SOLUTION: How do you change a rational number such as 3.171717171717... to an improper fraction?

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Question 25199: How do you change a rational number such as 3.171717171717... to an improper fraction?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
LET X= 3.171717171717........I....RECURRING...MULTIPLYING WITH 100 BOTH SIDES...
100*X = 317.1717171717......II....RECURRING......SUBTRACTING...
EQN.II- EQN.I GIVES US
100*X-X=314
99X=314
X=314/99