Fraction to Decimal Calculator
Convert a fraction or mixed number to an exact decimal, with any repeating digits marked.
Change the values and press Calculate to work out your own figures.
Enter a fraction (a whole-number part is optional).
Show the working
- Divide the numerator by the denominator (a remainder that comes back means the digits repeat)
How to use it
Enter a fraction (a whole-number part is optional).
Numbers can be whole numbers, decimals (0.75), fractions (3/4), mixed numbers (1 1/2), repeating decimals (0.(3)) and, where a percent is asked for, percentages (75%). Show the working gives each step.
Key facts
decimal = numerator ÷ denominator
Repeating decimals
A fraction in lowest terms ends only when its denominator has no prime factors but 2 and 5; otherwise the digits repeat.
Questions
What is 1/7 as a decimal?
0.(142857), the six digits repeating.
What is 3/8?
0.375.
Formulas
decimal = numerator ÷ denominator
Sources
Limitations
- Numbers have at most 120 digits.