SOLUTION: How do we change 0.16666... to a fraction

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Question 168940: How do we change 0.16666... to a fraction
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do we change 0.16666... to a fraction
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Let x = 0.166666...
Then 10x = 1.6666666....
And 100x = 16.6666666....
EQUQTION:
100x - 10x = = 16.666666...- 1.6666666....
90x = 15
x = 15/90
x = 5/30
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Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can do it with this trick:
n+=+.1666666etc
10n+=+1.666666etc
Now find 10n+-+n
10n+-+n+=+1.5 All those pesky 6's subtract away
9n+=+1.5
n+=+1.5%2F9
n+=+1%2F6 Yea!