Decimal to Fraction Calculator
Use this free online decimal to fraction calculator to convert any decimal number to its equivalent fraction in simplest form. Enter a decimal and get the simplified fraction instantly.
Enter Values
Result
Enter values above and click Calculate to see your result.
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Formula
How it works: Multiply the decimal by a power of 10 to remove the decimal point, then simplify using the GCD.
Review and Methodology
This calculator runs locally in your browser. Inputs are converted into the units required by the formula, and the result is paired with supporting references so you can verify the method before using it for planning or estimates.
Worked Example
How to Convert Decimals to Fractions
Converting a decimal to a fraction involves writing the decimal as a fraction over a power of 10, then simplifying. The number of decimal places determines which power of 10 to use as the denominator. This process works for any terminating decimal.
- 0.5 has 1 decimal place, so it becomes 5/10, which simplifies to 1/2
- 0.75 has 2 decimal places, so it becomes 75/100, which simplifies to 3/4
- 0.125 has 3 decimal places, so it becomes 125/1000, which simplifies to 1/8
- Repeating decimals (like 0.333...) require a different algebraic method to convert
Converting between decimals and fractions is a practical skill used in cooking (recipes often use fractions), construction (measurements), and mathematics (simplifying expressions).
You can also calculate changes using our Fraction Calculator or Percentage Calculator.
Frequently Asked Questions
How do I convert a decimal to a fraction?
Write the decimal over a power of 10 based on the number of decimal places, then simplify by dividing both numerator and denominator by their GCD. For example, 0.6 = 6/10 = 3/5.
Can all decimals be expressed as fractions?
Terminating decimals (like 0.25) and repeating decimals (like 0.333...) can be expressed as fractions. Irrational numbers (like pi = 3.14159... or sqrt(2) = 1.4142...) cannot.
What is a mixed number?
A whole number combined with a proper fraction, e.g. 1.75 = 1 3/4. To convert, separate the whole part and convert only the decimal part to a fraction.
How do I convert a repeating decimal to a fraction?
For 0.333..., let x = 0.333..., then 10x = 3.333..., subtract: 9x = 3, so x = 3/9 = 1/3. The method involves multiplying by a power of 10 to shift the repeating part.
What are common decimal-to-fraction equivalents?
0.25 = 1/4, 0.5 = 1/2, 0.75 = 3/4, 0.125 = 1/8, 0.2 = 1/5, 0.333... = 1/3, 0.666... = 2/3. Memorizing these speeds up mental math.
How can I put this Decimal to Fraction Calculator on my blog or website?
Yes, the Decimal to Fraction Calculator is fully embeddable. Tap "Embed" above to configure appearance and copy the code. It is free to use, works on any platform (HTML, WordPress, CMS), and adjusts to any screen size automatically. Visit calculory.com/services/embed-calculators for the complete guide.
AI Assistant
Ask about this calculator
I can help you understand the decimal to fraction calculator formula, interpret your results, and answer follow-up questions.
Try asking
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