Decimal to Fraction Calculator
Use this decimal to fraction calculator to convert a terminating decimal into a simplified fraction, improper fraction, mixed number, and percentage.
| Decimal Number |
How to Use the Decimal to Fraction Calculator
Enter a decimal value to convert it into a simplified fraction.
Practical Example
Entering 0.75 returns 3/4 after reducing the equivalent fraction.
Factors That Affect the Result
Repeating or rounded decimals may only approximate the original fraction, and input precision can affect the simplified result.
Frequently Asked Questions
Can negative decimals be converted?
Yes. The sign is preserved.
Are repeating decimals exact?
Only when the repeating pattern is represented accurately.
Is the fraction simplified?
Yes, the result is reduced when possible.
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How a Decimal Becomes a Fraction
A terminating decimal can be written as an integer over a power of ten and then simplified. For example, 0.75 is 75/100, which reduces to 3/4. Likewise, 1.25 is 125/100 and simplifies to 5/4, or 1 1/4 as a mixed number.
Rounding and Precision
The number of decimal places matters. A value such as 0.333 is exactly 333/1000 if those three digits are treated as the complete input, while the repeating decimal 0.333… represents exactly 1/3. This distinction is important when converting rounded measurements or calculated values.
When Fractions Are More Useful
Fractions can preserve exact ratios and are often easier to understand in recipes, construction, mathematics, and proportional comparisons. Decimal notation is usually more convenient for calculators and spreadsheets. After conversion, simplifying by the greatest common factor gives the fraction in lowest terms. Negative decimals keep their sign, and whole-number portions can be represented either as improper fractions or mixed numbers depending on the context.