Percent to Fraction Calculator

Overview

This percent to fraction calculator converts any percent into a simplified fraction. It shows every step of the math. Students and teachers see each stage clearly. You get fast, clean results you can trust.

How It Works

The calculator first writes the percent over 100. If the percent has decimals, it scales both numbers to remove the decimal. Then it finds the greatest common divisor called GCD using the Euclidean method. The greatest common divisor means the largest whole number that divides both. It then divides numerator and denominator by that number. You get the fraction in lowest terms. Entering zero returns 0 over 1 with a short note.

How to Use This Tool

Follow these steps to use the calculator.

1. Type the percent value in the number field.
2. Leave off the percent sign and enter digits only.
3. Use a decimal point for parts of a percent like 12.5.
4. Click Convert to Fraction to run the calculation.
5. You can press Enter to convert.
6. Read the steps and the final fraction under Conversion Steps.

Input field: Enter a number like 25 or 12.5 or -7. It accepts positive and negative values.

Convert button: Starts the conversion and displays the explanation.

Output: The tool lists Step 1 then Step 2 then Step 3. It then shows the final fraction in simplest form. You also see the GCD used in simplification.

The Code Behind the Magic

The calculator uses clear rules from basic number theory. It turns a percent into a fraction over 100. For decimal percents, it multiplies top and bottom by a factor of ten. That removes the decimal and keeps the value exact. Next it finds the greatest common divisor by the Euclidean method. This method repeats division until the remainder equals zero. The greatest common divisor gives the highest shared factor. Dividing by that factor reduces the fraction to lowest terms.

• Enter digits only and leave off symbols and spaces.
• Use a dot as the decimal point.
• Percent values above 100 produce improper fractions.
• Zero percent returns 0 over 1.
• Large decimals may create large numerators and denominators.
• Empty input or letters show an error message.

Why Use This Tool?

You need quick and exact conversion for class or work. This percent to fraction calculator saves time and shows clear reasoning. It fits math lessons, exam prep, and daily tasks.

• Homework checks for fractions from percent values.
• Teaching steps for reducing fractions in class.
• Exam prep with clear worked examples.
• Recipe scaling where a percent must become a fraction.
• Finance tasks like discount math and interest shares.

Sample conversions for reference.

• 25 percent becomes 1 over 4.
• 50 percent becomes 1 over 2.
• 62.5 percent becomes 5 over 8.
• 125 percent becomes 5 over 4.
• Minus 12.5 percent becomes minus 1 over 8.

Conclusion

Type a percent then click Convert to Fraction. You get a clear fraction with steps. This percent to fraction calculator keeps your work consistent and easy to review.