How to go from 1/6 to 16 2/3

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A VCR is programmed to record a TV show that lasts for a half hour. If the cassette tape used can accommodate 180 minutes of programming, what percent of the tape is used for this recording?

I did 30/180, reduced to 1/6.

I know the answer is 16 2/3% because I have a key.

How did they turn 1/6 into 16 2/3?

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$\frac{1}{6}\times 100\%=16\frac 23\%$