Decimal to Fraction Conversion

Decimal to fraction conversion calculator

Enter a decimal number and press the Convert button:

             
  Enter Decimal Number:       Fraction Result:  
             
       
   
 
     
             
     
             

Fraction to decimal converter ►

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 = 10d

    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 ►

 

See also

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