Decimal to Fraction Converter
Convert decimals to fractions.
Input
Result
What is a Decimal to Fraction Converter?
A Decimal to Fraction Converter turns a decimal number into its exact fraction equivalent. It handles terminating decimals, repeating decimals, and mixed numbers, always simplifying the result to the lowest terms.
How to convert a decimal to a fraction manually (the formula)
Write the decimal as a fraction over a power of 10 (e.g., 0.75 = 75/100). Then simplify by dividing numerator and denominator by their GCF. For repeating decimals, set up an equation, multiply to shift the repeating part, subtract, and solve for x.
Example calculation
Convert 0.75 to a fraction. 0.75 = 75/100. The GCF of 75 and 100 is 25. 75 ÷ 25 = 3, 100 ÷ 25 = 4. So 0.75 = 3/4.
Common mistakes
- Using the wrong power of 10 — The denominator should be 10 for 1 decimal place, 100 for 2, 1000 for 3, and so on.
- Forgetting to simplify — Always reduce the fraction to lowest terms. 75/100 is correct but 3/4 is simpler.
- Mishandling repeating decimals — Repeating decimals cannot be written simply over a power of 10. Use the algebraic method to convert them accurately.
Frequently asked questions
How do I convert a decimal to a fraction?
Write the decimal over a power of 10, then simplify.
What is 0.5 as a fraction?
0.5 equals 1/2.
What is 0.75 as a fraction?
0.75 equals 3/4.
How do I convert a repeating decimal to a fraction?
Set up an equation, multiply by a power of 10, subtract, and solve for x.
What is 0.333... as a fraction?
0.333... equals 1/3.