Convert DECIMAL to FRACTION, Free
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How to convert DECIMAL to FRACTION
Expressing a decimal as a fraction is often necessary in cooking recipes, woodworking measurements, and math coursework where fractions communicate precision differently than decimal notation. For example, 0.75 is more intuitively grasped as three quarters in a recipe, and 0.625 inches on a ruler corresponds to 5/8 inch, a standard imperial measurement.
The converter finds the exact fraction for terminating decimals (those with finite digits) and the best rational approximation for repeating decimals, then reduces it to lowest terms using the greatest common divisor. Results are displayed in the form numerator/denominator alongside the mixed number equivalent for values greater than one.
Enter the decimal number
Type your decimal value, for example 0.333, 1.75, or 3.125. Include leading zeros if needed.
View the fraction
The converter computes the fraction and simplifies it to lowest terms. 0.75 becomes 3/4, not 6/8.
Check the mixed number form
For decimals greater than 1, the converter also shows the mixed number (for example, 2.5 = 2 1/2), which is standard in recipes and carpentry.
Verify by dividing
Confirm accuracy by dividing the numerator by the denominator on a calculator. The result should match your original decimal.
Frequently asked questions
How do you convert a decimal to a fraction manually?
Write the decimal as a fraction over the appropriate power of 10. For 0.75, write 75/100, then simplify: both divide by 25 to get 3/4. For a decimal with two digits after the point, use 100 as the denominator; for three digits, use 1000.
What happens with repeating decimals like 0.333...?
For 0.333... (one third), the exact fraction is 1/3. For 0.666..., it is 2/3. The converter recognizes common repeating patterns. If you enter a truncated version like 0.333, it will return 333/1000, which is a close but not exact representation.
Why can some decimals not be expressed as exact fractions?
Irrational numbers like pi (3.14159...) and the square root of 2 cannot be expressed as any exact fraction. Rational numbers, including all terminating and all repeating decimals, can always be written as exact fractions.
What does reducing to lowest terms mean?
A fraction is in lowest terms when the numerator and denominator share no common factor other than 1. 4/8 is not in lowest terms; 1/2 is. The converter applies the Euclidean algorithm to find the greatest common divisor and divides both values by it.
What is the fraction for common imperial measurements?
0.125 = 1/8, 0.25 = 1/4, 0.375 = 3/8, 0.5 = 1/2, 0.625 = 5/8, 0.75 = 3/4, 0.875 = 7/8. These map to standard ruler markings and are commonly needed in construction and woodworking.