Convert decimals to simplified fractions, mixed numbers, and percentages with this free decimal to fraction calculator.
Step 1:
Write the decimal as a fraction over a power of 10.
Step 2:
Simplify the fraction by dividing numerator and denominator by their greatest common factor.
Step 3:
Convert to a mixed number when needed.
Repeating decimals:
Use algebra to remove the repeating part and solve exactly.
Fractions are often easier to use in exact math, measurements, ratios, and algebra. Converting decimals to fractions helps show precise values without rounding.
This is useful for school math, construction, recipes, engineering, and everyday calculations.
Your result shows the decimal as a simplified fraction and, when useful, as a mixed number and percentage. Supporting values also show the original unsimplified fraction form.
This makes it easier to see both the exact value and the simplified answer.
Write the decimal over a power of 10, then simplify the fraction.
A mixed number combines a whole number with a proper fraction, such as 2 3/4.
An improper fraction has a numerator that is equal to or greater than the denominator.
Yes. Repeating decimals always have exact fraction forms.