Decimal to Fraction Converter
Convert any decimal number to a simplified fraction. Handles both terminating and common repeating decimals.
This tool is for informational and educational purposes only. It is not a substitute for professional financial, medical, legal, or engineering advice. See Terms of Service.
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Request a ToolHow to Use the Decimal to Fraction Converter
Type a decimal number and the converter instantly shows its fraction equivalent in simplest form. It works with terminating decimals and recognizes common repeating decimals.
- Enter a decimal number. Type any decimal, positive or negative. Examples: 0.75, 0.333, 1.5, -0.25.
- Read the result. The fraction appears in simplified form. The breakdown shows the original decimal and whether simplification was applied.
- Copy or share. Use the buttons to grab the result or send a pre-filled link.
The converter handles repeating decimals like 0.333... (1/3) and 0.1666... (1/6) by recognizing common patterns. For terminating decimals, it counts decimal places, creates the initial fraction, and simplifies using the GCD.
About Decimal to Fraction Conversion
Every terminating decimal can be expressed as a fraction. The process involves placing the decimal digits over a power of 10 (based on the number of decimal places), then simplifying. For example, 0.75 becomes 75/100, which simplifies to 3/4.
Repeating decimals also have exact fraction equivalents. The number 0.333... equals exactly 1/3, and 0.1666... equals exactly 1/6. This converter recognizes many common repeating patterns and returns the exact fraction instead of an approximation.
Frequently Asked Questions
How do you convert a decimal to a fraction?
Count the decimal places, write the number over the matching power of 10, then simplify. For 0.75: put 75 over 100, then divide both by 25 to get 3/4. For repeating decimals like 0.333..., the fraction is 1/3.
Can every decimal be written as a fraction?
Every terminating or repeating decimal can be written as a fraction. Non-repeating, non-terminating decimals (like pi = 3.14159...) are irrational numbers and cannot be expressed as exact fractions.
Does this handle negative decimals?
Yes. Negative decimals are converted the same way, with the negative sign applied to the numerator. For example, -0.5 converts to -1/2.