Decimal to Fraction Calculator

Calculator

Converting a decimal to a fraction means writing it as a numerator over a denominator, then simplifying — for example 0.75 becomes 3/4. Thanks to our Decimal to Fraction Calculator you can do it instantly for any decimal, including repeating decimals, and see the result in its simplest form.

Decimal to Fraction Calculator

Enter the decimal number below to convert it to a fraction number:



RESULT:


Example Decimal to Fraction Calculations

0.03 as a fraction0.41 as a fraction0.92 as a fraction0.35 as a fraction
0.61 as a fraction0.86 as a fraction0.82 as a fraction0.52 as a fraction
0.78 as a fraction0.6 as a fraction0.93 as a fraction0.32 as a fraction
0.33 as a fraction0.39 as a fraction0.43 as a fraction0.83 as a fraction
Q&A

How to convert a decimal number to a fraction number?

Here are 3 easy steps on how to convert a decimal number to a fraction number easily.

  1. First, write the decimal number in fractional form with 1 in the denominator. Eg: decimal fraction / 1
  2. Multiply both the numerator and the denominator by ten as many times as the number after the decimal point. So if there are three numbers after the decimal point, then use 1000.
  3. Finally, simplify the fraction by finding the greatest common divisor of the number in the numerator or denominator.

It’s that simple. Let’s look at an example of how it works in practice! Let’s say that decimal is 0.75. And now we will perform the steps described above on this decimal number to convert it to a fraction number.

  1. 0.75 / 1
  2. 75/100 (multiply by 100 because there are 2 more numbers after the decimal point).
  3. Since the greatest common divisor of 75 and 100 is 25, we divide both the numerator and the denominator by 25, so the final result is 3/4.

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Frequently asked questions

How do I convert a decimal to a fraction?

Write the decimal over a power of 10, then simplify. 0.6 becomes 6/10, which reduces to 3/5.

How do I convert a repeating decimal to a fraction?

Use algebra to remove the repeating part. For 0.333..., the fraction is 1/3. The calculator handles repeating decimals automatically.

What is 0.25 as a fraction?

0.25 is 25/100, which simplifies to 1/4.

Can every decimal be written as a fraction?

Every terminating or repeating decimal can. Non-repeating, non-terminating decimals like pi are irrational and cannot be written exactly as a fraction.

How do I simplify the resulting fraction?

Divide the numerator and denominator by their greatest common divisor. The calculator does this for you to give the simplest form.