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What is 0.16666666...as fraction .show your work

User Ebsbk
by
5.5k points

1 Answer

1 vote

Answer: 1/6

Work Shown:

x = 0.1666666...

10x = 1.666666...

100x = 16.666666...

100x - 10x = 16.666666... - 1.666666...

90x = 15

x = 15/90

x = (1*15)/(6*15)

x = 1/6

So, 1/6 = 0.1666666...

User Erikstokes
by
4.8k points