What is the denominator of 826 as a repeating decimal? (Recurring digits of 1/826)

Denominator of 826 as a repeating decimal

What is the denominator of 826 as a repeating decimal? First, note that a fraction in its lowest form with the denominator of 826 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 826. In other words, we will show you the recurring digits you get when you calculate 1 divided by 826.

Below is the answer to 1 divided by 826 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.

0.0012106537530266343825665859564164648910411622276029055690072639225181598062953995157384987893462469733656174334140435835351089588377723970944309927360774818401937046004842615012106537530266343825665859564164648910411622276029055690072639225181598062953995157384987893462469733656174334140435835351089588377723970944309927360774818401937046004842615012106537530266343825665859564164648910411622276029055690072639225181598062953995157384987893462469733656174334140435835351089588377723970944309927360774818401937046004842615...

As you can see, the repeating digits are 012106537530266343825665859564164648910411622276029055690072639225181598062953995157384987893462469733656174334140435835351089588377723970944309927360774818401937046004842615 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 174 repeating decimals in 1/826 as a decimal.

Repeating Decimal Calculator
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Denominator of 827 as a repeating decimal
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Note that the answer above only applies to 1/826. You will get a different answer if the numerator is different. Furthermore, 826 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:

0.0012106537530266343825665859564164648910411622276029055690072639225181598062953995157384987893462469733656174334140435835351089588377723970944309927360774818401937046004842615