What is the denominator of 5745 as a repeating decimal? (Recurring digits of 1/5745)

Denominator of 5745 as a repeating decimal

What is the denominator of 5745 as a repeating decimal? First, note that a fraction in its lowest form with the denominator of 5745 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 5745. In other words, we will show you the recurring digits you get when you calculate 1 divided by 5745.

Below is the answer to 1 divided by 5745 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.

0.0001740644038294168842471714534377719756309834638816362053959965187119234116623150565709312445604873803307223672758920800696257615317667536988685813751087902523933855526544821583986074847693646649260226283724978241949521322889469103568320278503046127067014795474325500435161009573542210617928633594429939077458659704090513489991296779808529155787641427328111401218450826805918189730200174064403829416884247171453437771975630983463881636205395996518711923411662315056570931244560487380330722367275892080069625761531766753698868581375108790252393385552654482158398607484769364664926022628372497824194952132288946910356832027850304612706701479547432550043516100957354221061792863359442993907745865970409051348999129677980852915578764142732811140121845082680591818973020017406440382941688424717145343777197563098346388163620539599651871192341166231505657093124456048738033072236727589208006962576153176675369886858137510879025239338555265448215839860748476936466492602262837249782419495213228894691035683202785030461270670147954743255004351610095735422106179286335944299390774586597040905134899912967798085291557876414273281114012184508268059181897302...

As you can see, the repeating digits are 0017406440382941688424717145343777197563098346388163620539599651871192341166231505657093124456048738033072236727589208006962576153176675369886858137510879025239338555265448215839860748476936466492602262837249782419495213228894691035683202785030461270670147954743255004351610095735422106179286335944299390774586597040905134899912967798085291557876414273281114012184508268059181897302 which will repeat indefinitely. When we counted the repeating decimals, we found that there are 382 repeating decimals in 1/5745 as a decimal.

Repeating Decimal Calculator
Want the repeating decimal for another fraction with a numerator of one? If so, please enter the denominator below.

Denominator of 5746 as a repeating decimal
Here is the next denominator on our list that we have similar repeating decimal information about.

Note that the answer above only applies to 1/5745. You will get a different answer if the numerator is different. Furthermore, 5745 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:

0.00017406440382941688424717145343777197563098346388163620539599651871192341166231505657093124456048738033072236727589208006962576153176675369886858137510879025239338555265448215839860748476936466492602262837249782419495213228894691035683202785030461270670147954743255004351610095735422106179286335944299390774586597040905134899912967798085291557876414273281114012184508268059181897302