Fractions, decimals, and percentages can describe the same quantity in different forms. For example, 1/2, 0.5, and 50% are equivalent. A conversion chart makes these relationships easy to compare and provides a quick reference for common values.
Enter a numerator and denominator to calculate the percentage, decimal, simplified fraction, ratio, and conversion steps.
Fraction, decimal, and percentage notation preserve the same underlying value.
How Fractions, Decimals, and Percentages Relate
A fraction expresses a part relative to a whole using a numerator and denominator.
A decimal expresses the same value using place value, while a percentage expresses it as an amount out of 100.
The Fraction to Percentage Calculator displays these forms together.
How to Convert a Fraction to a Decimal
Divide the numerator by the denominator.
For 3/4, divide three by four to get 0.75.
This decimal has exactly the same value as the original fraction.
How to Convert a Decimal to a Percentage
Multiply the decimal by 100 and add the percent sign.
For 0.75, multiplication by 100 gives 75%.
Moving the decimal point two places to the right performs the same operation.
How to Convert a Percentage to a Decimal
Divide the percentage value by 100.
For 75%, divide 75 by 100 to get 0.75.
This moves the decimal point two places to the left.
How to Convert a Percentage to a Fraction
Write the percentage over 100 and simplify.
For example, 75% becomes 75/100.
Dividing the numerator and denominator by 25 produces 3/4.
Complete Conversion Chart
The following chart contains common exact and rounded equivalents.
Repeating decimals are shown with trailing dots.
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/100 | 0.01 | 1% |
| 1/50 | 0.02 | 2% |
| 1/20 | 0.05 | 5% |
| 1/10 | 0.1 | 10% |
| 1/8 | 0.125 | 12.5% |
| 1/6 | 0.1666... | 16.67...% |
| 1/5 | 0.2 | 20% |
| 1/4 | 0.25 | 25% |
| 3/10 | 0.3 | 30% |
| 1/3 | 0.3333... | 33.33...% |
| 3/8 | 0.375 | 37.5% |
| 2/5 | 0.4 | 40% |
| 1/2 | 0.5 | 50% |
| 3/5 | 0.6 | 60% |
| 5/8 | 0.625 | 62.5% |
| 2/3 | 0.6666... | 66.67...% |
| 7/10 | 0.7 | 70% |
| 3/4 | 0.75 | 75% |
| 4/5 | 0.8 | 80% |
| 5/6 | 0.8333... | 83.33...% |
| 7/8 | 0.875 | 87.5% |
| 9/10 | 0.9 | 90% |
| 1/1 | 1 | 100% |
| 5/4 | 1.25 | 125% |
| 3/2 | 1.5 | 150% |
| 2/1 | 2 | 200% |
Exact and Repeating Decimals
Some fractions produce exact terminating decimals, such as 1/4 equalling 0.25.
Other fractions produce repeating decimals, such as 1/3 equalling 0.3333 continuously.
Repeating percentages may be rounded to an appropriate number of decimal places.
Values Greater Than One
Improper fractions and decimals greater than one produce percentages above 100%.
For example, 5/4 equals 1.25 and 125%.
A result above 100% indicates more than one complete whole.
Negative Values
Negative fractions, decimals, and percentages can also be equivalent.
For example, minus 1/2 equals minus 0.5 and minus 50%.
Keep the negative sign throughout the conversion.
Using the Chart for Mental Maths
A known equivalent can serve as a building block.
If 1/8 equals 12.5%, then 3/8 equals three times 12.5%, or 37.5%.
Simplifying a fraction first may reveal a value already listed in the chart.
Using the Chart for Estimation
Compare an unfamiliar value with nearby familiar fractions.
For example, a fraction slightly greater than one half should produce a percentage slightly above 50%.
This makes the chart useful for checking calculator results.
Common Mistakes
Do not treat the decimal and percentage as identical numbers without changing the scale.
Remember that converting a decimal to a percentage multiplies by 100.
When converting a percentage to a decimal, divide by 100.
Simplify fractions without changing their value.
Conclusion
Fractions, decimals, and percentages are alternative ways to represent the same quantity.
Use the chart for quick reference, mental maths, and result checking.
Use the Fraction to Percentage Calculator for values not listed.
FAQs
What is one half as a decimal and percentage?
One half equals 0.5 and 50%.
What is three quarters in all three forms?
Three quarters equals 0.75 and 75%.
Why do some decimals repeat?
Some denominators do not divide evenly into powers of ten.
Can the chart include values above 100%?
Yes. Improper fractions and decimals above one produce percentages above 100%.
How do I convert a percentage back to a fraction?
Write it over 100 and simplify.