Convert a fraction to a simplified ratio, with decimal, percentage, and part-to-whole interpretations.
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Fraction input
How it works
Enter a numerator and denominator. The calculator simplifies the fraction using the greatest common divisor and converts it to a ratio, decimal, and percentage.
Result
3:4 simplifies to 3:4
Interpretations
Also in Ratios & Averages
Arithmetic
A fraction to ratio calculator converts any fraction into its ratio form (e.g. 3/4 → 3:4), simplifies using the greatest common divisor, and shows the decimal and percentage equivalents along with part-to-whole and part-to-part interpretations.
A fraction a/b can be written as the ratio a:b. To simplify, divide both the numerator and denominator by their greatest common divisor (GCD). For example, 6/8 simplifies to 3/4, giving the ratio 3:4.
The ratio represents a comparison between two quantities. A part-to-whole interpretation of 3:4 means 3 out of every 4, while part-to-part means 3 of one kind to 4 of another.
Frequently asked questions
A fraction represents a part of a whole (3/4 of a pizza), while a ratio compares two quantities (3:4 mixing ratio). Mathematically they use the same numbers but convey different meanings.
Ratios are typically expressed with whole numbers. If a fraction has decimal components, you can multiply both parts to clear the decimals before simplifying.
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