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When expanded as a decimal, the fraction \frac{1}{977} has a repetend (the repeating part of the decimal) that begins right after the decimal point, and is $976$ digits long.  Find the first three digits after the decimal point.

 Jul 5, 2024
 #1
avatar+1277 
+1

 

 

 

               1    

            –––––  =  0.001023541453429   

              977   

 

            That's as far as my calculator reads out.   

.

 Jul 5, 2024

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