Convert between fractions, decimals, and percentages instantly with simplification and step-by-step work.
Type a fraction like 3/4 or a decimal like 0.75.
See the equivalent decimal, fraction, or percentage immediately.
Click copy to use the converted value in your work.
Enter one value as a fraction, a base-10 decimal, or a percentage to see the same quantity in all three forms. The converter performs the division or scaling, reduces fractional results to lowest terms, and shows the intermediate arithmetic so the equivalence can be checked. The most common scale error is assuming that a percent sign is only a label. It means per hundred: 0.5% equals 0.005, whereas the decimal 0.5 equals 50%. Those two inputs differ by a factor of 100.
A concrete input and expected output from the current implementation.
Input
3/8
Expected output
3/8 = 0.375 = 37.5%
Dividing 3 by 8 gives 0.375 exactly. Multiplying 0.375 by 100 gives 37.5, so the percentage form is 37.5%.
Starting with a/b, the converter divides a by b to obtain the decimal, provided b is not zero. When it creates or receives a fraction, common factors are canceled to express the ratio in lowest terms. For a terminating decimal, place value supplies the denominator: 0.375 is 375/1000, and dividing both terms by 125 gives 3/8.
Percent means a number per hundred. To convert a decimal to a percentage, multiply by 100 and add the percent sign; to reverse the conversion, divide the percentage number by 100. Fraction-to-percentage conversion follows the same chain: divide the numerator by the denominator, then multiply by 100. The shown steps make this change of scale explicit.
No. After a fraction is reduced, its base-10 decimal terminates only if the denominator's prime factors are limited to 2 and 5. For example, 3/8 terminates as 0.375, while 1/3 repeats. A finite string used for a repeating value is an approximation unless the notation explicitly indicates repetition.
Not necessarily. Conversion can preserve only the digits that are entered. The decimal 0.33 is exactly 33/100, so it does not identify 1/3, even if 0.33 originally came from rounding one third. When exact recovery matters, enter the source fraction rather than a previously rounded decimal.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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