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What is 0.01666666666 as a fraction?

asked
User Lifjoy
by
8.0k points

1 Answer

4 votes
If
x=0.01666...:


x=0.01666...\iff 100x=1.666...~\text{and}~1000x=16.666...

Hence:


1000x-100x=16.666...-1.666...\\\\ 900x=15\\\\ x=(15)/(900)\iff\boxed{x=(1)/(60)}
answered
User Grinmax
by
8.9k points

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