Convert FRACTION to DECIMAL, Free
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How to convert FRACTION to DECIMAL
Converting a fraction to its decimal equivalent is required constantly in cooking, construction, finance, and science. The operation is a simple division: divide the numerator by the denominator. 3/4 becomes 0.75, 1/3 becomes 0.333..., and 7/8 becomes 0.875. This tool handles mixed numbers (like 2 3/4), proper fractions, and improper fractions, and it labels repeating decimals so you know when the result is non-terminating.
Repeating decimals like 1/3 = 0.333... or 1/7 = 0.142857142857... are exact rational numbers but cannot be written with a finite number of decimal digits. The tool shows the repeating block with bar notation when applicable and provides a truncated decimal for practical use.
Enter the fraction
Type the numerator and denominator separately, or enter a mixed number like 2 3/4 using the provided fields.
View the decimal result
The converter divides numerator by denominator and displays the result. Repeating decimals are shown with the repeating block indicated.
Copy the decimal value
Click to copy the decimal for use in a spreadsheet, calculator, or written calculation.
Check for mixed number form
For improper fractions (where numerator is larger than denominator), the mixed number equivalent is also shown alongside the decimal.
Frequently asked questions
How do you convert a fraction to a decimal?
Divide the top number (numerator) by the bottom number (denominator). For example, 3/8 = 3 divided by 8 = 0.375. You can do this on any calculator by typing 3 / 8.
Why does 1/3 give a repeating decimal?
A fraction produces a terminating decimal only if the denominator, in its fully reduced form, has no prime factors other than 2 and 5. The number 3 has neither 2 nor 5 as a factor, so 1/3 repeats indefinitely as 0.333...
What fractions produce terminating decimals?
Fractions whose denominators (after simplification) are multiples of only 2 and/or 5: halves (0.5), quarters (0.25), eighths (0.125), tenths (0.1), twentieths (0.05), and so on. Any other denominator factor will produce a repeating decimal.
How do I convert a mixed number like 3 1/2 to a decimal?
Convert just the fractional part to a decimal and add the whole number. 3 1/2 = 3 + (1/2) = 3 + 0.5 = 3.5. For 4 5/8: 4 + (5/8) = 4 + 0.625 = 4.625.
What are the common fraction-to-decimal values I should know?
1/2 = 0.5, 1/3 = 0.333..., 1/4 = 0.25, 1/5 = 0.2, 1/6 = 0.1666..., 1/8 = 0.125, 1/10 = 0.1, 3/4 = 0.75, 2/3 = 0.666..., 5/8 = 0.625, 7/8 = 0.875.