How fraction to decimal converter works
A fraction is just a division written differently: the numerator divided by the denominator. To convert a fraction to a decimal, divide the top by the bottom. Some fractions terminate (1/4 = 0.25) and some repeat forever (1/3 = 0.333…), and which one happens depends on the denominator's prime factors.
This converter performs the long division exactly, so it can tell the difference between a terminating decimal and a repeating one. It rounds the result to the number of places you choose (6 by default) and, when the decimal repeats, it reports the repeating cycle in the standard notation 0.(3) for 0.333…. A fraction terminates if the denominator's only prime factors are 2 and 5; otherwise it repeats.
Enter the numerator, denominator, and how many decimal places you want. The tool returns the rounded decimal, the exact value, and the repeating cycle if there is one. Use it for homework, machining measurements, and converting fractional odds or ratios into decimals.