How to Use Decimal to Fraction Converter
- Enter the Decimal: Here you can enter any decimal. Decimal can be positive or negative. (i.e 0.75, 2.625, 0.333)
- Click on Convert: Click on the Convert to Fraction button.
- Results Displayed: Get your results displayed as simplified proper/ improper fractions and mixed number form with Greatest Common Divisor (GCD) as well.
Explanation & How It Works
Rational numbers can be represented in two ways, decimals and fractions. To convert a terminating decimal to a fraction , write the digit ( s ) over the corresponding power of 10 according to the number of decimal places , and then simplify .
Calculation Formula & Rules
For a decimal with $k$ places after the period:
Fraction = (Decimal × 10ᵒ) / 10ᵒ
Then divide both numerator and denominator by GCD(Numerator, Denominator).
Example Calculation
Example: Convert 0.625 to a fraction.
- There are 3 decimal places, so multiply by $10^3 = 1000$:
625 / 1000. - Find GCD of 625 and 1000, which is 125.
- Divide numerator and denominator:
(625 ÷ 125) / (1000 ÷ 125) = 5/8. - Result:
5/8.
Common Decimal to Fraction Conversion Reference
| Decimal | Fraction | Decimal | Fraction |
|---|---|---|---|
| 0.125 | 1/8 | 0.5 | 1/2 |
| 0.25 | 1/4 | 0.625 | 5/8 |
| 0.333... | 1/3 | 0.75 | 3/4 |
| 0.375 | 3/8 | 0.875 | 7/8 |
Frequently Asked Questions
Can repeating decimals be converted to fractions?
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Yes! Rational repeating decimals (like 0.333... = 1/3 or 0.666... = 2/3) can always be expressed as an exact ratio of two integers.
Can irrational numbers like Pi be converted to fractions?
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No. Irrational numbers (like π or √2) have non-terminating, non-repeating decimals and cannot be expressed as an exact integer fraction.