What is the denominator of 1047 as a repeating decimal? (Recurring digits of 1/1047)

Denominator of 1047 as a repeating decimal

What is the denominator of 1047 as a repeating decimal? First, note that a fraction in its lowest form with the denominator of 1047 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 1047. In other words, we will show you the recurring digits you get when you calculate 1 divided by 1047.

Below is the answer to 1 divided by 1047 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.

0.000955109837631327602674307545367717287488061127029608404966571155682903533906399235912129894937917860553963705826170009551098376313276026743075453677172874880611270296084049665711556829035339063992359121298949379178605539637058261700095510983763132760267430754536771728748806112702960840496657115568290353390639923591212989493791786055396370582617...

As you can see, the repeating digits are 00095510983763132760267430754536771728748806112702960840496657115568290353390639923591212989493791786055396370582617 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 116 repeating decimals in 1/1047 as a decimal.

Repeating Decimal Calculator
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Denominator of 1048 as a repeating decimal
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Note that the answer above only applies to 1/1047. You will get a different answer if the numerator is different. Furthermore, 1047 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:

0.00095510983763132760267430754536771728748806112702960840496657115568290353390639923591212989493791786055396370582617