Wednesday, December 4, 2019

Recurring decimals to fraction


  1. .¯36=3699

  2. 2.1¯36=2322

The part I do not understand however, is "you could used 1) to speed up the working of 2)" which is written in the book.


How would I use 1) to help me work out 2)?


Thanks.


Answer



2.1¯39=2+0.1+1100.¯39



So, 2.1¯39=2+110+1103699=2+110(1+411)=2+1101511=2+322


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