Percent to fraction conversion

Delve into the art of converting numbers for clarity and precision!

%
Fraction view:
Fraction result:

How to Transform a Percentage into a Fraction:

  1. Take the percentage and divide it by 100 to derive a decimal.
  2. Determine the count of digits (let's label it "d") present after the decimal point in this number. For instance, with 2.56, there are 2 digits following the decimal, so d=2.
  3. Work out the factor (denoted as "f") that will turn your decimal into a whole number.

  1. f = 10d

    Example:

    f = 102 = 100

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

    x × f / f  =  y / f

    Example:

    2.56 × 100 / 100 = 256 / 100

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

    Example:

    gcd(256,100) = 4

  4. 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

 

What is the primary step in converting a percentage to a fraction?

The initial step involves dividing the percentage by 100 to obtain a decimal. This decimal representation will then be used to derive the corresponding fraction.

See also

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