A calculator that converts percentages to simple dan mixed fractions.
Enter a percentage value in the box, e.g., 66.6667. Get a visual representation, the conversion result, and the steps to the solution.
Here is the step-by-step math to convert it:
Percent to Fraction
A percent is another form of a fraction with a denominator of one hundred.
Example: 50% = 50100 = 12
To convert a percentage to a simple fraction, first convert the percentage to a mixed fraction by adding 100 to the denominator, then simplify the fraction to its simplest form by dividing both the numerator and the denominator by the GCD of the numerator and the denominator.
How this calculator works?
This percentage to fraction calculator uses a combination of standard mathematical logic and special-case handling to convert all kinds of percentage values into fractions.
1 The calculator first takes the value entered by the user; valid values are then converted to the decimal (float) data type, and to simplify the calculation process, the calculator uses the absolute value of that number.
2 To handle special cases, this calculator uses specific logic to detect percentages that are repeating decimals, specifically for fractions equal to one-third (13) and two-thirds (23). If either of these conditions is met, the system does not perform the calculation using the standard method, but instead directly applies and displays the algebraic proof for repeating decimals.
3 The calculator will then perform the main calculation by running a standard mathematical algorithm through the following steps:
4 Finally, the calculator will display the results of the conversion of simple fractions and decimal numbers, a pie chart visualization, and a step-by-step breakdown based on the numerator and denominator that make up the final fraction.