Percent to fraction conversion


%
Fraction view:
Fraction result:

Fraction to percent converter ►


How to convert percent to fraction

  1. Divide the percent by 100 to get decimal number.
  2. Count the number of digits (d) to the right of the decimal point of the decimal number.

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

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

    f = 10d

    Example:

    f = 102 = 100

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

    x × f / f  =  y / f

    Example:

    2.56 × 100 / 100 = 256 / 100

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

    Example:

    gcd(256,100) = 4

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

    Example:

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

Example

One percent is equal to one hundredth:

1% = 1/100

So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.

For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:

56% = 56/100 = 14/25

Percent to fraction conversion table

Percent Fraction
1% 1/100
10% 1/10
11.11% 1/9
12.5% 1/8
14.29% 1/7
16.67% 1/6
20% 1/5
22.22% 2/9
25% 1/4
28.57% 2/7
30% 3/10
33.33% 1/3
37.5% 3/8
40% 2/5
42.86% 3/7
44.44% 4/9
50% 1/2
55.56% 5/9
57.14% 4/7
62.5% 5/8
66.67% 2/3
60% 3/5
70% 7/10
71.43 5/7
75% 3/4
77.78% 7/9
80% 4/5
83.33 5/6
85.71 6/7
87.5% 7/8
88.89% 8/9
90% 9/10

 

Fraction to percent conversion ►

 

See also

NUMBER CONVERSION
CONTACT