Decimal to Fraction Calculator
Type a decimal to see it as a fraction in lowest terms, a mixed number and a percentage. Put repeating digits in brackets, for example 0.(3).
Este conteúdo está em inglês.
Type 0.(3) for 0.3333 repeating, or 0.1(6) for 0.1666 repeating. The closest fraction is shown for decimals that stop.
Exemplos resolvidos
A decimal that stops
0.375
3/8
0.375 is 375/1000, and 375 and 1000 both divide by 125.
A repeating decimal
0.1(6)
1/6
The 6 repeats for ever, so the answer is exact and not a rounded value.
A mixed number
2.125
2 1/8
As an improper fraction this is 17/8.
Sobre Decimal to Fraction Calculator
A decimal to fraction calculator converts a number such as 0.75 into the fraction it stands for, here three quarters. Type the decimal and the page shows the fraction in lowest terms, the same value as an improper fraction and as a mixed number where that applies, and the percentage. It is useful for homework and exam practice, for measuring and cooking, for woodwork and sewing, and any time a decimal on a screen has to become a fraction on a ruler or a recipe.
It also handles decimals that never end. A calculator shows one third as 0.3333333, which is only a rounded version of the real value. Put the repeating digits in brackets, so 0.(3) for one third or 0.1(6) for one sixth, and the tool returns the exact fraction with no rounding. If you have a long, rounded decimal such as 0.333333, the closest simple fraction option finds the neat fraction with a small bottom number that it is closest to.
Como usar Decimal to Fraction Calculator
- Type your decimal into the box, for example 0.375 or 2.125.
- For digits that repeat for ever, put them in brackets, for example 0.(6) or 0.8(3).
- Read the fraction in lowest terms, the mixed number and the percentage.
- To find a simple fraction near a rounded decimal, set the biggest bottom number you want and read the closest fraction.
Usos comuns
- Checking maths homework and revision answers
- Converting a measurement such as 0.625 inches to a fraction of an inch
- Scaling a recipe or a pattern
- Turning a rounded decimal back into a simple fraction
Perguntas frequentes
How do you convert a decimal to a fraction?
Write the digits after the decimal point as the top number and a one followed by that many zeros as the bottom number, then cancel common factors. For 0.75 that is 75 over 100, and dividing both by 25 gives 3 over 4.
How do I convert a repeating decimal to a fraction?
Put the repeating digits in brackets, such as 0.(3). The tool uses the exact method for repeating decimals, so 0.(3) gives 1/3, 0.(6) gives 2/3 and 0.1(6) gives 1/6, with nothing rounded.
What is 0.375 as a fraction?
0.375 is 375 over 1,000. Dividing the top and bottom by 125 gives 3 over 8, so 0.375 is three eighths.
What is the closest fraction option for?
A decimal that has been rounded, such as 0.333333 or 0.142857, is not exactly a neat fraction, but it is very close to one. The closest fraction option finds the simplest fraction within the bottom number limit you set, such as 1/3 for 0.333333.
How do I turn a fraction into a decimal?
Divide the top number by the bottom number. For 3 over 8 that is 3 divided by 8, which is 0.375. The fraction calculator on this site works with fractions directly.