Decimal to fraction calculator

Decimal to fraction calculator allows you to convert decimal number to its fraction representation. Enter a number in the input field below and click convert to start the calculation.

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Result

Calculation steps

This is the steps of how to convert decimal to fraction.

1. Firstly, make the input fraction by placing 1 as it denominator.

   $$\frac{\mathrm{0.25}}{1}$$

2. Count the number of digits after the decimal place and let it be n, then find a fraction multiplier with this formula.

   $${10}^n={10}^2=100$$

3. Multiply the fraction multiplier to the fraction obtained in step one.

   $$\frac{0.25\times 100}{1\times 100}=\frac{\mathrm{25}}{\mathrm{100}}$$

4. Find the GCD of numerator and denominator, then divide it to the fraction to reduce the fraction to its simplest form.

   $$\text{gcd(25, 100)}=25$$
   $$\frac{25÷25}{100÷25}=\frac{1}{4}$$

Therefore, the result of converting the decimal to a fraction is:

About decimal to fraction calculator

Decimal to fraction calculator allows you to quickly convert a decimal number to its fraction representation with calculation steps. The input for the calculator has one value which must be a decimal number greater than or equal to zero. The result of the calculation will be a result fraction and can also have a simplified fraction or mixed number in case it's available.