Repeating Decimal Calculator

Welcome to the Repeating Decimal Calculator. The unique Repeating Decimal Calculator can calculate if a fraction in its lowest form will have repeating decimals when divided, based on the denominator. The calculator will also show you what the repeating decimals are if you divide 1 by the denominator you enter below.

Please enter your denominator in the box below to get started:

Terminating Decimals
To create this calculator, we divided out 1/n where n is every number from 1 up to 10000. We found that most answers resulted in a repeating decimal. In fact, only 47 of them are terminating.

The denominators under 10000 that make a terminating decimal from a fraction in its lowest form are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1000, 1024, 1250, 1280, 1600, 2000, 2048, 2500, 2560, 3125, 3200, 4000, 4096, 5000, 5120, 6250, 6400, 8000, and 8192.

Most Repeating Decimals
The fraction divided in our research with the most repeating decimals had a whopping 9966 repeating decimals. See if you can figure out what denominator caused that many repeating decimals and then enter it in the search box above to see if you are correct!

Before Repeating Decimals
When we got the repeating decimals by dividing 1 by every number up to 10000, it is interesting to note that the repeating decimals do not necessariy start right after "0." For example, 1/6144 on our list has 11 digits after the decimal point before repeating just 1 digit and 1/5504 has 7 digits after the decimal point before repeating 21 digits.

Below are some examples of what our Repeating Decimal Calculator can do for you:

Denominator of 3 as a repeating decimal

Denominator of 7 as a repeating decimal

Denominator of 49 as a repeating decimal

Denominator of 81 as a repeating decimal

Denominator of 141 as a repeating decimal

Denominator of 257 as a repeating decimal

Denominator of 2 as a repeating decimal

Denominator of 8 as a repeating decimal