematics. Although fractions are more

flexible for symbolic manipulation and can give a finer view of the connection

between amounts, decimals may be first simpler to understand Additionally, fractions can display mathematical properties that are less obvious in

decimals. For instance, repeated decimals can be converted to fractions that display

the pattern as a ratio. This might lead to a better comprehension of number

connections and qualities

● Fractions frequently have greater significance in real-world situations than decimals.

Consider a situation where you are eating pizza slices. In this case, it makes more

sense to state that you consumed 1/2 of a pizza rather than 0.5 of a pizza

● Computations frequently need fractions in scientific disciplines like physics and

engineering. Fractions are frequently used in scientific formulae and constants of

nature, which highlights how crucial it is to comprehend this numerical representation