What is the denominator of 691 as a repeating decimal? (Recurring digits of 1/691)

Denominator of 691 as a repeating decimal

What is the denominator of 691 as a repeating decimal? First, note that a fraction in its lowest form with the denominator of 691 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 691. In other words, we will show you the recurring digits you get when you calculate 1 divided by 691.

Below is the answer to 1 divided by 691 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.

0.001447178002894356005788712011577424023154848046309696092619392185238784370477568740955137481910274963820549927641099855282199710564399421128798842257597684515195369030390738060781476121562952243125904486251808972503617945007235890014471780028943560057887120115774240231548480463096960926193921852387843704775687409551374819102749638205499276410998552821997105643994211287988422575976845151953690303907380607814761215629522431259044862518089725036179450072358900144717800289435600578871201157742402315484804630969609261939218523878437047756874095513748191027496382054992764109985528219971056439942112879884225759768451519536903039073806078147612156295224312590448625180897250361794500723589...

As you can see, the repeating digits are 00144717800289435600578871201157742402315484804630969609261939218523878437047756874095513748191027496382054992764109985528219971056439942112879884225759768451519536903039073806078147612156295224312590448625180897250361794500723589 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 230 repeating decimals in 1/691 as a decimal.

Repeating Decimal Calculator
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Denominator of 692 as a repeating decimal
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Note that the answer above only applies to 1/691. You will get a different answer if the numerator is different. Furthermore, 691 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:

0.00144717800289435600578871201157742402315484804630969609261939218523878437047756874095513748191027496382054992764109985528219971056439942112879884225759768451519536903039073806078147612156295224312590448625180897250361794500723589