Decimal to Fraction Calculator
Convert a decimal, including a repeating decimal such as 0.(3), to a fraction in lowest terms.
Change the values and press Calculate to work out your own figures.
Enter a decimal; write a repeating block in parentheses, e.g. 0.1(6).
Show the working
- Write over a power of 10 (or, for a repeating decimal, over 9s) and simplify: 3/4
How to use it
Enter a decimal; write a repeating block in parentheses, e.g. 0.1(6).
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
0.abc = abc ÷ 1000; 0.(ab) = ab ÷ 99
Repeating decimals
A block that repeats forever turns into a denominator of 9s: 0.(27) = 27/99 = 3/11.
Questions
What is 0.75 as a fraction?
3/4.
What is 0.333… as a fraction?
1/3.
Formulas
0.abc = abc ÷ 1000; 0.(ab) = ab ÷ 99
Sources
Limitations
- Numbers have at most 120 digits.