Decimal to Fraction Calculator

This calculator converts any decimal number into a fraction in simplest form. Just enter a decimal value, and it will instantly show the equivalent fraction. It also provides step-by-step working so you can see exactly how the conversion is done.

How to Convert Decimals to Fractions Step-by-Step

Converting decimals to fractions is simple if you follow a few clear steps. Here are simple steps to follow if you need to convert non-repeating decimals to fraction:

Step 1: Write the decimal as a fraction

Start by writing the decimal number over 1.

For example, 0.75 =$ \dfrac{0.75}{1}$

Then, multiply both the numerator and denominator by 10 for each decimal place. In this case, there are two decimal places, so multiply by 100. This gives:
$=\dfrac{0.75 \times 100}{1 \times 100}$

$= \dfrac{75}{100}$

Step 2: Simplify the fraction

Find the greatest common divisor (GCD) of the numerator and denominator.

For instance, the GCD of 75 and 100 is 25. Now divide both the numerator and denominitor by the GCD. Thus, we have:

$\dfrac{75 ÷ 25}{100 ÷ 25}$

$ = \dfrac{3}{4}$

Step 3: Write as a mixed number (if needed)

If the numerator is larger than the denominator, convert it to a mixed fraction. Otherwise, leave the answer as a proper fraction. For example, if the answer is $\dfrac{11}{4}$, then you’ll need to convert it to a mixed number to get $2\dfrac{3}{4}$.

Need help converting an improper fraction to a mixed fraction? Try our improper to mixed fraction calculator.

Step 4: Confirm your answer

Do you want to confirm whether your calculations are correct? Use our decimal to fraction converter to get accurate results, along with step-by-step explanations. If you get the same fraction, then your conversion is correct. Otherwise, crosscheck your calculations.

Converting Decimals to Fractions: Worked Examples

Example 1: Convert 0.5 to a fraction

• Step 1: 0.5 has one digit after the decimal → denominator is 10.
• Step 2: Write as 5/10.
• Step 3: Simplify → 1/2.

Example 2: Convert 0.125 to a fraction

• Step 1: 0.125 has three digits after the decimal → denominator is 1000.
• Step 2: Write as 125/1000.
• Step 3: Simplify → 1/8.

Want to Convert Fractions to Decimals? Use our Fraction to Decimal Calculator to instantly turn any fraction into a decimal.

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