Percent To Fraction Conversion

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Fraction view:
Fraction result:

How this calculator works?

This online Percent to fraction conversion calculator tool converts a percent value to a fraction. If the percent value is greater than 100%, then it is converted into a mixed number fraction.

Enter a percents input to convert them into fractions. The number you enter can also have decimal places as in 2.5% or 0.455%.

To convert a percent input to a fraction, you first convert the percent to a decimal, and then use the same procedure as converting a decimal to a fraction.

Steps to Convert Percent to Fraction

Method One

Step 1: Divide the given percent number by 100. You will get a decimal number.

Step 2: Count number of digits after a decimal point, represented as d.
The decimal number 2.56 has two digits after the decimal point, so d=2.

Step 3: Now, using a formula f=10d, calculate the factor (f). This will convert the Decimal number as an integer.

formula

Step 4: The given decimal number should be multiplied and divided by the factor f.

fraction

Step 5: Calculate Greatest Common Divisor (GCD) of the fraction.

GCD (256,100) = 4

Step 6: Solve the fraction by dividing the numerator and denominator by the

GCD value:

gcd

Method Two

Step 1: Divide the given percentage value by 100 to get the decimal number.

Step 2: If the given percent number is not a whole number, then multiply every number by 10 after the decimal point.

Step 3: Simplify the fraction.