Convert a decimal to a simplified fraction and a percent. Enter the decimal.
Usage Tip
Count the decimal places: two places means hundredths (over 100), three means thousandths (over 1000).
percent = decimal × 100
Repeating decimals need a different method and are not handled exactly here.
The fraction is reduced, and a mixed number is shown when the value exceeds one.
Repeating decimals (like 0.333…) give an approximate fraction.
A decimal can always be written as a fraction and as a percent. A terminating decimal such as 0.75 equals 75 over 100, which simplifies to 3 over 4, and as a percent it is 75 percent. The percent is simply the decimal multiplied by 100.
The simplified fraction divides the top and bottom by their greatest common factor. Decimals that repeat forever, such as 0.333 and so on, are exact fractions too, but a calculator that only sees a rounded value will give a close fraction instead, so 0.333 becomes 333 over 1000. Fractions like these are used when working with measurements, recipes, and drill sizes.