SOLUTION: how Convert the recurring decimal 2.417417 to a fraction. You must use algebra.

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Question 859768: how Convert the recurring decimal 2.417417 to a fraction. You must use algebra.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

let x = 2.417417  

1000 x = 2417.417etc

     -x =         2.417etc

 999x = 2415

    x = 2415/999 = 805/333