Decimal to Fraction Conversion

• Decimal to fraction conversion calculator
• How to convert decimal to fraction
• Decimal to fraction conversion table
• Fraction to decimal conversion

Decimal to fraction conversion calculator

Enter a decimal number and press the Convert button:

	Enter Decimal Number:				Fraction Result:

How to convert decimal to fraction

1. Count the number of digits (d) to the right of the decimal point of the decimal number x.

   Example: 2.56 has 2 digits to the right of the decimal point, so d=2.

2. Calculate the factor (f) for making the decimal number an integer:

   f = 10^d

   Example:

   f = 10² = 100

3. Multiply and divide the decimal number x by the factor f:

   x × f / f  =  y / f

   Example:

   2.56 × 100 / 100 = 256 / 100

4. Find the greatest common divisor (gcd) of the fraction.

   Example:

   gcd(256,100) = 4

5. Reduce the fraction by dividing the numerator and denominator by the gcd value:

   Example:

   256 / 100 = (256/4) / (100/4) = 64/25

Decimal to fraction conversion table

Decimal	Fraction
0.01000000	1/100
0.10000000	1/10
0.11111111	1/9
0.12500000	1/8
0.14285714	1/7
0.16666667	1/6
0.20000000	1/5
0.22222222	2/9
0.25000000	1/4
0.28571429	2/7
0.30000000	3/10
0.33333333	1/3
0.37500000	3/8
0.40000000	2/5
0.42857143	3/7
0.44444444	4/9
0.50000000	1/2
0.55555555	5/9
0.57142858	4/7
0.62500000	5/8
0.66666667	2/3
0.60000000	3/5
0.70000000	7/10
0.71428571	5/7
0.75000000	3/4
0.77777778	7/9
0.80000000	4/5
0.83333333	5/6
0.85714286	6/7
0.87500000	7/8
0.88888889	8/9
0.90000000	9/10

 

Fraction to decimal conversion ►

 

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See also

• Fraction to decimal conversion
• Decimal to Percent conversion
• Fractions calculator
• Fraction conversion
• Number conversion