A clear answer before the details
To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. To convert a percent to a fraction, write it over 100 and simplify.
Convert a fraction to a percentage
A fraction to percent calculator divides the numerator by the denominator and multiplies by 100. For 1/4, 1 ÷ 4 = 0.25 and 0.25 × 100 = 25%, so the fraction, decimal, and percentage all describe the same quantity. The result is useful for grades, discounts, survey results, probabilities, and progress measurements. Choose precision when the percentage does not terminate neatly.
Move between fractions, decimals, and percentages
Use the percent to fraction calculator mode when a percentage needs an exact rational form: write p% as p/100 and simplify. For decimal to percent, multiply by 100; for percent to decimal, divide by 100. A percentage greater than 100% is valid when a quantity exceeds its reference amount, while negative percentages can describe a decrease. Check the reference whole before interpreting any percentage in a real problem.
Formula guide
The key equations are separated below. Start with the calculator mode, then choose the shape or model that matches your problem.
Fraction to percent
Multiply the decimal value by 100 and add %.
Percent to fraction
Write the percent over 100, then simplify.
Percent to decimal
Move the decimal point two places left.
Decimal to percent
Multiply a decimal by 100 to express it per hundred.
Worked example
For 1/2, 1 ÷ 2 = 0.5 and 0.5 × 100 = 50%. The exact fraction remains 1/2.
Formulas for common use cases
Use the matching equation for the problem you are solving, then enter its variables in the calculator above.
Grades and proportions
Three notations describe the same quantity.
Discounts
Convert the percentage to a decimal before multiplying.
Percentage change
The original value is the reference denominator.
How to use this calculator
- Select the direction of conversion.
- Enter the value in the matching fields.
- Choose decimal precision for rounded output.
- Copy the exact and rounded forms together.
Where it helps
This converter is useful for discounts, test scores, proportions, probability, data summaries, and checking homework. Showing all three representations helps learners understand that 50%, 0.5, and 1/2 describe the same quantity while using different notation.
Common mistakes
Percent means “per hundred,” so do not multiply by 100 twice. Check whether your input is already a decimal or a percentage before choosing a mode. Rounded percentages are convenient for presentation, but keep the fraction for exact work.