Decimal to Fraction Calculator
Convert any decimal number into its simplest fraction quickly and accurately.
How It Works
The decimal is converted into a fraction and reduced to its simplest form.
Quick Examples
What is the Decimal to Fraction Calculator used for?
The Decimal to Fraction Calculator is used to change a decimal number into its equivalent fraction. It is helpful when working with measurements, school mathematics, recipes, or calculations where fractions are easier to use. For example, a decimal such as 0.75 can be written as 3/4. The conversion preserves the value while expressing it in a different mathematical form.
How do I convert a decimal into a fraction?
For a terminating decimal, first write the number over a power of 10 based on the number of decimal places. For example, 0.625 has three decimal places, so it becomes 625/1000. Then simplify the fraction by dividing the numerator and denominator by their greatest common factor. In this case, 625/1000 simplifies to 5/8.
How is a decimal fraction simplified?
After the decimal is written as a fraction, divide both the numerator and denominator by their greatest common divisor. For example, 0.6 becomes 6/10. Since both numbers are divisible by 2, the fraction reduces to 3/5. This process is known as simplifying fractions and produces an equivalent fraction with smaller whole numbers when possible.
How can I check whether a decimal to fraction result is correct?
=A simple check is to divide the numerator by the denominator and compare the result with the original decimal. For example, if a decimal to fraction conversion gives 5/8 for 0.625, calculate 5 ÷ 8 = 0.625. For terminating decimals, this provides a direct way to confirm that the equivalent fraction represents the same value.