Decimal to Fraction Conversion- Online Free Converter with Examples

What is Decimal to Fraction conversion ?

Decimal to Fraction conversion is a process of converting a decimal number into a fraction. And this is done by writing a decimal number as a numerator and a power of 10 as the denominator. The main purpose of decimal to fraction conversion is to represent decimal number in more simple and accurate form. It is useful where more precise results are needed, like- in mathematical and scientific calculations. In day-to-day life, thousands of peoples including students and professional wants to convert decimal to fraction. So, we have made a simple, fast and accurate Decimal to Fraction converter. You need to enter value in the decimal and rest of the job is done by our free converter.

Decimal: Decimal is represented by a dot(.) in mathematics. It is a type of real number that is written as a combination of a whole number and a fractional component. Decimal numbers are documented utilizing the base-10 system, which uses 10 digits (0 to 9) to represent all real numbers.

Fraction: A mathematical expression that is used to denote a part of a whole is a fraction. A fraction consists of two numbers (the numerator and denominator), separated by a slash (/).

How to Convert a Decimal to Fraction?

To solve complex mathematical and scientific calculations problems with accuracy, we need to convert a decimal to fraction.  To convert a decimal number to fraction, you need to follow the following steps–

  • Multiply the decimal number by a power of 10 to get a whole number.
  • Now, Consider the whole number as a numerator of the fraction.
  • Use the power of 10 from step 1 as the denominator and Simplify the fraction.

Example-1, to convert the decimal 0.75 to a fraction:

  1. 0.75 x 100 = 75
  2. Numerator: 75, and Denominator: 100
  3. Simplify the fraction: 75/100 = 3/4.

Example-2, to convert the decimal 0.35 to a fraction:

  1. 0.35 x 100 = 35
  2. Numerator: 35, and Denominator: 100
  3. Simplify the fraction: 35/100 = 7/20.

The above method of converting a decimal to fraction might be difficult for large fraction values; You may use our online converter, given in the top of this article.

Decimal to Fraction Conversion Table

Decimal Fraction Decimal Fraction
0.5 1/2 1.5 6/4
0.25 1/4 0.857142.. 6/7
0.6666… 2/3 0.875 7/8
0.4 2/5 1.4 7/5
0.285714.. 2/7 3.333.. 10/3
0.2222 2/9 1.42857.. 10/7
0.75 3/4 1.875 15/8
0.428571.. 3/7 0.9375 15/16
2.5 5/2 0.95454.. 21/22
0.83333 5/6 0.78125 25/32

Converting repeating decimal to fraction

Example -1. How to Convert Convert 0.333333.. to fraction ?

Step- 1. let   x= 0.333333..

Step- 2. 10x= 3.33333..  (multiplying step 1 equation by 10)

Now, Subtracting step 1 equation from step 2 equation.

10x – x = 9x = 3 and  x = 3/9 = 1/3 answer.

Example -2. How to Convert Convert 0.0565656.. to fraction ?

Step- 1. let   x= 0.0565656..

Step- 2. 100x= 5.65656..  (multiplying step 1 equation by 100)

Now, Subtracting step 1 equation from step 2 equation.

100x – x = 99x = 5.6 and x = 5.6/99 = 56/990 = 28/495 answer.

References– we have taken references from various popular websites like – Google, Wikipedia etc. to write this article and Decimal to Fraction converter. And if you finds this tool useful, please share this with your friends.