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!
How To Turn a Decimal Into Fraction?
In the following section, we will elaborate on the method to turn a decimal to its equivalent
● 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
● 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
● Upon simplification we get the final equivalent fraction as
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
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