What is the denominator of 197 as a repeating decimal? (Recurring digits of 1/197)

Denominator of 197 as a repeating decimal

What is the denominator of 197 as a repeating decimal? First, note that a fraction in its lowest form with the denominator of 197 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 197. In other words, we will show you the recurring digits you get when you calculate 1 divided by 197.

Below is the answer to 1 divided by 197 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.

0.005076142131979695431472081218274111675126903553299492385786802030456852791878172588832487309644670050761421319796954314720812182741116751269035532994923857868020304568527918781725888324873096446700507614213197969543147208121827411167512690355329949238578680203045685279187817258883248730964467...

As you can see, the repeating digits are 00507614213197969543147208121827411167512690355329949238578680203045685279187817258883248730964467 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 98 repeating decimals in 1/197 as a decimal.

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Denominator of 198 as a repeating decimal
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Note that the answer above only applies to 1/197. You will get a different answer if the numerator is different. Furthermore, 197 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:

0.00507614213197969543147208121827411167512690355329949238578680203045685279187817258883248730964467