What is the denominator of 5730 as a repeating decimal? (Recurring digits of 1/5730)

Denominator of 5730 as a repeating decimal

What is the denominator of 5730 as a repeating decimal? First, note that a fraction in its lowest form with the denominator of 5730 will always have a repeating decimal if you divide the fraction (numerator divided by denominator).

Here we will count and show you the repeating digits when the numerator is 1 and denominator is 5730. In other words, we will show you the recurring digits you get when you calculate 1 divided by 5730.

Below is the answer to 1 divided by 5730 with the repeating decimals. We colored each interval of repeating decimals in different colors so it is easy for you to see. The repeating decimals (recurring digits) go on forever.

0.0001745200698080279232111692844677137870855148342059336823734729493891797556719022687609075043630017452006980802792321116928446771378708551483420593368237347294938917975567190226876090750436300174520069808027923211169284467713787085514834205933682373472949389179755671902268760907504363...

As you can see, the repeating digits are 00174520069808027923211169284467713787085514834205933682373472949389179755671902268760907504363 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 95 repeating decimals in 1/5730 as a decimal.

Repeating Decimal Calculator
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Denominator of 5731 as a repeating decimal
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Note that the answer above only applies to 1/5730. You will get a different answer if the numerator is different. Furthermore, 5730 as a denominator in a fraction is only repeating for sure if the fraction is in its lowest form possible.

Bonus: To communicate what numbers are repeating in a repeating decimal, you put a line (vinculum) over the repeating digits like this:

0.000174520069808027923211169284467713787085514834205933682373472949389179755671902268760907504363